Karapinar, ErdalKanta Dey, LakshmiHiranmoy, Garai2022-03-232025-09-182022-03-232025-09-182021Hiranmoy, Garai; Karapınar, Erdal; Kanta Dey, Lakshmi (2021). "Best Proximity Point Results for Contractive and Cyclic Contractive Type Mappings", Numerical Functional Analysis and Optimization, Vol. 42, No. 7, pp. 849-864.0163-05631532-2467https://doi.org/10.1080/01630563.2021.1933518https://hdl.handle.net/20.500.12416/15058The essential importance of the best proximity point theory is that "best proximity point theory" appears in the coincidence of "metric fixed point theory" and "optimization theory." So finding best proximity points of mappings satisfying different type of contractive conditions in different structures is one of the fascinating research topics. For this, in this article, we first introduce a new type of proximal property of a pair of subsets of a metric space, which we designate as proximal weakly compact pair. After this, we come up with some new type of proximal contractive and proximal cyclic contractive mappings. Then we investigate the existence of best proximity point(s) in these newly originated mappings in the setting of proximal weakly compact pair of subsets in a metric space.eninfo:eu-repo/semantics/closedAccessProximal Chatterjea Type Contractive MappingProximal Kannan Type Contractive MappingBest Proximity PointCompact Weakly Proximal PairCyclic MappingArticle10.1080/01630563.2021.19335182-s2.0-85107396679