@article {
author = {Morales, J. R. and Rojas, E. M.},
title = {Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {2},
pages = {1-6},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.47},
abstract = {In this paper, we are going to study the Hyers-Ulam-Rassias types of stability for nonlinear, nonhomogeneous Volterra integral equations with delay on finite intervals.},
keywords = {Hyers,Ulam,Rassias stability},
url = {https://ijnaa.semnan.ac.ir/article_47.html},
eprint = {https://ijnaa.semnan.ac.ir/article_47_7fd8f693b5d94a2551e2b82f27c91bf7.pdf}
}
@article {
author = {Razani, A. and Yazdi, M.},
title = {Two common fixed Point theorems for compatible mappings},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {2},
pages = {7-18},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.52},
abstract = {Recently, Zhang and Song [Q. Zhang, Y. Song, Fixed point theory for generalized $varphi$-weak contractions, Appl. Math. Lett. 22(2009) 75-78] proved a common fixed point theorem for two maps satisfying generalized $\varphi$-weak contractions. In this paper, we prove a common fixed point theorem for a family of compatible maps. In fact, a new generalization of Zhang and Song's theorem is given.},
keywords = {Common fixed point,Compatible mappings,weakly compatible mappings,$varphi$-weak contraction,Complete metric space},
url = {https://ijnaa.semnan.ac.ir/article_52.html},
eprint = {https://ijnaa.semnan.ac.ir/article_52_df6e4b461764631205c5fc39343adf56.pdf}
}
@article {
author = {Dahmani, Z.},
title = {New inequalities for a class of differentiable functions},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {2},
pages = {19-23},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.89},
abstract = {In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities related to Chebyshev's functional in the case of two differentiable functions.},
keywords = {Chebyshev's functional,Differentiable function,Integral inequalities,Riemann-Liouville fractional integral},
url = {https://ijnaa.semnan.ac.ir/article_89.html},
eprint = {https://ijnaa.semnan.ac.ir/article_89_5b6298d52740d7db0485f5512b6c49dd.pdf}
}
@article {
author = {Kent, C. M. and Kosmala, W.},
title = {On the nature of solutions of the difference equation $\mathbf{x_{n+1}=x_{n}x_{n-3}-1}$},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {2},
pages = {24-43},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.91},
abstract = {We investigate the long-term behavior of solutions of the difference equation$$x_{n+1}=x_{n}x_{n-3}-1, n=0,1, \ldots $$where the initial conditions $x_{-3} ,, x_{-2} ,, x_{-1} ,, x_{0}$ are real numbers. In particular, we look at the periodicity and asymptotic periodicity of solutions, as well as the existence of unbounded solutions.},
keywords = {Difference equations,boundedness,periodicity,Asymptotic periodicity,Eventual periodicity,Invariant interval,Continued fractions},
url = {https://ijnaa.semnan.ac.ir/article_91.html},
eprint = {https://ijnaa.semnan.ac.ir/article_91_6887491e117b8ae9d1a60123865da966.pdf}
}
@article {
author = {Alimohammady, M. and Sadeghi, A.},
title = {On the fixed point of order 2},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {2},
pages = {44-50},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.92},
abstract = {This paper deals with a new type of fixed point, i.e; "fixed point of order 2" which is introduced in a metric space and some results are achieved.},
keywords = {Common fixed point,Fixed point,non-expansive map,contractive map},
url = {https://ijnaa.semnan.ac.ir/article_92.html},
eprint = {https://ijnaa.semnan.ac.ir/article_92_f2ee30bea7399e73de67fec6f2b17bca.pdf}
}
@article {
author = {Singthong, U. and Suntai, S.},
title = {Equilibrium problems and fixed point problems for nonspreading-type mappings in hilbert space},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {2},
pages = {51-61},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.94},
abstract = {In this paper by using the idea of mean convergence, we introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the fixed points set of a nonspreading-type mappings in Hilbert space. A strong convergence theorem of the proposed iterative scheme is established under some control conditions. The main result of this paper extend the results obtained by Osilike and Isiogugu (Nonlinear Analysis 74 (2011) 1814-1822) and Kurokawa and Takahashi (Nonlinear Analysis 73 (2010) 1562-1568). We also give an example and numerical results arealso given.},
keywords = {$k$-strictly pseudononspreading mappings,nonspreading mappings,fixed points,strong convergence,equilibrium problem,Hilbert spaces},
url = {https://ijnaa.semnan.ac.ir/article_94.html},
eprint = {https://ijnaa.semnan.ac.ir/article_94_7de5ce5a173b8d14a8554699ab8c911f.pdf}
}
@article {
author = {Krasniqi, X. Z.},
title = {On absolute generalized Norlund summability of double orthogonal series},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {2},
pages = {62-74},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2010.96},
