Convergence and best proximity points for Berinde's cyclic contraction with proximally complete property

Author:

Sanhan Sujitra1,Mongkolkeha Chirasak1

Affiliation:

1. Department of Mathematic Statistics and Computer Science, Faculty of Liberal Arts and Science; Kasetsart University; Kamphaeng-Saen Campus Nakhonpathom 73140 Thailand

Funder

Kasetsart University Research and Development Institute

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference21 articles.

1. Extensions of two fixed point theorems of F.E. Browder;Fan;Mathematische Zeitschrift,1969

2. Fixed point theorems for set valued mappings and existence of best approximations;Prolla;Numerical Functional Analysis and Optimization,1982

3. Approximate selections, best approximations, fixed points and invariant sets;Reich;Journal of Mathematical Analysis and Applications,1978

4. A generalization to multifunctions of Fan's best approximation theorem;Sehgal;Proceedings of the American Mathematical Society,1988

5. A theorem on best approximations.;Sehgal;Numerical Functional Analysis and Optimization,1989

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