On Some Common Fixed Point Theorems for Certain Contractive Mappings in Cone Metric Spaces
Journal Title: Scholars Journal of Physics, Mathematics and Statistics - Year 2014, Vol 1, Issue 2
Abstract
The aim of this paper is to establish the generalization of T-Reich and T-Rhoades type mappings on complete cone metric spaces. Huang and Zhang introduce the notion of cone metric spaces. He replaced real number system by ordered Banach space and gave the condition in the setting of cone metric spaces. These authors also described the convergence of sequences in the cone metric spaces and introduce the corresponding notion of completeness. The study of fixed point theorems in such spaces is followed by many researchers. In the present paper this study has been extended to analyse the existence and uniqueness of common fixed points of T-Reich contractive mappings defined on a complete cone metric space (X,d) as well as T-Rhoades contractive mappings. These results generalize and extend the existing fixed point theorems available in the literature.
Authors and Affiliations
A. K. Dubey, Rohit Verma
Keywords
Related Articles
- EP ID EP383461
- DOI -
- Views 79
- Downloads 0
A Simulation Study of Effects of Collinearity on Forecasting of Bivariate Time Series Data
Vector Autoregression (VAR) and Bayesian VAR (BVAR) were first introduced in the early eighties of the last century and have since proven to be practical and effective economic forecasting methodologies. This paper tends...
Algorithm for Fuzzy Maximum Flow Probdlemin Hyper-Network Setting (II)
Maximum flow problem on hypergraphs (hyper-networks) is an extension of maximum flowproblem on normal graphs. In this report, we discuss a generalized fuzzy version of maximumflow problem in hyper-networks setting, and a...
The Digital Features of the Function of Order Statistics
In this paper, we deduce the digital features of the function of order statistics by the probability density function of order statistics and the properties of the Euler integral.
A Note on the Identity Element in a Function Space
This note demonstrates that the identity element in appropriately defined function spaces is weakly compact, but not compact; and bounded, but not weakly compact.
Graph Labelling of A Topological Space Graph
Rosa, A [5] introduced the concept of labelling of a graph. The main aim of this paper is to study the concept of labelling of a graph by using topological space graph. Also we proved some fundamental results on this co...