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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A fixed point theorem for monotone asymptotically nonexpansive mappings
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by Monther Rashed Alfuraidan and Mohamed Amine Khamsi PDF
Proc. Amer. Math. Soc. 146 (2018), 2451-2456 Request permission


Let $C$ be a nonempty, bounded, closed, and convex subset of a Banach space $X$ and $T: C \rightarrow C$ be a monotone asymptotically nonexpansive mapping. In this paper, we investigate the existence of fixed points of $T$. In particular, we establish an analogue to the original Goebel and Kirk’s fixed point theorem for asymptotically nonexpansive mappings.
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Additional Information
  • Monther Rashed Alfuraidan
  • Affiliation: Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
  • MR Author ID: 795781
  • ORCID: 0000-0002-3641-290X
  • Email:
  • Mohamed Amine Khamsi
  • Affiliation: Department of Mathematical Sciences, University of Texas at El Paso, El Paso, Texas 79968
  • MR Author ID: 100900
  • ORCID: 0000-0001-6787-7032
  • Email:
  • Received by editor(s): June 20, 2016
  • Received by editor(s) in revised form: July 15, 2016
  • Published electronically: February 28, 2018
  • Communicated by: Mourad Ismail
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 2451-2456
  • MSC (2010): Primary 46B20, 45D05; Secondary 47E10, 34A12
  • DOI:
  • MathSciNet review: 3778148