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Rational Type Multivalued $$\varvec{F}_{\varvec{G}}$$FG-Contractive Mappings with a Graph

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In the present study we aim to present new fixed point results for multivalued maps on a metric space. To do this, we define a new type contraction, that is,… Click to show full abstract

In the present study we aim to present new fixed point results for multivalued maps on a metric space. To do this, we define a new type contraction, that is, rational type multivalued $$F_{G}$$FG-contraction, on a metric space endowed with a graph. Using the proposed contraction, we prove new fixed point results. At the end, we give an illustrative example, which shows the importance of graph on the contractive condition.

Keywords: varvec varvec; varvec contractive; type multivalued; rational type; multivalued varvec

Journal Title: Results in Mathematics
Year Published: 2018

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