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Citation - WoS: 3
Citation - Scopus: 4
A New Class of Generalized Contraction Using p-functions in Ordered Metric Spaces
(Sciendo, 2015) Amor, Sana Hadj; Karapinar, Erdal; Kumam, Poom
In this paper, we introduced and studied a new class of mappings in ordered metric spaces that is inspired from the concept of a P-function introduced in Chaipunya et. al. [10]. With our new class, we furnish fixed point theorems for continuous, noncontinuous, monotonic, and nonmonotonic mappings in various kinds of the ordering structures.
Citation - WoS: 18
Citation - Scopus: 21
TRIPLED BEST PROXIMITY POINT THEOREM IN METRIC SPACES
(Element, 2013) Cho, Yeol Je; Gupta, Animesh; Karapinar, Erdal; Kumam, Poom; Sintunavarat, Wutiphol
The purpose of this article is to first introduce the notion of tripled best proximity point and cyclic contraction pair. We also establish the existence and convergence theorems of tripled best proximity points in metric spaces. Moreover, we apply our results to setting of uniformly convex Banach space. Finally, we obtain some results on the existence and convergence of tripled fixed point in metric spaces and give illustrative examples of our theorems.