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New Fixed Point Results via a Graph Structure

Author

Listed:
  • Özlem Acar

    (Department of Mathematics, Faculty of Science, Selçuk University, Selçuklu, 42003 Konya, Turkey)

  • Hassen Aydi

    (Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, 4000 H. Sousse, Tunisia
    China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa P.O. Box 60, South Africa)

  • Manuel De la Sen

    (Institute of Research and Development of Processes, University of Basque Country, Campus of Leioa (Bizkaia)—Aptdo, 644—Bilbao, 48080 Bilbao, Spain)

Abstract

The main aim of this paper is to introduce and study some fixed point results for rational multivalued G -contraction and F -Khan-type multivalued contraction mappings on a metric space with a graph. At the end, we give an illustrative example.

Suggested Citation

  • Özlem Acar & Hassen Aydi & Manuel De la Sen, 2021. "New Fixed Point Results via a Graph Structure," Mathematics, MDPI, vol. 9(9), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:9:p:1013-:d:546392
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    References listed on IDEAS

    as
    1. Federico Echenique, 2005. "A short and constructive proof of Tarski’s fixed-point theorem," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(2), pages 215-218, June.
    2. Pradip Patle & Deepesh Patel & Hassen Aydi & Stojan Radenović, 2019. "ON H + Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces," Mathematics, MDPI, vol. 7(2), pages 1-16, February.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Mustafa Mudhesh & Aftab Hussain & Muhammad Arshad & Hamed Alsulami, 2023. "A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application," Mathematics, MDPI, vol. 11(20), pages 1-18, October.

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