Abkar, AliKarapinar, ErdalFouladi, Farhad2023-02-132025-09-182023-02-132025-09-182020Fouladi, Farhad; Abkar, Ali; Karapınar, Erdal (2020). "Weak proximal normal structure and coincidence quasi-best proximity points", Applied General Topology, Vol. 21, No. 2, pp. 331-347.1989-41471576-9402https://doi.org/10.4995/agt.2020.13926https://hdl.handle.net/20.500.12416/13606We introduce the notion of pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. We study the best proximity point problem for this class of mappings. We also study the same problem for the class of pointwise noncyclic-noncyclic relatively nonexpansive pairs involving orbits. Finally, under the assumption of weak proximal normal structure, we prove a coincidence quasi-best proximity point theorem for pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. Examples are provided to illustrate the observed results.eninfo:eu-repo/semantics/openAccessPointwise Cyclic-Noncyclic PairsWeak Proximal Normal StructureCoincidence Quasi-Best Proximity PointArticle10.4995/agt.2020.139262-s2.0-85091930801