A Unique Common Fixed Point Theorem For Three Mappings In G Cone Metric Spaces

Abstract

In this paper we obtain a unique common fixed point theorem for three mappings in G-cone metric spaces and obtain an extension and improvement of a theorem of I. Beg et. al. [ 1 ].

Stability of tripled fixed point iteration procedures for mixed monotone mappings

“…Banach-Caccioppoli-Picard Principle was applied on partially ordered complete metric spaces by Ran and Reueings [34] and starting from their results, Bhaskar and Laksmikantham [12] extend this theory to partially ordered produced metric spaces and introduce the concept of coupled fixed point for mixed-monotone operators of Picard type, obtaining results involving the existence, the existence and the uniqueness of the coincidence points for mixed-monotone operators T : X 2 → X in the presence of a contraction type condition.…”

“…Research on tripled fixed point was continued by Abbas, Aydi and Karapinar [2], Aydi and Karapinar [4], Amini-Harandi [3], Borcut [13][14][15], Rao and Kishore [34].…”