Work

Fixed-Point Results for Krasnoselskii, Meir–Keeler, and Boyd–Wong-Type Mappings with Applications to Dynamic Market Equilibrium

Year: 2024

Type: article

Abstract: This paper introduces the idea of a cone m-hemi metric space, which extends the idea of an m-hemi metric space. By presenting non-trivial examples, we demonstrate the superiority of cone m-hemi metric spaces over m-hemi metric spaces. Further, we extend the Banach contraction principle and Krasnoselskii, Meir–Keeler, Boyd–Wong, and some other fixed-point results in the setting of complete and compact cone m-hemi metric spaces. Furthermore, we provide several non-trivial examples and applications to the Fredholm integral equation and dynamic market equilibrium to demonstrate the validity of the main results.

Source: Axioms

DOI: 10.3390/axioms13120867

Authors: Lifang Guo, Rabia Bibi, Abeer Alshejari, Ekrem Savas, Tayyab Kamran, Umar Ishtiaq

Institutions: Chongqing Three Gorges University, Quaid-i-Azam University, Princess Nourah bint Abdulrahman University, Usak University, University of Management and Technology

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

OpenAlex ID: W4405320694

FWCI: 0.67

Cites: 28

Cited by: 1

Related to: 10