On "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -contractions in ordered metric spaces

Author:

Chaipunya Parin,Sintunavarat Wutiphol,Kumam Poom

Abstract

Abstract In this paper, we introduced a new type of a contractive condition defined on an ordered space, namely a P -contraction, which generalizes the weak contraction. We also proved some fixed point theorems for such a condition in ordered metric spaces. A supporting example of our results is provided in the last part of our paper as well. MSC:06A05, 06A06, 47H09, 47H10, 54H25.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Reference17 articles.

1. Aydi H, Abbas M, Sintunavarat W, Kumam P: Tripled fixed point of W -compatible mappings in abstract metric spaces. Fixed Point Theory Appl. 2012., 2012: Article ID 134

2. Aydi H, Vetro C, Sintunavarat W, Kumam P: Coincidence and fixed points for contractions and cyclical contractions in partial metric spaces. Fixed Point Theory Appl. 2012., 2012: Article ID 124

3. Ćirić L: A generalization of Banach’s contraction principle. Proc. Am. Math. Soc. 1974, 45: 267–273.

4. Ćirić L: A new fixed-point theorem for contractive mappings. Publ. Inst. Math. (Belgr.) 1981, 30: 25–27.

5. Ćirić L: Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces. Nonlinear Anal., Theory Methods Appl. 2010, 72(3–4):2009–2018. 10.1016/j.na.2009.10.001

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