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Generalized Strict Contractive Conditions and Common Fixed Points
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This paper is intended to obtain a common fixed point the- orem for a pair of self mappings satisfying a Lipschitz type analogue of strict contractive condition by using a relatively new notion of condi- tional reciprocal continuity wherein we never require conditions on the completeness of the space, noncompatibility or property (E.A.), continu- ity of any mapping and completeness ( or closedness) of the range of any one of the involved mappings.
Keywords
Fixed Point Theorems, Conditional Reciprocal Continuity, (E.A.) Property, R-Weakly Commuting Mappings and Reciprocal Continuity.
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