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 100
- Downloads 0
Carbon dioxide Capture and Sequestration to Mitigate Greenhouse Effect
Climate change is a major challenge. Secure, reliable and affordable energy supplies are needed for economic growth, but increases in the associated carbon dioxide (CO2) emissions are the cause of major concern. Carbon d...
Zero Factorial
Factorials play a major role in many applications. In this work we will discuss the concepts of factorial and provide the proofs related to 0!=1. Finally we present the new variations of factorials with few examples
Comparison of criteria for the selection of discriminating variables: Application in Credit-Scoring
Banks want to reduce the credential risk by applying rules in order to classify the new loan seekers into “good customers” and “bad customers”. Searching past data is the best solution to build a statistics strategy to s...
Malmquist productivity index in two-stage production systems with interval data
The customary two-stage data envelopment analysis model, measures overall performance of a system which includes two stages in a specific period of time. In these models, some variables (the variables between two stages)...
Canonical Correlation Analysis of the Big Five Factors of Personality and Future Anxiety among Palestinian University Students
This study explores the relationship between the Big-Five factors of Personality, which are Neuroticism, Extraversion, Openness to Experience, Agreeableness and Conscientiousness, and four domains of Future Anxiety, whic...