Fixed points via “biased maps”-Reference-Cited by-同舟云学术

Fixed points via “biased maps”

Published:1995 Issue:7 Volume:123 Page:2049-2060
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Jungck G.,Pathak H. K.

Abstract

A generalization of compatible maps called "biased maps" is introduced and used to prove fixed point theorems for Meir-Keeler type contractions involving four maps. Extensions of known results are thereby obtained. In particular, a theorem by Kang and Rhoades is generalized.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1995-123-07/S0002-9939-1995-1283555-5/S0002-9939-1995-1283555-5.pdf

Reference16 articles.

1. Common fixed points for non-self-compatible maps on compacta;Assad, Nadim A.;Southeast Asian Bull. Math.,1992

2. Fixed point theorems for contractive type set-valued mappings;Chang, Tong Huei;Math. Japon.,1993

3. A common fixed point theorem of Meir and Keeler type;Cho, Y. J.;Internat. J. Math. Math. Sci.,1993

4. R. O. Davies and S. Sessa, A common fixed point of Gregus type, Facts Universitii (NIS) Ser. Math. Inform. 16 (1992), 51-56.

5. Compatible mappings and common fixed points;Jungck, Gerald;Internat. J. Math. Math. Sci.,1986

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