Research Article

Partially nonexpansive mappings

Volume: 6 Number: 4 December 30, 2022
EN

Partially nonexpansive mappings

Abstract

It is defined a class of generalized nonexpansive mappings, which properly contains those defined by Suzuki in 2008, and that preserves some of its fixed point results.

Keywords

References

  1. [1] S. Dhompongsa, N. Nanan, Fixed Point Theorems by Ways of Ultra-Asymptotic Centers, Abstract Appl. Anal. (2011), Article ID 826851, 21 pages.
  2. [2] GarcíJ. a-Falset, E. Llorens-Fuster, T. Suzuki, Fixed point theory for a class of generalized nonexpansive mappings, J. Math. Anal. Appl. 375 (2011) 185-195.
  3. [3] K. Goebel, W.A. Kirk, Iteration processes for nonexpansive mappings, Contemp. Math. 21 (1983) 115-123.
  4. [4] E. Llorens-Fuster, E. Moreno-Gálvez, The Fixed Point Theory for some generalized nonexpansive mappings, Abstract Appl. Anal. Volume 2011 (2011), Article ID 435686.
  5. [5] B.E. Rhoades, A Comparison of Various De?nitions of Contractive Mappings, Trans. Amer. Math. Soc. 226 (1977), 257- 290.
  6. [6] T. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl., 340 (2008), 1088-1095.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 30, 2022

Submission Date

June 7, 2022

Acceptance Date

October 9, 2022

Published in Issue

Year 2022 Volume: 6 Number: 4

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