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A Discussion on Random Meir-Keeler Contractions

Author

Listed:
  • Cheng-Yen Li

    (Institute for Computational and Modeling Science, National Tsing Hua University, 521 Nan-Dah Road, Hsinchu City 30013, Taiwan)

  • Erdal Karapınar

    (Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics, Çankaya University, 06790 Etimesgut, Ankara, Turkey)

  • Chi-Ming Chen

    (Institute for Computational and Modeling Science, National Tsing Hua University, 521 Nan-Dah Road, Hsinchu City 30013, Taiwan)

Abstract

The aim of this paper is to enrich random fixed point theory, which is one of the cornerstones of probabilistic functional analysis. In this paper, we introduce the notions of random, comparable MT- γ contraction and random, comparable Meir-Keeler contraction in the framework of complete random metric spaces. We investigate the existence of a random fixed point for these contractions. We express illustrative examples to support the presented results.

Suggested Citation

  • Cheng-Yen Li & Erdal Karapınar & Chi-Ming Chen, 2020. "A Discussion on Random Meir-Keeler Contractions," Mathematics, MDPI, vol. 8(2), pages 1-10, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:245-:d:320496
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    References listed on IDEAS

    as
    1. Ing-Jer Lin & Chi-Ming Chen & Erdal Karapınar, 2014. "Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, July.
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