Some Fixed Point Results for Monotone Multivalued and Integral Type Contractive Mappings

Authors

  • Samina Batul Capital University of Science and Technology, Islamabad, Pakistan
  • Haitham Ali Qawaqneh Al-Zaytoonah University of Jordan (ZUJ), Jordan. https://orcid.org/0000-0002-5495-1763
  • Arbab Sikandar Capital University of Science and Technology, Islamabad, Pakistan
  • Usman Shehzad Capital University of Science and Technology, Islamabad, Pakistan.
  • Hassen Aydi Universit\'e de Sousse, Institut Sup\'erieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia.

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6705

Keywords:

Metric space (MS), upper semi-continuous (USC), lower semi-continuous (LSC), fixed point (FP), partially ordered (PO), multivalued mapping (MM)

Abstract

This study focuses on establishing fixed point results for monotone multivalued mappings within the framework of partially ordered complete $\mathfrak{D}^\star_b$-metric spaces. The partial order on the set $(\mathcal{W}, \preccurlyeq)$ is defined through a functional pair $(\kappa, \Theta)$. The research further explores conditions under which coupled fixed points exist and are unique, particularly for mappings that meet certain contractive requirements. These investigations are carried out using the notion of integral-type contractions tailored to the structure of partially ordered $\mathfrak{D}^\star_b$-metric spaces. In addition to the core results, several corollaries are derived as specific instances. To enhance the reliability and relevance of the findings, the paper includes a number of illustrative examples.

Downloads

Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Samina Batul, Haitham Ali Qawaqneh, Arbab Sikandar, Usman Shehzad, Hassen Aydi

Creative Commons License

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

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Some Fixed Point Results for Monotone Multivalued and Integral Type Contractive Mappings. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6705. https://doi.org/10.29020/nybg.ejpam.v18i4.6705