A Common Fixed Point Theorem for Occasionally Weakly Compatible Mappings

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Published: Mar 15, 2012
Keywords:
Fixed point theorems, occasionally weakly compatible, nonexpansive mappings

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R. U. Joshi
Department of Mathematics, D. S. B. Campus, Kumaun University, Nainital-263002, India
Jay Singh
Department of Mathematics D. S. B. Campus, Kumaun University, Nainital-263002, India
Ravindra K. Bisht
Department of Mathematics-Applied Sciences & Humanities B. T. K. Institute of Technology, Dwarahat-262553, Almora, India

Abstract

In the present paper, we show that contractive conditions induced by implicit functions do not provide a nontrivial setting for the application of the concept of occasionally weakly compatible mapping. Further, for obtaining proper applications of occasional weak compatibility we replace contractive conditions by more general conditions that may hold for mappings satisfying contractive as well as
nonexpansive and Lipschitz type conditions.

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How to Cite
1.
R. U. Joshi, Jay Singh, Ravindra K. Bisht. A Common Fixed Point Theorem for Occasionally Weakly Compatible Mappings. J. Int. Acad. Phys. Sci. [Internet]. 2012 Mar. 15 [cited 2024 May 16];16(1):7-11. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/235
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Vol. 16 No. 1 (2012): Table of Content
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