[PDF] Top 20 Coupled fixed point theorems for generalized contractive mappings in partially ordered G-metric spaces

... fixed point theory has developed rapidly in partially ordered metric spaces, that is, metric spaces endowed with a partial ...a coupled fixed point and the ... See full document

... of g(x), where g : X → X and x ∈ X, for ...following theorems. Theorem  Let (X, G, ) be a partially ordered G-metric ...and g : X → X be mappings ... See full document

... a partially ordered set and F : X × X → X and g : X → X be two ...mixed g -monotone property if F(x, y) is monotone g-non-decreasing in x and is monotone g-non-increasing in y, ... See full document

... of generalized metric spaces, called G-metric ...such spaces every triplet of elements is assigned to a non- negative real ...of G-metric spaces, Mustafa et ... See full document

... a coupled fixed point was introduced and studied by Guo and Lakshmikantham [18] and Bhaskar and Lakshmikantham ...various coupled and common coupled fixed point ... See full document

... expansive mappings is a very interesting research area in fixed point theory (see, ...fixed point results on expansive mappings in the setting of a b-metric-like ...fixed point ... See full document

... Fixed point theory is one of the famous and traditional theories in mathematics and has a large number of ...in partially ordered sets with some applications to linear and nonlinear matrix ... See full document

... Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian ...coincidence theorems for monotone mappings in ... See full document

... unique coupled point of coincidence of F and ...and g are w-compatible, then F and g have a unique coupled common fixed ...another coupled coincidence point of F ... See full document

... of coupled fixed points in cone metric spaces and established some coupled fixed point theorems in cone metric ...proved coupled coincidence and coupled common ... See full document

... In this paper, we introduce the notion of α - ψ -contractions and ( α )-admissibility for a pair of mappings. In fact, our theorem is a generalization of the result of Mursaleen et al. (Fixed Point ... See full document

... partial metric space in which the self distance of any point of space may not be ...[28] generalized the concept of partial metric space by admitting negative ...[34] generalized both ... See full document

... Fixed point theory plays a major role in ...fixed point theory in some met- ric spaces. One of these spaces is a partially ordered metric space, that is, ... See full document

... fixed point theorems for a k-variable isotone mapping, which include the unidimensional, coupled, tripled, and k-dimensional fixed point theorems as particular ... See full document

... Theorem . Let (X, ≤) be a partially ordered set and suppose there is a metric d on X such that (X, d) is a complete metric space. Let F : X × X → X be a mapping such that F has the mixed ... See full document

... common coupled fixed point theo- rems under the conditions of weakly commutativity and w−compatibility on a complete metric space, which is not partially ...of coupled ... See full document

... fixed point theory was initiated in  by Gnana Bhaskar and Lak- shmikantham ...a coupled fixed point of certain operators in the context of a partially ordered set to solve a periodic ... See full document

... a partially ordered set and F : X × X → X and g : X → X be two ...mixed g-monotone property if F (x, y) is monotone g-non-decreasing in x and is monotone g-non-increasing in y, ... See full document

... above theorems, we first define the concept of proximal mixed g-monotone property and proximally tripled weak (ψ , φ ) contraction on ...of partially ordered metric ... See full document

... of fixed points of mappings satisfying certain contractive conditions has been at the center of rigorous research activity; see, ...usual metric spaces and it is introduced by Dhage ... See full document