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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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An extension of multi-valued contraction mappings and fixed points
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by Cheng-Kui Zhong, Jiang Zhu and Pei-Hao Zhao PDF
Proc. Amer. Math. Soc. 128 (2000), 2439-2444 Request permission

Abstract:

A class of new multi-valued contraction mappings is presented. Under the new contractive conditions, some fixed point theorems for multi-valued self-mappings and nonself-mappings are proved.
References
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Additional Information
  • Cheng-Kui Zhong
  • Affiliation: Department of Mathematics, Lanzhou University, Lanzhou 730000, People’s Republic of China
  • Jiang Zhu
  • Affiliation: Department of Mathematics, Lanzhou University, Lanzhou 730000, People’s Republic of China
  • Address at time of publication: Department of Mathematics, Xuzhou Normal University, Xuzhou 221009, People’s Republic of China
  • Email: jiangzhu@public.xz.js.cn
  • Pei-Hao Zhao
  • Affiliation: Department of Mathematics, Lanzhou University, Lanzhou 730000, People’s Republic of China
  • Received by editor(s): December 19, 1997
  • Received by editor(s) in revised form: September 28, 1998
  • Published electronically: November 24, 1999
  • Additional Notes: This research was supprted by the National Science Foundation and Doctoral Foundation of China.
    The corresponding author is Jiang Zhu
  • Communicated by: David R. Larson
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 2439-2444
  • MSC (2000): Primary 47H10, 47H04
  • DOI: https://doi.org/10.1090/S0002-9939-99-05318-6
  • MathSciNet review: 1662238