Karapinar, ErdalMathematics2024-07-052024-07-0520120893-965910.1016/j.aml.2012.02.0082-s2.0-84865645540https://doi.org/10.1016/j.aml.2012.02.008https://hdl.handle.net/20.500.14411/342KARAPINAR, ERDAL/0000-0002-6798-3254In this this manuscript, we proved that the existence of best proximity points for the cyclic operators T defined on a union of subsets A, B of a uniformly convex Banach space X with T (A) subset of B, T(B) subset of A and satisfying the condition parallel to Tx - Yy parallel to <= alpha/3[parallel to x-y parallel to + parallel to Tx - x parallel to + parallel to Ty - y parallel to] + (1 - alpha)diam(A, B) for alpha is an element of (0, 1) and for all x is an element of A, for all y is an element of B, where diam(A, B) = inf{parallel to x - y parallel to : x is an element of A, y is an element of B}. (C) 2012 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/openAccessCyclic contractionBest proximity pointsFixed point theoryArticleQ1251117611766WOS:00030732660003466