It is defined a class of generalized nonexpansive mappings, which properly contains those by Suzuki in 2008, and that preserves some its fixed point results.

In this article, we introduce the class of enriched Suzuki nonexpansive (ESN) mappings. We show that new mappings properly contains as well establish existence fixed point and convergence in a Hilbert space setting under Krasnoselskii iteration process. One our main results is applied to solve split feasibility problem (SFP) Our are significant improvement corresponding literature.

*Correspondence: [email protected] 1Department of Mathematics, National University of Computer and Emerging Sciences, Lahore, Pakistan Full list of author information is available at the end of the article Abstract The aim of this paper is to introduce a class of multivalued mappings satisfying a Suzuki type generalized contractive condition in the framework of fuzzy metric spaces and to ...

In this paper, an efficient new iterative method for approximating the fixed point of Suzuki mappings is proposed. Some important weak and strong convergence results proposed are established in setting Banach space. An example illustrates theoretical outcome.

By principal motivation from the results of new iterative scheme that produces faster than K-iteration. In this article, we study generalized by a iteration to approximate fixed points contraction and Suzuki non-expansive mappings. We establish strong convergence mappings closed convex Banach space also deduce data dependent results. Furthermore, prove some weak theorems in sense mapping applyi...

In this article, we considered the class of generalized α , β -nonexpansive (GABN) mappings that properly includes all nonexpansive, Suzuki nonexpansive (SN), id="M2"> (GAN), and Reich–Suzuki (RSN) mappings. We used iterative scheme J...