Generalizations of Certain Classes of Single-Valued Mappings to Multivalued Cases
Emirhan Hacio\u{g}lu
TL;DR
This paper extends classes of single-valued mappings to multivalued cases in metric spaces, introducing new properties and fixed-point results based on recent contraction concepts.
Contribution
It provides novel multivalued generalizations of existing classes of transformations with new structural properties and fixed-point theorems.
Findings
Established fixed-point results for multivalued mappings
Introduced new structural properties for multivalued transformations
Extended contraction concepts to multivalued settings
Abstract
In this study, multivalued generalizations of certain classes of single-valued transformations defined on metric spaces are obtained. Building upon recently introduced concepts such as mappings contracting perimeters of triangles, new structural properties and fixed-point results for the multivalued counterparts are explored.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Optimization and Variational Analysis · Fixed Point Theorems Analysis