Chirasak Mongkolkeha - Department of Mathematics, Statistics and Computers, 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.
In this paper, we introduce the concept of multiplicative proximal contraction mapping which is a Banach's contraction for non-self mapping in the framework of multiplicative metric spaces and we also prove best proximity point theorems for such mappings. Some illustrative example is furnished which demonstrate the validity of the hypotheses and degree of utility of our results.
Chirasak Mongkolkeha, Wutiphol Sintunavarat, Best Proximity Points for Multiplicative Proximal Contraction Mapping on Multiplicative Metric Spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 6, 1134--1140
Mongkolkeha Chirasak, Sintunavarat Wutiphol, Best Proximity Points for Multiplicative Proximal Contraction Mapping on Multiplicative Metric Spaces. J. Nonlinear Sci. Appl. (2015); 8(6):1134--1140
Mongkolkeha, Chirasak, Sintunavarat, Wutiphol. "Best Proximity Points for Multiplicative Proximal Contraction Mapping on Multiplicative Metric Spaces." Journal of Nonlinear Sciences and Applications, 8, no. 6 (2015): 1134--1140
