Nadler’s Theorem on Incomplete Modular Space

Fatemeh Lael, Naeem Saleem, Liliana Guran and Monica Felicia Bota
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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
Monica Felicia Bota: Department of Mathematics, Babeş-Bolyai University, M. Kogălniceanu Street, No. 1, 400084 Cluj-Napoca, Romania

Mathematics, 2021, vol. 9, issue 16, 1-12

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.

Keywords: fixed points; incomplete modular space; Nadler’s fixed point theorem; integral inclusion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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