Optimal Approximate Solution for (α,β )γ-Contraction Mappings in Metric Spaces with Applications

Authors

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

Author Country (or Countries)

Thailand

Abstract

In this paper, we extend the concept of generalized proximal contractions of the first kind to proximal (a,b )y -contractions types A and B. We show with examples that our new classes of mappings is real generalization of many known classes of non-self and self mappings in literature. We also introduce some condition for proving the best proximity point theorems in such classes. Applying our new concepts, we obtain best proximity point results on metric spaces endowed with an arbitrary binary relation and metric spaces endowed with graph.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100212

Recommended Citation

Mongkolkeha, Chirasak and Sintunavarat, Wutiphol (2016) "Optimal Approximate Solution for (α,β )γ-Contraction Mappings in Metric Spaces with Applications," Applied Mathematics & Information Sciences: Vol. 10: Iss. 2, Article 12.
DOI: http://dx.doi.org/10.18576/amis/100212
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss2/12