Esra Yolacan

Strong convergence theorems for two total asymptotically nonexpansive nonself mappings in Banach spaces

In this paper, we define and study the convergence theorems of a new two-steps iterative scheme for two total asymptotically nonexpansive nonself-mappings in Banach spaces. The results of this paper can be viewed as an improvement and extension of the corresponding results of (Shahzad in Nonlinear Anal. 61:1031-1039, 2005; Thianwan in Thai J. Math. 6:27-38, 2008; Ozdemir et al. in Discrete Dyn. Nat. Soc. 2010:307245, 2010) and all the others.MSC:47H09, 47H10, 46B20.

Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application

Abstract The purpose of this paper is to present some existence results for coupled fixed point of a (φ,ψ) —contractive condition for mixed monotone operators in metric spaces endowed with a directed graph. Our results generalize the results obtained by Jain et al. in (International Journal of Analysis, Volume 2014, Article ID 586096, 9 pages). Moreover, we have an application to some integral system to support the results.

A note on “Implicit iterative process with errors”

In this paper, I introduce an implicit iterative process with mixed errors for two finite family of total asymptotically nonexpansive mappings in a uniformly convex Banach space and prove strong convergence theorems under some conditions. My results improved and extended many know results existing in the literature.

Some extensions for generalized (ϕ,ψ)-almost contractions

In this paper, we derive a new fixed point results in partially ordered b-metric-like spaces. Our results generalize and extend several well-known comparable results in the literature. Further, two examples are also given to show that our results are influential. c ©2016 All rights reserved.