EXTENDED RESULTS OF COMMON FIXED POINTS BY USING α − ψ-GERAGHTY CONTRACTION AND APPLICATIONS

EXTENDED RESULTS OF COMMON FIXED POINTS BY USING α − ψ-GERAGHTY CONTRACTION AND APPLICATIONS

H. Afshari, H. Shojaat

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Abstract

By introducing an α − ψ-Geraghty contraction for αC-admissible pair of multi-valued operators, we get some new results of common fixed points in complexvalued double-controlled metric spaces. These new results improve and generalize some results mentioned in the literature.

Keywords

Common fixed point, multivalued mapping, double controlled metric space.