The Journal of the Indian Mathematical Society

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Minimal Commutativity and Common Fixed Points


Affiliations
1 Department of Mathematics, Maharshi Dayanand University, Rohtak-124001, India
     

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The purpose of this paper is to prove a common fixed point theorem, from the class of compatible continuous mappings to a larger class of mappings having non-compatible and discontinuous mappings, which generalizes the result of Jungck, Fisher, Kang and Kim, Jachymski, Rhoades and Pant.

Keywords

R-Weak Commutativity, Reciprocal Continuity, Compatible Mappings.
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  • Minimal Commutativity and Common Fixed Points

Abstract Views: 226  |  PDF Views: 0

Authors

Renu Chugh
Department of Mathematics, Maharshi Dayanand University, Rohtak-124001, India
Sanjay Kumar
Department of Mathematics, Maharshi Dayanand University, Rohtak-124001, India

Abstract


The purpose of this paper is to prove a common fixed point theorem, from the class of compatible continuous mappings to a larger class of mappings having non-compatible and discontinuous mappings, which generalizes the result of Jungck, Fisher, Kang and Kim, Jachymski, Rhoades and Pant.

Keywords


R-Weak Commutativity, Reciprocal Continuity, Compatible Mappings.