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http://dx.doi.org/10.14317/jami.2011.29.3_4.1027

FIXED AND PERIODIC POINT THEOREMS IN QUASI-METRIC SPACES

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

Publication Information

Journal of applied mathematics & informatics / v.29, no.3_4, 2011 , pp. 1027-1035 More about this Journal

Abstract

In this paper, we introduce the concept of generalized weak q-contractivity for multivalued maps defined on quasi-metric spaces. A new fixed point theorem for these maps is established. The convergene of iterate schem of the form $x_n+1\;{\in}\;Fx_n$ is investigated. And a new periodic point theorem for weakly q-contractive self maps of quasi-metric spaces is proved.

Keywords

Fixed point; weak q-contractive multivalued map; Q-function; quasi-metric space;

Citations & Related Records

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