International Journal of Nonlinear Analysis and Applications

Convergence theorems and demiclosedness principle for enriched strictly pseuocontractive mappings in real Banach spaces

Document Type : Research Paper

Authors

Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia, Abia State, Nigeria

Abstract

In this paper, some new weak and strong convergence results of the Mann and Ishikawa iterative schemes for the class of enriched strictly psuedocontractive mappings are established in the setup of q-uniformly smooth Banach spaces. Further, demiclosedness principle for this class of mappings is obtained in the aforementioned space. The results obtained in this paper extend, improve, generalise and unify several well-known results currently announced in the literature.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 6
June 2023
Pages 345-355
  • Receive Date: 13 September 2022
  • Revise Date: 17 February 2023
  • Accept Date: 15 March 2023