[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2010.23.4.599

FIXED POINT THEOREMS FOR SET-VALUED MAPS IN QUASI-METRIC SPACES

Cho, Seong-Hoon (Department of Mathematics Hanseo University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.23, no.4, 2010 , pp. 599-608 More about this Journal

Abstract

In this paper, we introduce the concept of generalized weak contractivity for set-valued maps defined on quasi metric spaces. We analyze the existence of fixed points for generalized weakly contractive set-valued maps. And we have Nadler's fixed point theorem and Banach's fixed point theorem in quasi metric spaces. We investigate the convergene of iterate schem of the form $x_{n+1}{\in}Fx_n$ with error estimates.

Keywords

fixed point; set-valued mapping; quasi-metric space;

Citations & Related Records

Reference

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