Generalized Contractions to Coupled Fixed Point Theorems in Partially Ordered Metric Spaces
نویسندگان
چکیده
منابع مشابه
Coupled Fixed Point Theorems in Partially Ordered Cone Metric Spaces
This paper is concerned with mixed monotone mappings in partially ordered cone metric spaces. We establish several fixed point theorems, which generalize and complement some known results. Especially, even in a partially ordered metric space, our main results are generalizations of the fixed point theorems due to Bhaskar and Lakshmikantham [T. Grana Bhaskar, V. Lakshmikantham, Fixed point theor...
متن کاملCoupled fixed point theorems in partially ordered G-metric spaces
*Correspondence: [email protected] 1Department of Mathematics, Atilim University, İncek, Ankara 06836, Turkey Full list of author information is available at the end of the article Abstract The purpose of this paper is to extend some recent coupled fixed point theorems in the context of partially ordered G-metric spaces in a virtually different and more natural way. MSC: 46N40; 47H10; 54H25;...
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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: Journal of Siberian Federal University. Mathematics & Physics
سال: 2020
ISSN: 2313-6022,1997-1397
DOI: 10.17516/1997-1397-2020-13-4-492-502