Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 8 (2013), 91 -- 101

A SHORT SURVEY OF THE DEVELOPMENT OF FIXED POINT THEORY

Santosh Kumar

Abstract. In this survey paper, we collected the developmental history of fixed point theory. Some important results from beginning up to now are incorporated in this paper.

2010 Mathematics Subject Classification: Primary 47H10; Secondary 54H26.
Keywords: Contraction map; Nonexpansive map; Fixed points; Iteration process; Densifying map; 1-set contraction; Approximation theory; Variational inequalities.

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Santosh Kumar
Current affiliation:
Department of Mathematics
College of Natural and Applied Sciences
P.O.Box-35062
University of Dar es salaam
Tanzania.
e-mail: drsengr2002@gmail.com

On Leave from:
Department of Applied Mathematics
Inderprastha Engineering College,
Ghaziabad, U.P-201010.
India.

http://www.utgjiu.ro/math/sma