TITLE:
Fixed Point and Common Fixed Point Theorems for Cyclic Quasi-Contractions in Metric and Ultrametric Spaces
AUTHORS:
Parin Chaipunya, Yeol Je Cho, Wutiphol Sintunavarat, Poom Kumam
KEYWORDS:
Cyclic Quasi-Contraction; Co-Cyclic Quasi-Contraction; Metric Space; Ultrametric Space
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.6,
November
13,
2012
ABSTRACT: In this paper, we prove introduce some fixed point theorems for quasi-contraction under the cyclical conditions. Then, we point out that a common fixed point extension is also applicable via our earlier results equipped together with a weaker cyclical properties, namely a co-cyclic representation. Examples are as well provided along this paper.