Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150129A common fixed point theorem for weakly compatible maps satisfying common property (E:A:) and implicit relation in intuitionistic fuzzy metric spaces1820110.22075/ijnaa.2015.201ENSaurav ManroSchool of Mathematics and Computer Applications, Thapar University, Patiala (Punjab) IndiaJournal Article20130525In this paper, employing the common property ($E.A$), we prove a common fixed theorem for weakly compatible mappings via an implicit relation in Intuitionistic fuzzy metric space. Our results generalize the results of S. Kumar [S. Kumar, {it Common fixed point theorems in Intuitionistic fuzzy metric spaces using property (E.A)}, J. Indian Math. Soc., 76 (1-4) (2009), 94--103] and C. Alaca et al. [C. ~Alaca, D. ~Turkoglu and C. ~Yildiz, {it Fixed points in Intuitionistic fuzzy metric spaces}, Chaos Solitons and Fractals, 29 (2006), 1073--1078].https://ijnaa.semnan.ac.ir/article_201_f58c41ff17bb83a4c9147749d69d0d72.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150210Fixed point theorems on generalized $c$-distance in ordered cone $b$-metric spaces92217410.22075/ijnaa.2015.174ENB. BaoSchool of Mathematics and Statistics, Hubei Normal University,
Huangshi, 435002, China.S. XuDepartment of Mathematics and Statistics, Hanshan
Normal University, Chaozhou, 521041, China.L. ShiFaculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, Serbia.V. Cojbasic RajicFaculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, Serbia.Journal Article20130823In this paper, we introduce a concept of a generalized $c$-distance in ordered cone $b$-metric spaces and, by using the concept, we prove some fixed point theorems in ordered cone $b$-metric spaces. Our results generalize the corresponding results obtained by Y. J. Cho, R. Saadati, Shenghua Wang (Y. J. Cho, R. Saadati, Shenghua Wang, Common fixed point heorems on generalized distance in ordered cone metric spaces, J. Computers and Mathematics with Application. 61 (2011), 1254-1260). Furthermore, we give some examples and an application to support our main results.https://ijnaa.semnan.ac.ir/article_174_6fefe720b17c5a41acbe25bc5f0d44a8.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150208Bernstein's polynomials for convex functions and related results233417510.22075/ijnaa.2015.175ENG. ZabandanDepartment of Mathematics,
Faculty of Mathematical Sciences and Computer
Kharazmi University,
50 Taleghani Avenue,
Tehran, 15618, Iran.Journal Article20130416In this paper we establish several polynomials similar to Bernstein's polynomials and several refinements of Hermite-Hadamard inequality for convex functions.https://ijnaa.semnan.ac.ir/article_175_8e0f105594e1e4289810244121d58b79.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150214Orthogonal stability of mixed type additive and cubic functional equations354317610.22075/ijnaa.2015.176ENS. OstadbashiDepartment of Mathematics, Faculty of Sciences,
Urmia University, Urmia,
Iran.J. KazemzadehDepartment of Mathematics, Faculty of Sciences,
Urmia University, Urmia,
Iran.Journal Article20131210In this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form $$f(2x+y)+f(2x-y)-f(4x)=2f (x+y)+2f(x-y)-8f(2x) +10f(x)-2f(-x),$$ with $xbot y$, where $bot$ is orthogonality in the sense of <br />Ratz.https://ijnaa.semnan.ac.ir/article_176_4ffcc645bd891efc08822c984060eb5b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150305Statistical uniform convergence in $2$-normed spaces445217710.22075/ijnaa.2015.177ENF. Amouei AraniDepartment of Mathematics, Payame noor University, Tehran, Iran.M. EshaghiDepartment of Mathematics,
Semnan University, P.O.BOX35195-363, Semnan, Iran.Journal Article20130807 The concept of statistical convergence in $2$-normed spaces for double sequence was introduced in [S. Sarabadan and S. Talebi, {it Statistical convergence of double sequences in $2$-normed spaces }, Int. J. Contemp. Math. Sci. 6 (2011) 373--380]. In the first, we introduce concept strongly statistical convergence in $2$-normed spaces and generalize some results. Moreover, we define the concept of statistical uniform convergence in $2$-normed spaces and prove a basic theorem of uniform convergence in double sequences to the case of statistical convergence.https://ijnaa.semnan.ac.ir/article_177_4d1eed6de9432e4e84e6620438b88846.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150313Periodic solution for a delay nonlinear population equation with feedback control and periodic external source536117810.22075/ijnaa.2015.178ENP. NasertayoobDept. of Math., Amirkabir University of Technology (Polytechnic),
Hafez Ave., P. O. Box 15914, Tehran, Iran.S. M. VaezpourDept. of Math., Amirkabir University of Technology (Polytechnic),
