A Best Proximity Point Theorem for Generalized Non-Self-Kannan-Type and Chatterjea-Type Mappings and Lipschitzian Mappings in Complete Metric Spaces

Author

Ungchittrakool, Kasamsuk

Source

Journal of Function Spaces

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-07-13

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Ungchittrakool, Kasamsuk. 2016. A Best Proximity Point Theorem for Generalized Non-Self-Kannan-Type and Chatterjea-Type Mappings and Lipschitzian Mappings in Complete Metric Spaces. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1108673

Modern Language Association (MLA)

Ungchittrakool, Kasamsuk. A Best Proximity Point Theorem for Generalized Non-Self-Kannan-Type and Chatterjea-Type Mappings and Lipschitzian Mappings in Complete Metric Spaces. Journal of Function Spaces No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1108673

American Medical Association (AMA)

Ungchittrakool, Kasamsuk. A Best Proximity Point Theorem for Generalized Non-Self-Kannan-Type and Chatterjea-Type Mappings and Lipschitzian Mappings in Complete Metric Spaces. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1108673

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1108673