Best proximity points for proximal Górnicki mappings and applications to variational inequality problems
P. Dhivya,
D. Diwakaran,
P. Selvapriya
Abstract:<abstract><p>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 solut… Show more
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