Hafez Ave., P. O. Box 15914, Tehran, Iran.nullJournal Article20130805In this paper, sufficient conditions are investigated for the existence of periodic (not necessarily positive) solutions for nonlinear several time delay population system with feedback control. Nonlinear system affected by an periodic external source is studied. Existence of a control variable provides the extension of some previous results obtained in other studies. We give a illustrative example in order to indicate the validity of the assumptions.https://ijnaa.semnan.ac.ir/article_178_933622795a9724accabc2a92879c60ae.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150217On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation626817910.22075/ijnaa.2015.179ENS. MoradiDepartment of Mathematics, Faculty of Science,
Arak University, Arak, 38156-8-8349, Iran.M. Mohammadi AnjedaniDepartment of Mathematics, Faculty of Science,
Arak University, Arak, 38156-8-8349, Iran.E. AnaloeiDepartment of Mathematics, Faculty of Science,
Arak University, Arak, 38156-8-8349, Iran.Journal Article20130613In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equations and extension of this type of integral equations. The result is obtained by using the coupled fixed point theorems in the framework of Banach space $ X=C([a,b],mathbb{R})$. Finally, we give an example to illustrate the applications of our results.https://ijnaa.semnan.ac.ir/article_179_3caf831dc6329976c3a29154fb3b2013.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150308A characterization of multiwavelet packets on general lattices698419610.22075/ijnaa.2015.196ENFirdous Ahmad ShahDepartment of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, India.Journal Article20130307The objective of this paper is to establish a complete characterization of multiwavelet packets associated with matrix dilation on general lattices $Gamma$ in $mathbb R^d$ by virtue of time-frequency analysis, matrix theory and operator theory.<br /><br />https://ijnaa.semnan.ac.ir/article_196_556b35b082c222d2a19924cfae41067f.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150413Global existence, stability results and compact invariant sets for a quasilinear nonlocal wave equation on $mathbb{R}^{N}$859522010.22075/ijnaa.2015.220ENP. Papadopoulosadepartment of electronics engineering, school of technological applications, technological educational institution (tei) of piraeus, gr 11244, egaleo, athens, greeceN.L. MatiadouDepartment of Electronics Engineering, School of Technological Applications, Technological Educational Institution (TEI) of Piraeus, GR 11244, Egaleo, Athens, GreeceA. PappasCivil Engineering Department, School of Technological Applications, Technological Educational Institution (TEI) of
Piraeus, GR 11244, Egaleo, Athens, Greece.Journal Article20130807We discuss the asymptotic behaviour of solutions for the nonlocal quasilinear hyperbolic problem of Kirchhoff Type <br />[ u_{tt}-phi (x)||nabla u(t)||^{2}Delta u+delta u_{t}=|u|^{a}u,, x in mathbb{R}^{N} ,,tgeq 0;,]<br /><br />with initial conditions $u(x,0) = u_0 (x)$ and $u_t(x,0) = u_1 (x)$, in the case where $N geq 3, ; delta geq 0$ and $(phi (x))^{-1} =g (x)$ is a positive function lying in $L^{N/2}(mathbb{R}^{N})cap L^{infty}(mathbb{R}^{N})$. It is proved that, when the initial energy $ E(u_{0},u_{1})$, which corresponds to the problem, is non-negative and small, there exists a unique global solution in time in the space ${cal{X}}_{0}=:D(A) times {cal{D}}^{1,2}(mathbb{R}^{N})$. When the initial energy $E(u_{0},u_{1})$ is negative, the solution blows-up in finite time. For the proofs, a combination of the modified potential well method and the concavity method is used. Also, the existence of an absorbing set in the space ${cal{X}}_{1}=:{cal{D}}^{1,2}(mathbb{R}^{N}) times L^{2}_{g}(mathbb{R}^{N})$ is proved and that the dynamical system generated by the problem possess an invariant compact set ${cal {A}}$ in the same space.<br /><br />Finally, for the generalized dissipative Kirchhoff's String problem<br /> [ u_{tt}=-||A^{1/2}u||^{2}_{H} Au-delta Au_{t}+f(u) ,; ; x in mathbb{R}^{N}, ;; t geq 0;,]<br />with the same hypotheses as above, we study the stability of the trivial solution $uequiv 0$. It is proved that if $f'(0)>0$, then the solution is unstable for the initial Kirchhoff's system, while if $f'(0)<0$ the solution is asymptotically stable. In the critical case, where $f'(0)=0$, the stability is studied by means of the central manifold theory. To do this study we go through a transformation of variables similar to the one introduced by R. Pego.https://ijnaa.semnan.ac.ir/article_220_f07e93852128c32222dc12dc8f60cab7.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150506Remarks on some recent M. Borcut's results in partially ordered metric spaces9610422110.22075/ijnaa.2015.221ENZoran KadelburgUniversity of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Beograd, SerbiaStojan RadenovicFaculty of Mathematics and Information Technology Teacher Education, Dong
