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Bahman Moeini

Publications and source records attributed to Bahman Moeini.

5 recordsLinked to original sources
arXiv2017

Common fixed points for $C^{*}$-algebra-valued modular metric spaces via $C_{*}$-class functions with application

Based on the concept and properties of $C^{*}$-algebras, the paper introduces a concept of $C_{*}$-class functions. Then by using these functions in $C^{*}$-algebra- valued modular metric spaces of moeini et al. [14], some common fixed point theorems for self-mappings are established. Also, to support of our results an application is provided for existence and uniqueness of solution for a system of integral equations.

math.FA↗
arXiv2017

C-class functions on some fixed point results of integral type and applications

In this paper, by using C-class functions [4] for integral type of Suzuki-type mappings, some fixed point results are established on a metric space that gener- alize the results of Aleomraninejad and Shokouhnia [Adv. Fixed Point Theory, 5 (2015), No. 1, 101-109]. As an application, the existence of a continuous solution for an integral equation is obtained.

math.FA↗
arXiv2017

JH$\im$-suboperator pairs with application to invariant approximation by using C-class functions

In this paper, by using C-class functions some results and common fixed point theorems are established for generalized JH-operator pairs of Sintu- navarat and Kumam (Journal of Inequalities and Applications, 67 (2011), 10 pages, doi:10.1186/1029-242X-2011-67) . Also, a new class of non-commuting self-mappings as JH$\im$-suboperator pairs are introduced. Final, as applications, several invariant approximation results are discussed

math.FA↗
arXiv2015

Fixed point of subadditive maps and some non-linear integral equations

In this paper, first some results of [5] are extended for subadditive separating maps between C(X;E) and C(Y;E), such that E is a unital Banach algebra. Then we give some conditions under which a strongly subadditive map has a unique fixed point. Finally as an application the existence and uniqueness of solution for a nonlinear integral equation is discussed.

math.FA↗