Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223120120801Fixed point theorems for weakly contractive mappings on g-Metric spaces and a homotopy result183310.22075/ijnaa.2012.33ENA ErduranDepartment of Mathematics, Faculty of Science and Arts, Kirikkale Univer-
sity, 71450 Yahsihan, Kirikkale, TurkeyI. AltunDepartment of Mathematics, Faculty of Science and Arts, Kirikkale Univer-
sity, 71450 Yahsihan, Kirikkale, TurkeyJournal Article20110329In this paper, we give some fixed point theorems for $\varphi$-weak contraction type mappings on complete G-metric space, which was given by Zaed and Sims [1]. Also a homotopy result is given.https://ijnaa.semnan.ac.ir/article_33_5d27d2d7815f20f0b239f934a9ef2bef.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223120120801Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings9163510.22075/ijnaa.2012.35ENP. YatakoatDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandS. SuantaiDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandJournal Article20110130In this paper, we introduce and study a new iterative scheme to approximate a common fixed point for a finite family of generalized asymptotically quasi-nonexpansive nonself-mappings in Banach spaces. Several strong and weak convergence theorems of the proposed iteration are established. The main results obtained in this paper generalize and refine some known results in the current literature.https://ijnaa.semnan.ac.ir/article_35_cc8eb19482ddfa3a8c2957b6c9ae79b0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223120120801A unique common fixed point theorem for six maps in g-metric spaces17233710.22075/ijnaa.2012.37ENK. P. R. RaoDepartment of Applied Mathematics, Acharya Nagarjuna University-Dr. M.R.
Appa Row Campus, Nuzvid-521 201, Andhra Pradesh, IndiaK. B. LakshmiDepartment of Applied Mathematics, Acharya Nagarjuna University-Dr. M.R.
Appa Row Campus, Nuzvid-521 201, Andhra Pradesh, IndiaZ. MustafaDepartment of Mathematics, The Hashemite University, P.O. 330127, Zarqa 13115, JordanJournal Article20110304In this paper we obtain a unique common fixed point theorem for six weakly compatible mappings in G-metric spaces.https://ijnaa.semnan.ac.ir/article_37_3186ecfa468d8087bed847669f25a299.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223120120801Common fixed point of generalized ($\psi$-$\varphi$)-weak contraction mappings24303810.22075/ijnaa.2012.38ENS. MoradiDepartment 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 Article20110609Let $(X, d)$ be a complete metric space and let $f,g : X \to X$ be two mappings which satisfy a ($\psi$-$\varphi$)-weak contraction condition or generalized ($\psi$-$\varphi$)-weak contraction condition. Then $f$ and $g$ have a unique common fixed point. Our results extend previous results given by Ciric (1971), Rhoades (2001), Branciari (2002), Rhoades (2003), Abbas and Ali Khan (2009), Zhang and Song (2009) and Moradi at. el. (2011).https://ijnaa.semnan.ac.ir/article_38_bc12a81ea379a60d40d09280eee88e42.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223120120801On the fine spectra of the Zweier matrix as an operator over the weighted sequence space $l_{p}(w)$31394210.22075/ijnaa.2012.42ENR. LashkaripourDepartment of Mathematic, Faculty of Mathematics, University of Sistan and
Baluchestan, Zahedan, Iran.J. FathiDepartment of Mathematic, Faculty of Mathematics, University of Sistan and
Baluchestan, Zahedan, Iran.Journal Article20110213In the present paper, the fine spectrum of the Zweier matrix as an operator over the weighted sequence space $\ell_p(w)$, has been examined.https://ijnaa.semnan.ac.ir/article_42_da5de63049690b6304c4d6ef0a6ae203.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223120120801On the approximate solution of Hosszus functional equation40444510.22075/ijnaa.2012.45ENB. BouikhaleneLaboratory LIRST, Polydisciplinary Faculty, Departement of Mathematics,
University Sultan Moulay Slimane, Beni-Mellal MoroccoJ. M. RassiasNational and Capodistrian University of Athens, Section of Mathematics and
