A Best Proximity Point Theorem for Generalized Non-Self-Kannan-Type and Chatterjea-Type Mappings and Lipschitzian Mappings in Complete Metric Spaces. (13th July 2016)

• Record Type: Journal Article
• Authors: Ungchittrakool, Kasamsuk
• Other Names: Suzuki Tomonari Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-07-13
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/9321082
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The purpose of this paper is to provide and study a best proximity point theorem for generalized non-self-Kannan-type and Chatterjea-type mappings and Lipschitzian mappings in complete metric spaces. The significant mapping in a unified form which related to contractive mappings, Kannan-type mappings, and Chatterjea-type mappings is established. We also provide some examples to illustrate the situation corresponding to the main theorem. The main result of this paper can be viewed as a general and unified form of several previously existing results.