abstract = {In the paper [Y. Okuyama, On the absolute generalized Norlund summability of orthogonal series, Tamkang J. Math. Vol. 33, No. 2, (2002), 161-165] the author has found some sufficient conditions under which an orthogonal series is summable $|N,p,q|$ almost everywhere. These conditions are expressed in terms of coefficients of the series. It is the purpose of this paper to extend this result to double absolute summability $|N^{(2)},\mathfrak{p},\mathfrak{q}|_k$, $(1\leq k\leq 2)$.},
keywords = {Double orthogonal series,Double Norlund summability},
url = {https://ijnaa.semnan.ac.ir/article_96.html},
eprint = {https://ijnaa.semnan.ac.ir/article_96_ce6901634dfc9861e8522cb54eb1520f.pdf}
}
@article {
author = {Alimohammady, M. and Koozehgar Kallegi, M.},
title = {A Class of nonlinear $(A,\eta)$-monotone operator inclusion problems with iterative algorithm and fixed point theory},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {2},
pages = {75-85},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.99},
abstract = {A new class of nonlinear set-valued variational inclusions involving $(A,\eta)$-monotone mappings in a Banach space setting is introduced and then based on the generalized resolvent operator technique associated with $(A,\eta)$-monotonicity, the existence and approximation solvability of solutions using an iterative algorithm and fixed point theory is investigated.},
keywords = {$(A, \eta)$-monotonicity,$delta$-Lipschitz,$(H,\eta)$-monotone operator},
url = {https://ijnaa.semnan.ac.ir/article_99.html},
eprint = {https://ijnaa.semnan.ac.ir/article_99_700c2ca46f47a5614a8b1fa0eb72426b.pdf}
}
@article {
author = {Dutta, R.K.},
title = {Further growth of iterated entire functions in terms of its maximum term},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {2},
pages = {86-91},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.102},
abstract = {In this article we consider relative iteration of entire functions and study comparative growth of the maximum term of iterated entire functions with that of the maximum term of the related functions.},
keywords = {Entire functions,maximum term,Maximum modulus,Iteration,Order,Lower order},
url = {https://ijnaa.semnan.ac.ir/article_102.html},
eprint = {https://ijnaa.semnan.ac.ir/article_102_a93fda21b7a1387fab1e17fce4ce82fe.pdf}
}
@article {
author = {Azadi Kenary, H.},
title = {Non-Archimedean stability of Cauchy-Jensen Type functional equation},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {2},
pages = {92-102},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.104},
abstract = {In this paper we investigate the generalized Hyers-Ulam stability of the following Cauchy-Jensen type functional equation$$Q(\frac{x+y}{2}+z)+Q(\frac{x+z}{2}+y)+Q(\frac{z+y}{2}+x) =2[Q(x)+Q(y)+Q(z)]$$ in non-Archimedean spaces.},
keywords = {generalized Hyers-Ulam stability,Non-Archimedean spaces,Fixed point method},
url = {https://ijnaa.semnan.ac.ir/article_104.html},
eprint = {https://ijnaa.semnan.ac.ir/article_104_2ed6c80666d79b4fbb85860b2e472e3b.pdf}
}
@article {
author = {Esi, A.},
title = {Strongly $[V_{2}, \lambda_{2}, M, p]-$ summable double sequence spaces defined by orlicz function},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {2},
pages = {103-108},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.105},
abstract = {In this paper, we introduce strongly $[ V_{2},\lambda_{2},M,p]-$summable double sequence spaces via Orlicz function and examine some properties of the resulting these spaces. Also, we give natural relationship between these spaces and $S_{\lambda_{2}}-$statistical convergence.},
keywords = {P-convergent,double statistical convergence,Orlicz function},
url = {https://ijnaa.semnan.ac.ir/article_105.html},
eprint = {https://ijnaa.semnan.ac.ir/article_105_2a1aff4726f50b3aeec83d7e677edc29.pdf}
}
@article {
author = {Zireh, A.},
title = {Maximum modulus of derivatives of a polynomial},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {2},
pages = {109-113},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.106},
abstract = {For an arbitrary entire function $f(z)$, let $M(f,R) = \max_{|z|=R} |f(z)|$ and $m(f, r) =\min_{|z|=r} |f(z)|$. If $P(z)$ is a polynomial of degree $n$ having no zeros in $|z| < k, k \geq 1$, then for $0 \leq r \leq\rho\leq k$, it is proved by Aziz et al. that$$M(P',\rho)\leq\frac{n}{\rho+k}\{(\frac{\rho+k}{r+k})^n[1-\frac{(k-\rho)(n|a_0|-k|a_1|)n}{(\rho^2+k^2)n|a_0|+2k^2\rho |a_1|}(\frac{\rho-r}{k+r})(\frac{k+1}{k+\rho})^{n-1}]M(P,r)$$$$-[\frac{(n|a_0|\rho+k^2|a_1|)(r+k)}{(\rho^2+k^2)n|a_0|+2k^2\rho|a_1|}\times[((\frac{\rho+k}{r+k})^n-1)-n(\rho-r)]]m(P,k)\}$$In this paper, we obtain a refinement of the above inequality. Moreover, we obtaina generalization of above inequality for $M(P', R)$, where $R\geq k$.},
keywords = {Polynomial,inequality,Maximum modulus,Restricted Zeros},
url = {https://ijnaa.semnan.ac.ir/article_106.html},
eprint = {https://ijnaa.semnan.ac.ir/article_106_66c2451d8e6ad71dad8a4cddbb00cbeb.pdf}
}