GENERALIZED -GERAGHTY MULTIVALUED MAPPINGS ON b-METRIC SPACES ENDOWED WITH A GRAPH

Year 2017, Volume: 7 Issue: 2, 248 - 260, 01.12.2017

H. Afshari M. Atapour H. Aydi

Abstract

In this paper, we provide some conditions for the existence of a coincidence point of single-valued and multivalued mappings involving generalized  -Geraghty contractions endowed with a graph. Our main results improve the existing results in the corresponding literature. We also present examples to support the obtained results.

Keywords

b-metric space, generalized α−ψ-Geraghty multivalued mappings, coincidence point.

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