Fixed point theorems of enriched multivalued mappings via sequentially equivalent Hausdorff metric

Abstract: Recently, Abbas et al. [Enriched multivalued contractions with applications to differential inclusions and dynamic programming, Symmetry 13 (8) (2021), 1350] obtained an interesting generalization of the Nadler fixed point theorem by introducing the concept of enriched multivalued contraction in the framework of Banach spaces. In this article, we define a new class of metrics on the family of closed and bounded subsets of a given metric space. Furthermore, fixed point theorems were established for enriched multi-valued contractions by substituting the Hausdorff metric with metrics from a specific class that are either metrically or sequentially equivalent to the Hausdorff metric. Some examples are provided to illustrate the concepts and results presented herein. These results improve, unify, and generalize several comparable results in the literature.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Fixed point theorems of enriched multivalued mappings via sequentially equivalent Hausdorff metric ; volume:11 ; number:1 ; year:2023 ; extent:11 ; Topological algebra and its applications ; 11, Heft 1 (2023) (gesamt 11)

Contributors, Places and Time

• Creator: Abbas, Mujahid ; Anjum, Rizwan ; Tahir, Muhammad Haris

Further information

• DOI: 10.1515/taa-2022-0136
• URN: urn:nbn:de:101:1-2023082714023310960871
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 14.08.2025, 10:46 AM CEST