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.