New coupled fixed point theorems in cone metric spaces with applications to integral equations and Markov process

In this paper, we define a generalized T-contraction and derive some new coupled fixed point theorems in cone metric spaces with total ordering condition. An illustrative example is provided to support our results. As an application, we utilize the results obtained to study the existence of common s...

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Bibliographic Details
Published in:Transactions of A. Razmadze Mathematical Institute 2018-12, Vol.172 (3), p.409-419
Main Authors: Ramesh Kumar, D., Pitchaimani, M.
Format: Article
Language:English
Subjects:
[formula omitted]-contraction
Cone metric space
Coupled fixed point
Integral equations
Markov process
Sequentially convergent
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Summary:In this paper, we define a generalized T-contraction and derive some new coupled fixed point theorems in cone metric spaces with total ordering condition. An illustrative example is provided to support our results. As an application, we utilize the results obtained to study the existence of common solution to a system of integral equations. We also present an application to Markov process.
ISSN:2346-8092
DOI:10.1016/j.trmi.2018.01.006