Informatics, 4, Agamemnonos Str., Aghia Paraskevi, Athens 15342, GreeceA. CharifiFaculty of sciences, Departement of Mathematics, University of Ibn Tofail,
Kenitra, MoroccoS. KabbajFaculty of sciences, Departement of Mathematics, University of Ibn Tofail,
Kenitra, MoroccoJournal Article20110910We show that every approximate solution of the Hosszu's functional equation<br />$$f(x + y + xy) = f(x) + f(y) + f(xy) \ \text{for any}\ x, y\in \mathbb{R},$$<br />is an additive function and also we investigate the Hyers-Ulam stability of this equation in the following setting<br />$$|f(x + y + xy) - f(x) - f(y) - f(xy)|\leq\delta + \varphi(x; y)$$<br />for any $x, y\in \mathbb{R}$ and $\delta > 0$.https://ijnaa.semnan.ac.ir/article_45_05a87c012c6971554afb7ebdaa886d7d.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223120120801Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm45544610.22075/ijnaa.2012.46ENA. R. MoazzenDept. of Math.,University of Sistan and Baluchestan , Zahedan, Iran.R. LashkaripourDept. of Math.,University of Sistan and Baluchestan , Zahedan, Iran.Journal Article20110121Let $A=(a_{n,k})_{n,k\geq1}$ and $B=(b_{n,k})_{n,k\geq1}$ be two non-negative matrices. Denote by $L_{v,p,q,B}(A)$, the supremum of those $L$, satisfying the following inequality:<br />$$\|Ax\|_{v,B(q)}\geq L\|x\|_{v,B(p)},$$<br />where $x\geq 0$ and $x \in l_p(v,B)$ and also$v = (v_n)_{n=1}^\infty$ is an increasing, non-negative sequence of real numbers. In this paper, we obtain a Hardy-type formula for $L_{v,p,q,B}(H_\mu)$, where $H_\mu$ is the Hausdorff matrix and $0 < q \leq p \leq1$. Also for the case $p = 1$, we obtain $\|Ax\|_{v,B(1)}$, and for the case $p\geq 1$, we obtain $L_{v,p,q,B}(A)$.https://ijnaa.semnan.ac.ir/article_46_a875762021951bf010efadf9db780be0.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223120120801An analog of Titchmarsh's theorem for the Dunkl transform in the space $\mathrm{L}_{\alpha}^{2}(\mathbb{R})$55604810.22075/ijnaa.2012.48ENR. DaherDepartment of Mathematics, Faculty of Science Ain Chick, University Hassan II, Casablanca, MoroccoM. El HammaDepartment of Mathematics, Faculty of Science Ain Chick, University Hassan II, Casablanca, MoroccoJournal Article20120114In this paper, using a generalized Dunkl translation operator, we obtain an analog of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the Lipschitz-Dunkl condition in $\mathrm{L}_{2,\alpha}=\mathrm{L}_{\alpha}^{2}(\mathbb{R})=\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx), \alpha>\frac{-1}{2}$.https://ijnaa.semnan.ac.ir/article_48_09ab190d1ec72a1adc2dde5fead7614b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223120120101Application of He's homotopy perturbation method for solving Sivashinsky equation61674910.22075/ijnaa.2012.49ENM. GhasemiDepartment of Applied Mathematics,
Faculty of Science, Shahrekord University, Shahrekord, P. O. Box
115, Iran.A. DavariDepartment of Mathematics, University of Isfahan,
Isfahan, Iran.M. FardiDepartment of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran.Journal Article20110517In this paper, the solution of the evolutionary fourth-order in space, Sivashinsky equation is obtained by means of homotopy perturbation method (textbf{HPM}). The results reveal that the method is very effective, convenient and quite accurate to systems of nonlinear partial differential equations.https://ijnaa.semnan.ac.ir/article_49_73f4501f4f44a2f6a94731f24dc89204.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68223120120801Coupled systems of equations with entire and polynomial functions68735010.22075/ijnaa.2012.50ENM. GilDepartment of Mathematics,
Ben Gurion University of the NegevJournal Article20110107We consider the coupled system $F(x,y)=G(x,y)=0$, where<br />$$<br />F(x, y)=\sum_{k=0}^{m_1} A_k(y)x^{m_1-k} \quad \text{ and }\quad G(x, y)=\sum_{k=0}^{m_2} B_k(y)x^{m_2-k}<br />$$<br />with entire functions $A_k(y), B_k(y)$. We derive a priory estimate for the sums of the roots of the considered system and for the counting function of roots. https://ijnaa.semnan.ac.ir/article_50_83572860bd97d3b8e406d7307cfde65b.pdf