Fixed Point Theorems for Single Valued Mappings Satisfying the Ordered non-Expansive Conditions on Ultrametric and Non-Archimedean Normed Spaces

Document Type : Research Paper

Authors
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
Abstract
In this paper, some fixed point theorems for nonexpansive 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 our results.
Keywords

Volume 11, Issue 1
April 2020
Pages 1-6

  • Receive Date 03 March 2019
  • Revise Date 28 March 2019
  • Accept Date 12 June 2019

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