Thap University, Cao Lanch City, Dong Thap Province, Viet NamJournal Article20140809In this paper, some recent results established by Marin Borcut [M. Borcut, Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian J. Math. 28, 2 (2012), 207--214] and [M. Borcut, Tripled coincidence theorems for monotone mappings in partially ordered metric spaces, Creat. Math. Inform. 21, 2 (2012), 135--142] are generalized and improved, with much shorter proofs. Also, examples are given to support these improvements.https://ijnaa.semnan.ac.ir/article_221_623e9d0d4109857fc20da79298fbfb1f.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150323Wavelet collocation solution of non-linear Fin problem with temperature dependent thermal conductivity and heat transfer coefficient10511822210.22075/ijnaa.2015.222ENSurjan SinghDST- Centre for Interdisciplinary Mathematical Sciences Banaras Hindu University Varanasi 221005, U.P., IndiaDinesh KumarDST- Centre for Interdisciplinary Mathematical Sciences Banaras Hindu University Varanasi 221005, U.P., IndiaK. N RaiDepartment of Mathematical Science IIT BHU, Varanasi 221005, IndiaJournal Article20130810In this paper, Wavelet Collocation Method has been used to solve nonlinear fin problem with temperature dependent thermal conductivity and heat transfer coefficient. Thermal conductivity of fin materials varies any type so that we consider thermal conductivity as the general function of temperature. Here we consider three particular cases, where we assume that thermal conductivity is constant, linear and exponential function of temperature. In each case efficiency of fin is evaluated. The whole analysis is presented in dimensionless form and the effect of variability of fin parameter, exponent and thermal conductivity parameter on temperature distribution and fin efficiency is shown graphically and discussed in detail.https://ijnaa.semnan.ac.ir/article_222_ede7db625329bf887c051632ed2c9417.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150406Free and constrained equilibrium states in a variational problem on a surface11913422310.22075/ijnaa.2015.223ENPanayotis VyridisDepartment of Physics and Mathematics, National Polytechnical Institute (I.P.N.), Campus Zacatecas (U.P.I.I.Z) P. C. 098160, Zacatecas, Mexico.Journal Article20131110We study the equilibrium states for an energy functional with a parametric force field on a region of a surface. Consideration of free equilibrium states is based on Lyusternik - Schnirelman's and Skrypnik's variational methods. Consideration of equilibrium states under a constraint of geometrical character is based on an analog of Skrypnik's method, described in [P. Vyridis, {it Bifurcation in a Variational Problem on a Surface with a Constraint}, Int. J. Nonlinear Anal. Appl. 2 (1) (2011), 1-10]. In local coordinates, equilibrium points satisfy an elliptic boundary value problem.https://ijnaa.semnan.ac.ir/article_223_a1f8208d0e720dfe30bb5073ee0b5d14.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150220Approximately $n$-order linear differential equations13513922410.22075/ijnaa.2015.224ENAbbas JavadianSemnan University, P.O. Box 35195-363, Semnan, IranJournal Article20140118We prove the generalized Hyers--Ulam stability of $n$-th order linear differential equation of the form $$y^{(n)}+p_{1}(x)y^{(n-1)}+ cdots+p_{n-1}(x)y^{prime}+p_{n}(x)y=f(x),$$ with condition that there exists a non--zero solution of corresponding homogeneous equation. Our main results extend and improve the corresponding results obtained by many authors.https://ijnaa.semnan.ac.ir/article_224_a84b8807e79e99cb3fd176e47e83adbc.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150407Coupled coincidence point theorems for maps under a new invariant set in ordered cone metric spaces14015222510.22075/ijnaa.2015.225ENSushanta Kumar MohantaWest Bengal State University, Barasat, 24 Parganas(North),
Kolkata-700126, West Bengal, IndiaRima MaitraWest Bengal State University, Barasat, 24 Parganas(North),
Kolkata-700126, West Bengal, IndiaJournal Article20140614 In this paper, we prove some coupled coincidence point theorems for mappings satisfying generalized contractive conditions under a new invariant set in ordered cone metric spaces. In fact, we obtain sufficient conditions for existence of coupled coincidence points in the setting of cone metric spaces. Some examples are provided to verify the effectiveness and applicability of our results.https://ijnaa.semnan.ac.ir/article_225_21bc3a800f116b2a45aa09e7a183eba5.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150420Non-linear Bayesian prediction of generalized order statistics for liftime models15316222610.22075/ijnaa.2015.226ENZohreh KarimiDepartment of Statistics, Faculty of
Mathematics and Computer, Shahid Bahonar University of Kerman,
kerman, Iran.Mohsen MadadiDepartment of Statistics, Faculty of
Mathematics and Computer, Shahid Bahonar University of Kerman,
kerman, Iran.Mohsen RezapourDepartment of Statistics, Faculty of
Mathematics and Computer, Shahid Bahonar University of Kerman,
kerman, Iran.Journal Article20140728In this paper, we obtain Bayesian prediction intervals as well as Bayes predictive estimators under square error loss for generalized order statistics when the distribution of the underlying population belongs to a family which includes several important distributions.https://ijnaa.semnan.ac.ir/article_226_068e338ca90e599a87222ede4496fd27.pdf