Work

Creating new contractive mappings to obtain fixed points and data-dependence results under auxiliary functions

Year: 2024

Type: article

Abstract: This manuscript is concerned with obtaining results for fixed points that arise from new contractive mappings on controlled metric spaces. These mappings are a mixture of Wardowski’s contractions with both multivalued, nonlinear mappings and auxiliary functions. It is also proved that the obtained fixed-point outcomes are well-posed. Additionally, a data-dependence result for fixed points is given. To aid with understanding, several illustrative examples are also provided. Numerous findings that are currently in the literature are specific instances of the findings that were made.

Source: Boundary Value Problems

DOI: 10.1186/s13661-024-01945-0

Authors: Hasanen A. Hammad, Doha A. Kattan

Institutions: Qassim University, Saveetha University, Sohag University, King Abdulaziz University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,790

OpenAlex ID: W4403338104

FWCI:

Cites: 18

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Related to: 10