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Fixed Point and Common Fixed Point Theorems for Cyclic Quasi-Contractions in Metric and Ultrametric Spaces

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DOI: 10.4236/apm.2012.26060    3,298 Downloads   6,225 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

P. Chaipunya, Y. Cho, W. Sintunavarat and P. Kumam, "Fixed Point and Common Fixed Point Theorems for Cyclic Quasi-Contractions in Metric and Ultrametric Spaces," Advances in Pure Mathematics, Vol. 2 No. 6, 2012, pp. 401-407. doi: 10.4236/apm.2012.26060.

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