Fixed-Point Theorems in Branciari Distance Spaces
Year: 2025
Type: article
Abstract: In this study, the concepts of σ-Caristi maps and generalized σ-contraction maps are introduced, and fixed-point theorems for such maps are established. A generalization of Caristi’s fixed-point theorem and Banach’s contraction principle is proved. The relationships among the various contraction conditions introduced in this paper are examined. Examples are provided to elucidate the main theorem, and applications to integral and differential equations are also discussed.
Source: Axioms
Author: Seong-Hoon Cho
Institution: Hanseo University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W7084095608