COMMON COUPLED FIXED POINT THEOREMS FOR GENERALIZED NONLINEAR CONTRACTIONS ON METRIC SPACES INVOLVING A GRAPH
Abstract
Keywords
References
- [1] Lakshmikantham V. and Ciric L.B., (2009) Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Analysis, Theory, Methods & Applications 70, 4341-4349.
- [2] Choudhury B. and Kundu A., (2010) A coupled coincidence point result in partially ordered metric spaces for compatible mappings, Nonlinear Analysis, Theory, Methods & Applications 73, 2524-2531.
- [3] Geraghty M., (1973) On contractive mappings, Proceedings of the American Mathematical Society 40, 604-608.
- [4] Choudhury B.S. and Kundu A., (2012) On coupled generalised Banach and Kannan type contractions, Journal of Nonlinear Science and Applications 5, 259-270.
- [5] Kim J.K. and Chandok S., (2013) Coupled common fixed point theorems for generalized nonlinear contraction mappings with the mixed monotone property in partially ordered metric spaces, Fixed Point Theory and Applications 307, doi: 10.1186/1687-1812-2013-307.
- [6] Jachymski J., (2008) The contraction principle for mappings on a metric space with a graph, Proceedings of the American Mathematical Society 136, 1359-1373.
- [7] Beg I., Butt A.R., Radojevic S., (2010) The contraction principle for set valued mappings on a metric space with a graph, Computers & Mathematics with Applications 60, 1214-1219.
- [8] Bojor F., (2012) Fixed point theorems for Reich type contractions on metric space with a graph, Nonlinear Analysis, Theory, Methods & Applications 75 (9), 3895-3901.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Authors
Esra Yolaçan
This is me
0000-0002-1655-0993
Türkiye
Pradip Debnath
This is me
0000-0003-0097-0819
India
Mehmet Ali Aktürk
This is me
0000-0001-9826-0844
Türkiye
Publication Date
June 1, 2018
Submission Date
March 13, 2017
Acceptance Date
April 13, 2018
Published in Issue
Year 2018 Volume: 36 Number: 2