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http://dx.doi.org/10.14403/jcms.2013.26.1.001

FIXED POINT AND PERIODIC POINT THEOREMS ON METRIC SPACES  

Cho, Seong-Hoon (Department of Mathematics Hanseo University)
Park, Dong-Gon (Department of Mathematics Hanseo University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.1, 2013 , pp. 1-16 More about this Journal
Abstract
The aim of this paper is to establish a new fixed point theorem for a set-valued mapping defined on a metric space satisfying a weak contractive type condition and to establish a new common fixed point theorem for a pair of set-valued mappings defined on a metric space satisfying a weak contractive type inequality. And we give periodic point theorems for single-valued mappings defined on a metric space satisfying weak contractive type conditions.
Keywords
common fixed point; periodic point; set-valued mapping; weakly contractive type inequality;
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