@article {
author = {Erduran, A and Altun, I.},
title = {Fixed point theorems for weakly contractive mappings on g-Metric spaces and a homotopy result},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {3},
number = {1},
pages = {1-8},
year = {2012},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2012.33},
abstract = {In 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.},
keywords = {Fixed point,weakly contractive maps,G-metric space},
url = {https://ijnaa.semnan.ac.ir/article_33.html},
eprint = {https://ijnaa.semnan.ac.ir/article_33_5d27d2d7815f20f0b239f934a9ef2bef.pdf}
}
@article {
author = {Yatakoat, P. and Suantai, S.},
title = {Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {3},
number = {1},
pages = {9-16},
year = {2012},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2012.35},
abstract = {In 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.},
keywords = {Generalized asymptotically quasi-nonexpansive nonself-mappings,Common xed points,Weak and Strong convergence},
url = {https://ijnaa.semnan.ac.ir/article_35.html},
eprint = {https://ijnaa.semnan.ac.ir/article_35_cc8eb19482ddfa3a8c2957b6c9ae79b0.pdf}
}
@article {
author = {Rao, K. P. R. and Lakshmi, K. B. and Mustafa, Z.},
title = {A unique common fixed point theorem for six maps in g-metric spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {3},
number = {1},
pages = {17-23},
year = {2012},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2012.37},
abstract = {In this paper we obtain a unique common fixed point theorem for six weakly compatible mappings in G-metric spaces.},
keywords = {G-metric,common fixed points,Compatible mappings},
url = {https://ijnaa.semnan.ac.ir/article_37.html},
eprint = {https://ijnaa.semnan.ac.ir/article_37_3186ecfa468d8087bed847669f25a299.pdf}
}
@article {
author = {Moradi, S. and Analoei, E.},
title = {Common fixed point of generalized ($\psi$-$\varphi$)-weak contraction mappings},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {3},
number = {1},
pages = {24-30},
year = {2012},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2012.38},
abstract = {Let $(X, d)$ 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).},
keywords = {Fixed point,Coincidence point,weakly compatible},
url = {https://ijnaa.semnan.ac.ir/article_38.html},
eprint = {https://ijnaa.semnan.ac.ir/article_38_bc12a81ea379a60d40d09280eee88e42.pdf}
}
@article {
author = {Lashkaripour, R. and Fathi, J.},
title = {On the fine spectra of the Zweier matrix as an operator over the weighted sequence space $l_{p}(w)$},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {3},
number = {1},
pages = {31-39},
year = {2012},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2012.42},
abstract = {In the present paper, the fine spectrum of the Zweier matrix as an operator over the weighted sequence space $\ell_p(w)$, has been examined.},
keywords = {Spectrum of an operator,matrix mapping,Zweier matrix,weighted sequence space},
url = {https://ijnaa.semnan.ac.ir/article_42.html},
eprint = {https://ijnaa.semnan.ac.ir/article_42_da5de63049690b6304c4d6ef0a6ae203.pdf}
}
@article {
author = {Bouikhalene, B. and Rassias, J. M. and Charifi, A. and Kabbaj, S.},
title = {On the approximate solution of Hosszus functional equation},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {3},
number = {1},
pages = {40-44},
year = {2012},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2012.45},
abstract = {We show that every approximate solution of the Hosszu's functional equation$$f(x + y + xy) = f(x) + f(y) + f(xy) \ \text{for any}\ x, y\in \mathbb{R},$$is an additive function and also we investigate the Hyers-Ulam stability of this equation in the following setting$$|f(x + y + xy) - f(x) - f(y) - f(xy)|\leq\delta + \varphi(x; y)$$for any $x, y\in \mathbb{R}$ and $\delta > 0$.},
keywords = {Additive function,Hosszu's functional equation,Hyers-Ulam stability},
url = {https://ijnaa.semnan.ac.ir/article_45.html},
eprint = {https://ijnaa.semnan.ac.ir/article_45_05a87c012c6971554afb7ebdaa886d7d.pdf}
}
@article {
author = {Moazzen, A. R. and Lashkaripour, R.},
title = {Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {3},
number = {1},
pages = {45-54},
year = {2012},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2012.46},
abstract = {Let $A=(a_{n,k})_{n,k\geq1}$ 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:$$\|Ax\|_{v,B(q)}\geq L\|x\|_{v,B(p)},$$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 $L_{v,p,q,B}(A)$.},
keywords = {Lower bound,Weighted block sequence space,Hausdorff matrices,Euler matrices,Cesaro matrices,Matrix norm},
url = {https://ijnaa.semnan.ac.ir/article_46.html},
eprint = {https://ijnaa.semnan.ac.ir/article_46_a875762021951bf010efadf9db780be0.pdf}
}
@article {
author = {Daher, R. and El Hamma, M.},
title = {An analog of Titchmarsh's theorem for the Dunkl transform in the space $\mathrm{L}_{\alpha}^{2}(\mathbb{R})$},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {3},
number = {1},
pages = {55-60},
year = {2012},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2012.48},
abstract = {In 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 $\mathrm{L}_{2,\alpha}=\mathrm{L}_{\alpha}^{2}(\mathbb{R})=\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx), \alpha>\frac{-1}{2}$.},
keywords = {Dunkl operator,Dunkl transform,generalized Dunkl translation},
url = {https://ijnaa.semnan.ac.ir/article_48.html},
eprint = {https://ijnaa.semnan.ac.ir/article_48_09ab190d1ec72a1adc2dde5fead7614b.pdf}
}
@article {
author = {Ghasemi, M. and Davari, A. and Fardi, M.},
title = {Application of He's homotopy perturbation method for solving Sivashinsky equation},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {3},
number = {1},
pages = {61-67},
year = {2012},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2012.49},
abstract = {In 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.},
keywords = {Homotopy perturbation method,Sivashinsky equation},
url = {https://ijnaa.semnan.ac.ir/article_49.html},
eprint = {https://ijnaa.semnan.ac.ir/article_49_b4b149fad220932afa0071fab8ba37a5.pdf}
}
@article {
author = {Gil, M.},
title = {Coupled systems of equations with entire and polynomial functions},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {3},
number = {1},
pages = {68-73},
year = {2012},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2012.50},
abstract = {We consider the coupled system $F(x,y)=G(x,y)=0$, where$$F(x, y)=\sum_{k=0}^{m_1} A_k(y)x^{m_1-k} \quad \text{ and }\quad G(x, y)=\sum_{k=0}^{m_2} B_k(y)x^{m_2-k}$$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. },
keywords = {coupled systems,entire and polynomial functions,a priory estimates,resultant},
url = {https://ijnaa.semnan.ac.ir/article_50.html},
eprint = {https://ijnaa.semnan.ac.ir/article_50_7301f14535c96830f92b2d46fcdbf727.pdf}
}