Sedghi et al. (Mat. Vesn. 64(3):258-266, 2012) introduced the notion of a S-metric as a
generalized metric in 3-tuples S : X3→[0,∞), where X is a nonempty set. The aim of
this paper is to introduce the concept of an n-tuple metric A : Xn→[0,∞) and to
study its basic topological properties. We also prove some generalized coupled
common fixed point theorems for mixed weakly monotone maps in partially ordered
A-metric spaces. Some examples are presented to support the results proved herein.
Our results generalize and extend various results in the existing literature.
Rahimi, Hamidreza; Abbas, Mujahid; Rad, Ghasem Soleimani(University of Nis, Serbia, Faculty of Sciences and Mathematics, 2015)
A vector metric space is a generalization of a metric space, where the metric is Riesz space
valued. We prove some common fixed point theorems for four mappings in ordered vector metric spaces.
Obtained results extend ...
We first introduce a new concept of b-dislocated metric space as a generalization of
dislocated metric space and analyze different properties of such spaces.
A fundamental result for the convergence of sequences in ...
Aghajani, Asadollah; Abbas, Mujahid; Roshan, Jamal Rezaei(University of Nis, 2014)
In this work, using the concepts of G-metric and b-metric we define a new type of metric which
we call Gb-metric. We study some basic properties of such metric. We also prove a common fixed point
theorem for six mappings ...