Using the Supremum Form of Auxiliary Functions to Study the Common Coupled Coincidence Points in Fuzzy Semi-Metric Spaces

This paper investigates the common coupled coincidence points and common coupled fixed points in fuzzy semi-metric spaces. The symmetric condition is not necessarily satisfied in fuzzy semi-metric space. Therefore, four kinds of triangle inequalities are taken into account in order to study the Cauchy sequences. Inspired by the intuitive observations, the concepts of rational condition and distance condition are proposed for the purpose of simplifying the discussions.

A Constructive Scheme for a Common Coupled Fixed Point Problems in Hilbert Space

Coupled fixed points have become the focus of interest in recent times, especially for their potential applications. Very recently, the idea of common coupled fixed point iterations has been introduced for approximating common coupled fixed points in linear spaces. Here, a coupled Mann pair iterative scheme is defined and is applied to the problem of finding common coupled fixed points of certain mappings. The discussion of the paper is in the context of Hilbert spaces.

COMMON COUPLED FIXED POINTS FOR TWO PAIRS OF w -COMPATIBLE MAPS IN PARTIAL G -METRIC SPACES

In this paper we prove a unique common coupled fixed point theorem for two pairs of w-compatible mappings satisfying two contractive conditions in partial G-metric spaces. We also furnish an example to support our main theorem.Mathematics Subject Classification: 47H10, 54H25Kathmandu UniversityJournal of Science, Engineering and TechnologyVol. 12, No. 2, 2016, page: 7-28

Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces

We introduce and study the notion of common coupled fixed points for a pair of mappings in complex valued metric space and demonstrate the existence and uniqueness of the common coupled fixed points in a complete complex-valued metric space in view of diverse contractive conditions. In addition, our investigations are well supported by nontrivial examples.