Please use this identifier to cite or link to this item:
http://localhost:8080/xmlui/handle/123456789/301
Title: | SOME FIXED POINTS PROPERTIES, STRONG AND ∆-CONVERGENCE RESULTS FOR GENERALIZED α-NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES |
Authors: | Mebawondu, A. A Izuchukwu, C |
Keywords: | generalized α-nonexpansive mappings; α-nonexpansive mappings; hyperbolic spaces; strong and 4-convergence theorems; Picard normal S-iteration |
Issue Date: | 2018 |
Publisher: | Adv. Fixed Point Theory |
Citation: | Mebawondu, A. A & Izuchukwu, C (2018). SOME FIXED POINTS PROPERTIES, STRONG AND ∆-CONVERGENCE RESULTS FOR GENERALIZED α-NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES. Available online at http://scik.org Adv. Fixed Point Theory, 8 (2018), No. 1, 1-20 https://doi.org/10.28919/afpt/3415 |
Series/Report no.: | 8;1 |
Abstract: | In this paper, we introduce and study some fixed points properties and demiclosedness principle for generalized α-nonexpansive mappings in the frame work of uniformly convex hyperbolic spaces. We further establish strong and ∆-convergence theorems for Picard Normal S-iteration scheme generated by a generalized α-nonexpansive mapping in the frame work of uniformly convex hyperbolic spaces. The results obtained in this paper extend and generalize corresponding results in uniformly convex Banach spaces and many other results in this direction. |
URI: | http://localhost:8080/xmlui/handle/123456789/301 |
Appears in Collections: | Mathematics |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.