We introduce a large class of mappings called proximal Górnicki mappings in metric spaces, which includes Górnicki mappings, enriched Kannan mappings, enriched Chatterjea mappings, and enriched mappings. We prove the existence of the best proximity points in metric spaces and partial metric spaces. Moreover, we utilize appropriate examples to illustrate our results, and we verify the convergence behavior. As an application of our result, we prove the existence and uniqueness of a solution for the variational inequality problems. The obtained results generalize the existing results in the literature.
Publications
- Article type
- Year
Article type
Year
Open Access
Research Article
Issue
AIMS Mathematics 2024, 9(3): 5886-5904
Published: 15 March 2024
Downloads:1
Total 1
京公网安备11010802044758号