Fixed Point Theorems for Compatible and Non Compatible Self Maps

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Published: 2012-03-15
Keywords:
Fixed points, R - weakly commuting maps, compatible and non compatible maps, weak reciprocal continuity.

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Giniswamy
Department of Mathematics P. E. S College of Science, Arts and Commerce, Mandya, India
C. Jeyanthi
Department of Mathematics Teresian College, Siddartha Nagar, Mysore – 570011.
P. G. Maheshwari
Department of Mathematics Govt. First Grade College, Vijaya Nagar, Bangalore

Abstract

The purpose of this paper is to prove common fixed point theorems using the concept of weak reciprocal continuity for compatible and non-compatible maps in metric space. These results generalize the common fixed point theorems by Pant, Bisht and Arora1 and thereby
generalize several fixed point theorems.

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Issue

Vol. 16 No. 1 (2012): Table of Content

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Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

1.
Fixed Point Theorems for Compatible and Non Compatible Self Maps. J. Int. Acad. Phys. Sci. [Internet]. 2012 Mar. 15 [cited 2026 Oct. 23];16(1):13-26. Available from: http://www.iaps.org.in/journal/index.php/journaliaps/article/view/270