Work

Fixed-Point Results and the Ekeland Variational Principle in Vector B-Metric Spaces

Year: 2025

Type: article

Abstract: In this paper, we extend the concept of b-metric spaces to the vectorial case, where the distance is vector-valued, and the constant in the triangle inequality axiom is replaced by a matrix. For such spaces, we establish results analogous to those in the b-metric setting: fixed-point theorems, stability results, and a variant of Ekeland’s variational principle. As a consequence, we also derive a variant of Caristi’s fixed-point theorem.

Source: Axioms

DOI: 10.3390/axioms14040250

Authors: Radu Precup, Andrei Stan

Institutions: Babeș-Bolyai University, Tiberiu Popoviciu Institute of Numerical Analysis

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4408925358

FWCI: 1.762

Cites: 25

Cited by: 1

Related to: 10