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A Fixed Point Theorem for multivalued almost \({\varvec{F}}_{\varvec{\delta }}\)-contraction

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Abstract

The present paper is concerning with fixed point theorem for multivalued mappings with \(\delta \)-distance using Wardowski’s technique on complete metric space. Considering the \(\delta \)-distance, we prove the existence of fixed point of the mapping \(T:X\rightarrow B(X)\) which is a multivalued almost \(F_{\delta }\)-contraction, if (X, d) is a complete metric space. The effectiveness of the obtained result is also presented with an illustrative example.

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Authors and Affiliations

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

    Özlem Acar

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  1. Özlem Acar
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Acar, Ö. A Fixed Point Theorem for multivalued almost \({\varvec{F}}_{\varvec{\delta }}\)-contraction. Results Math 72, 1545–1553 (2017). https://doi.org/10.1007/s00025-017-0705-5

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  • DOI: https://doi.org/10.1007/s00025-017-0705-5

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