The Journal of the Indian Mathematical Society

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A Common Fixed Point Theorem under a Non-Lipschitzian Type Condition


Affiliations
1 Department of Mathematics-Applied Sciences and Humanities, Bipin Tripahti Kumaon Institute of Technology, Dwarahat, Almora, 262553, India
     

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The aim of this paper is to obtain a common fixed point theorem by using a non-Lipschitzian type condition and to establish a situation in which a pair of mappings may possess common fixed points as well as coincidence points which may not be common fixed points.

Keywords

Fixed Point Theorems, Conditionally Commuting Maps, G-Continuity, Tangential Maps.
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  • A Common Fixed Point Theorem under a Non-Lipschitzian Type Condition

Abstract Views: 279  |  PDF Views: 1

Authors

Ravindra K. Bisht
Department of Mathematics-Applied Sciences and Humanities, Bipin Tripahti Kumaon Institute of Technology, Dwarahat, Almora, 262553, India

Abstract


The aim of this paper is to obtain a common fixed point theorem by using a non-Lipschitzian type condition and to establish a situation in which a pair of mappings may possess common fixed points as well as coincidence points which may not be common fixed points.

Keywords


Fixed Point Theorems, Conditionally Commuting Maps, G-Continuity, Tangential Maps.