Work

Existence and stability theorems in vector-valued metric spaces for fixed point and coincidence point problems governed by multi-valued weak contractions

Year: 2025

Type: book-chapter

Abstract: In this work, in the setting of a vector-valued metric space X, the fixed point inclusion $$x\in G(x), x\in X$$ x ∈ G ( x ) , x ∈ X governed by a multi-valued operator $$G:X\multimap X$$ G : X ⊸ X satisfying a weak contraction type condition on its graph is studied. Some stability results are obtained and the coincidence point problem involving two multi-valued operators is also studied. The best proximity point problem in vector-valued metric spaces is finally discussed.

Source: Journal of Optimization Theory and Applications

DOI: 10.1007/s10957-025-02758-6

Authors: Adrian Petruşel, Gabriela Petruşel

Institutions: Babeș-Bolyai University, Academia Oamenilor de Știință din România

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

OpenAlex ID: W4411736453