Quadruple fixed point theorems for nonlinear contractions in partially ordered metric spaces
نویسندگان
چکیده
منابع مشابه
Quadruple Fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces
In this paper we obtain existence and uniqueness results for quadruple fixed points of operators F : X → X. We also give some examples to support our results.
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The notion of coupled fixed point was initiated by Gnana Bhaskar and Lakshmikantham 1 in 2006. In this paper, they proved some fixed point theorems under a set of conditions and utilized their theorems to prove the existence of solutions to some ordinary differential equations. Recently, Berinde and Borcut 2 introduced the notion of tripled fixed point and extended the results of Gnana Bhaskar ...
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and Applied Analysis 3 Proposition 2.2 see 2 . Let X,G be a G-metric space and xn a sequence in X. Then, for all x ∈ X, the following statements are equivalent: i xn is G-convergent to x, ii G xn, xn, x → 0 as n → ∞, iii G xn, x, x → 0 as n → ∞, iv G xn, xm, x → 0 as n,m → ∞. Proposition 2.3 see 2 . Let X,G be a G-metric space and xn a sequence in X. Then, the following statements are equivalen...
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ژورنال
عنوان ژورنال: Banach Journal of Mathematical Analysis
سال: 2012
ISSN: 1735-8787
DOI: 10.15352/bjma/1337014666