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Common Fixed Point Theorems for Four Nonself Mappings


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1 Department of Mathematics, Aligarh Muslim University, Aligarh-202002 (U.P), India
     

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Using suitable conditions of weak commutativity we prove fixed point theorems for two pairs of nonself-mappings which generalize earlier known results due to Rhoades and Som et al. An illustrative example and application are also discussed.

Keywords

Metrically Convex Metric Space, Weak Commutativity, Compatible Mapping, R-Weak Commutativity, Complete Metric Space, Banach Space.
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  • Common Fixed Point Theorems for Four Nonself Mappings

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Authors

M. Imdad
Department of Mathematics, Aligarh Muslim University, Aligarh-202002 (U.P), India
Santosh Kumar
Department of Mathematics, Aligarh Muslim University, Aligarh-202002 (U.P), India

Abstract


Using suitable conditions of weak commutativity we prove fixed point theorems for two pairs of nonself-mappings which generalize earlier known results due to Rhoades and Som et al. An illustrative example and application are also discussed.

Keywords


Metrically Convex Metric Space, Weak Commutativity, Compatible Mapping, R-Weak Commutativity, Complete Metric Space, Banach Space.