Some new cyclic admissibility type with uni-dimensional and multidimensional fixed point theorems and its applications

Volume 11, Issue 9, pp 1056--1069 http://dx.doi.org/10.22436/jnsa.011.09.04
Publication Date: June 19, 2018 Submission Date: July 07, 2017 Revision Date: March 22, 2018 Accteptance Date: April 15, 2018

Authors

Chirasak Mongkolkeha - Department of Mathematics, Statistics and Computer Sciences, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, Thailand. Wutiphol Sintunavarat - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand.


Abstract

In this paper, we introduce the concept of a cyclic \((\alpha,\beta)\)-admissible mapping type \(S\) and the notion of an \((\alpha,\beta)$-$(\psi,\varphi)\)-contraction type \(S\). We also establish fixed point results for such contractions along with the cyclic \((\alpha,\beta)\)-admissibility type \(S\) in complete \(b\)-metric spaces and provide some examples for supporting our result. Applying our new results, we obtain fixed point results for cyclic mappings and multidimensional fixed point results. As application, the existence of a solution of the nonlinear integral equation is discussed.


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ISRP Style

Chirasak Mongkolkeha, Wutiphol Sintunavarat, Some new cyclic admissibility type with uni-dimensional and multidimensional fixed point theorems and its applications, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 9, 1056--1069

AMA Style

Mongkolkeha Chirasak, Sintunavarat Wutiphol, Some new cyclic admissibility type with uni-dimensional and multidimensional fixed point theorems and its applications. J. Nonlinear Sci. Appl. (2018); 11(9):1056--1069

Chicago/Turabian Style

Mongkolkeha, Chirasak, Sintunavarat, Wutiphol. "Some new cyclic admissibility type with uni-dimensional and multidimensional fixed point theorems and its applications." Journal of Nonlinear Sciences and Applications, 11, no. 9 (2018): 1056--1069


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