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New coupled fixed point theorems in cone metric spaces with applications to integral equations and Markov process
, M. Pitchaimani
Published in A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University
2018
Volume: 172
   
Issue: 3
Pages: 409 - 419
Abstract
In this paper, we define a generalized [Formula presented]-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. © 2018 Ivane Javakhishvili Tbilisi State University
About the journal
JournalTransactions of A. Razmadze Mathematical Institute
PublisherA. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University
ISSN23468092