Best Proximity Point Results for MK-Proximal Contractions

Joint Authors

Jleli, Mohamed Boussairi
Karapinar, Erdal
Samet, Bessem

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-12-31

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

Let A and B be nonempty subsets of a metric space with the distance function d, and T:A→B is a given non-self-mapping.

The purpose of this paper is to solve the nonlinear programming problem that consists in minimizing the real-valued function x↦d(x,Tx), where T belongs to a new class of contractive mappings.

We provide also an iterative algorithm to find a solution of such optimization problems.

American Psychological Association (APA)

Jleli, Mohamed Boussairi& Karapinar, Erdal& Samet, Bessem. 2012. Best Proximity Point Results for MK-Proximal Contractions. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-453384

Modern Language Association (MLA)

Jleli, Mohamed Boussairi…[et al.]. Best Proximity Point Results for MK-Proximal Contractions. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-453384

American Medical Association (AMA)

Jleli, Mohamed Boussairi& Karapinar, Erdal& Samet, Bessem. Best Proximity Point Results for MK-Proximal Contractions. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-453384

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-453384