Coupled coincidence point theorems for nonlinear contractions under c-distance in cone metric spaces
نویسندگان
چکیده
منابع مشابه
Coupled Coincidence Point Theorems for Nonlinear Contractions under C-distance in Cone Metric Spaces
In this paper, among others, we prove the following results: (1) Let (X, d) be a complete cone metric space partially ordered by v and q be a c-distance on X. Suppose F : X × X → X and g : X → X be two continuous and commuting functions with F (X × X) ⊆ g(X). Let F satisfy mixed g-monotone property and q(F (x, y), F (u, v)) k2 (q(gx, gu) + q(gy, gv)) for some k ∈ [0, 1) and all x, y, u, v ∈ X w...
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We extend the recent results of coupled coincidence point theorems of Shatanawi et. al. (2012) by weakening the concept of mixed g-monotone property. We also give an example of a nonlinear contraction mapping, which is not applied to the existence of coupled coincidence point by the results of Shatanawi et. al. but can be applied to our results. The main results extend and unify the results of ...
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ژورنال
عنوان ژورنال: Annals of Functional Analysis
سال: 2013
ISSN: 2008-8752
DOI: 10.15352/afa/1399899842