Fixed point of multivalued ρ−contractive mappings and their comparison in modular function spaces

  • H. Akewe Department of Mathematics, University of Lagos, Lagos, Nigeria.
  • A. A. Mogbademu Department of Mathematics, University of Lagos, Lagos, Nigeria
  • H. O. Olaoluwa Department of Mathematics, University of Lagos, Lagos, Nigeria
Keywords: comparison, fixed point, modular function spaces, multivalued ρ−contractve mappings

Abstract

This paper presents a comprehensive survey on some multivalued ρ−contractive type mappings in the framework of modular function spaces, in which case, existence of fixed points are proved and the various ρ−contractive type mappings considered are compared in the framwork of modular function spaces. Our results complement the results obtained on normed and metric spaces in literature. Also, our method of proof serves as a guide to obtain several similar improved results for nonexpansive, pseudo-contractive and accretive type mappings.

Published
2023-10-24
How to Cite
Akewe, H., Mogbademu, A. A., & Olaoluwa, H. O. (2023). Fixed point of multivalued ρ−contractive mappings and their comparison in modular function spaces. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 9(2), 23 - 43. Retrieved from http://ijmso.unilag.edu.ng/article/view/1957
Issue
Vol 9 No 2 (2023)
Section
Articles

Copyright (c) 2023 H. Akewe, A. A. Mogbademu, H. O. Olaoluwa

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This work is licensed under a Creative Commons Attribution 4.0 International License.

This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, adaptation, and reproduction in any medium, provided that the original work is properly cited.