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Nadler’s Theorem on Incomplete Modular Space

Author

Listed:
  • Fatemeh Lael

    (Imam Khomeini International University-Buin Zahra Higher Education Center of Engineering and Technology, Qazvin 3451866391, Iran)

  • Naeem Saleem

    (Department of Mathematics, University of Management and Technology C-II, Johar Town, Lahore 54770, Pakistan)

  • Liliana Guran

    (Department of Pharmaceutical Sciences, “Vasile Goldiş” Western University of Arad, L. Rebreanu Street, No. 86, 310048 Arad, Romania)

  • Monica Felicia Bota

    (Department of Mathematics, Babeş-Bolyai University, M. Kogălniceanu Street, No. 1, 400084 Cluj-Napoca, Romania)

Abstract

This manuscript is focused on the role of convexity of the modular, and some fixed point results for contractive correspondence and single-valued mappings are presented. Further, we prove Nadler’s Theorem and some fixed point results on orthogonal modular spaces. We present an application to a particular form of integral inclusion to support our proposed version of Nadler’s theorem.

Suggested Citation

  • Fatemeh Lael & Naeem Saleem & Liliana Guran & Monica Felicia Bota, 2021. "Nadler’s Theorem on Incomplete Modular Space," Mathematics, MDPI, vol. 9(16), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1927-:d:613631
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    References listed on IDEAS

    as
    1. Parin Chaipunya & Chirasak Mongkolkeha & Wutiphol Sintunavarat & Poom Kumam, 2012. "Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, April.
    2. Parin Chaipunya & Chirasak Mongkolkeha & Wutiphol Sintunavarat & Poom Kumam, 2012. "Erratum to “Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces”," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-2, July.
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