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

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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 \(F_{G}\)-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.

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Authors and Affiliations

  1. Department of Mathematics Faculty of Science and Arts, Mersin University, 33343, Yenişehir, Mersin, Turkey

    Özlem Acar

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  1. Özlem Acar
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Correspondence to Özlem Acar.

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Acar, Ö. Rational Type Multivalued \(\varvec{F}_{\varvec{G}}\)-Contractive Mappings with a Graph . Results Math 73, 52 (2018). https://doi.org/10.1007/s00025-018-0813-x

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  • DOI: https://doi.org/10.1007/s00025-018-0813-x

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