International Journal of Nonlinear Analysis and Applications

Fixed point theorems for single valued mappings satisfying the ordered nonexpansive conditions on ultrametric and non-Archimedean normed spaces

Document Type : Research Paper

Authors

K. N. Toosi University of Technology

Abstract

‎In this paper‎, ‎some fixed point theorems for non-expansive mappings in partially ordered spherically complete ultrametric spaces are proved‎. ‎In addition‎, ‎we investigate the existence of fixed points for nonexpansive mappings in partially ordered non-Archimedean normed spaces‎. ‎Finally‎, ‎we give some examples to discuss the assumptions and support of these theorems.‎

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 1
May 2021
Pages 735-740
  • Receive Date: 07 January 2015
  • Revise Date: 13 December 2019
  • Accept Date: 09 March 2020