International Journal of Nonlinear Analysis and Applications

Some properties of generalized fundamentally nonexpansive mappings in Banach spaces

Document Type : Research Paper

Author

Department of Mathematics, Faculty of Basic Sciences, Bu-Ali Sina University, Hamedan, Iran

Abstract

In this paper, we introduce a condition on mappings and show that the class of these mappings is broader than both the class of mappings satisfying condition (C) and the class of fundamentally nonexpansive mappings, and it is incomparable with the class of quasi-nonexpansive mappings and the class of mappings satisfying condition (L). Furthermore, we present some convergence theorems and fixed point theorems for mappings satisfying the condition in the setting of Banach spaces. Finally, an example is given to support the usefulness of our results.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 2
November 2021
Pages 1343-1352
  • Receive Date: 12 December 2019
  • Accept Date: 28 September 2020