MMN-2134
Proximal monotonicity in partially ordered metric spaces and $F$-cyclic contractions
M. Gabeleh; O. Olela Otafudu; R. Plebaniak;Abstract
Abstract. In this paper, we study the existence of best proximity points for a new class of cyclic mappings, called F-cyclic contractions, in the setting of partially ordered metric spaces by using a geometric notion of
monotone proximally property. Our conclusions extend and improve the main results of Abkar and Gabeleh
[A. Abkar, M. Gabeleh, Best proximity points for cyclic mappings in ordered metric spaces, J. Optim. Theory Appl., 150, 188-193, (2011)]. Examples are given to support our main results.
Vol. 18 (2017), No. 2, pp. 739-750