[PDF] Top 20 On coupled fixed point theorems on partially ordered G metric spaces

... another coupled common fixed ...a partially ordered set and G be a G-metric on X such that (X, G) is a complete G-metric space and (X, G, ) is ... See full document

... coincidence point theorems and coupled common fixed point theorems for mixed monotone operators F : X × X → X satisfying a contractive condition which is significantly more general that ... 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 such that ... 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

... Fixed point theory, which is an important branch modern mathematics, has been extensive- ly studied in different framework of ...that fixed point problems of nonlinear operators, which find a ... See full document

... In this short note, we underline the fact that most of the multidimensional fixed point theorems can be derived from the existing (uni-dimensional) fixed point results in the literature. In particular, ... See full document

... a partially ordered set and suppose there exists a cone metric d in X such that the cone metric space (X, d) is ...and g : X −→ X are such that F (X × X) ⊆ g(X) and F has the ... See full document

... fixed point theory in partially ordered metric spaces as one of the most important tools of nonlinear analysis has been widely applied to matrix equations (for more details, see [] and ... See full document

... some coupled fixed point theorems which has attracted the attention of many researchers ...on coupled fixed ...several coupled common fixed point ... See full document

... We have presented evidence, that is, Example . and Theorem ., that the results of Theorem . in [] have more limited area of application than some existing results in the literature. Moreover, the generalizations ... See full document

... a partially ordered set and suppose that there is a G-metric on X such that (X , G) is a complete G-metric ...and g: X → X be two mappings such that F has the mixed ... See full document

... some coupled fixed point theorems and applied these to study the existence and uniqueness of solution for periodic boundary value ...proved coupled coincidence and common coupled ... See full document

... a coupled coincidence point and a coupled point of coincidence for nonlinear contractive mappings in partially ordered metric spaces equipped with ...Related ... See full document

... The answer to this poser is provided by best proximity pair theorems. A best proximity pair the- orem investigates the conditions under which the optimization problem has a solution. In deed, if T is a ... See full document

... in partially ordered sets has been con- sidered in [, ], where some applications to matrix equations are ...in partially ordered sets and applied to study ordinary differential ... See full document

... Example 2.4. Let E R 2 , P {x, y ∈ R 2 : x, y ≥ 0} ⊆ R 2 , and X 0, 1. Define d : X×X → E with dx, y |x − y|, |x − y|. Then X, d is a complete cone metric space. Consider the mapping F : X × X → X with Fx, y x ... 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

... Later on, Lakshmikantham and Ciríc [8] proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete metric spaces..[r] ... See full document

... of fixed point in partially ordered sets has been considered recently in ...existence theorems for fuzzy differential ...some fixed point theorems for a mixed mono- ... See full document

... Existence of a unique solution to a periodic boundary value problem for mixed monotone mapping on partially ordered metric spaces was studied in [6]. Also, recently this equation is considered ... See full document