SOME FIXED POINT THEOREMS UNDER CONTRACTION CONDITIONS USING LINEAR AND RATIONAL EXPRESSION IN DISLOCATED METRIC SPACE

SOME FIXED POINT THEOREMS UNDER CONTRACTION CONDITIONS USING LINEAR AND RATIONAL EXPRESSION IN DISLOCATED METRIC SPACE

N. Mittal, P. Kumar, Z. K. Ansari

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Abstract

In this paper, we have established some  xed point results in dislocated metric space. These results are proved for di erent types of contraction conditions using linear and rational expression for single as well as for pair of mappings which generalize some of the well known  xed point results of the literature available in  xed point theory. For pair of mappings we have established common  xed point result. Suitable examples for established results are also given. Few more related results are derived in the end.

Keywords

Fixed Point, Complete Metric Space, Dislocated Metric Space, Convergent Sequence, Contraction Mapping.