Generalizations of Certain Classes of Single-Valued Mappings to Multivalued Cases

2025/05/04 by Emirhan Hacıoğlu, Hacioğlu, Emirhan
Computer Science · Mathematics · #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2505.02063

openalex publication_date 2025/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Fixed points for three point generalized orbital triangular contractions

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