Approximation of fixed points of S−generalized asymptotically nonexpansive mappings
Fixed Point Methods and Optimization, Volume 1, Issue 1, June 2024, Pages 47–68
MMADUABUCHI P. OKEKE
Department of Mathematics, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria
ADAEZE N. OFOJEBE
Department of Mathematics, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria
STANLEY C. OKOYEH
Department of Mathematics, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria
KINGSLEY O. IBEH
Department of Mathematics, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria
ERIC U. OFOEDU
Department of Mathematics, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria
Abstract
In this paper, a new class of mapping that unifies various classes of mappings associated with the class of asymptotically nonexpansive mappings is introduced. In addition, an iterative technique for approximation of fixed points of this class of mappings is introduced and studied in the setting of uniformly convex real Banach space. Moreover, Demiclosedness principle for the class of mapping under study is proved; in addition, weak and strong convergence theorems are obtained. The theorems obtained augment, generalize, improve and unify several results that are recently announced. The method of proof used is of independent interest.
Cite this Article as
Mmaduabuchi P. Okeke, Adaeze N. Ofojebe, Stanley C. Okoyeh, Kingsley O. Ibeh and Eric U. Ofoedu, Approximation of fixed points of S−generalized asymptotically nonexpansive mappings, Fixed Point Methods and Optimization, 1 (2024), 47–68