Work

Quadruple Controlled Metric-Type Spaces with Fixed-Point Results and Applications to Boundary Value Problem

Year: 2026

Type: article

Abstract: In this paper, we introduce a novel class of quadruple controlled metric-type spaces formulated in a four-dimensional setting. Within this framework, we extend the notion of a Θ-contraction mapping to accommodate such spaces. By employing these concepts, we establish several new fixed-point theorems that significantly generalize and enhance the existing results in the literature. The validity and effectiveness of the proposed approach are demonstrated through carefully constructed illustrative examples within the defined space and for the derived fixed-point results. Finally, an application to a boundary value problem is presented, highlighting the potential of the developed theory. Furthermore, a coupled four-component thermo-chemical system was examined as an additional application, demonstrating the broader applicability of the proposed framework.

Source: Mathematics

DOI: 10.3390/math14122165

Authors: Fatima M. Azmi, Suhad Subhi Aiady

Institutions: Prince Sultan University, University of Malaya

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Prince Sultan University