[PDF] Top 20 Some fixed-point theorems for mixed monotone operators in partially ordered probabilistic metric spaces

... a partially ordered set and F : X × X → ...the mixed monotone property if F is monotone non-decreasing in its first argument and is monotone non-increasing in its second argument, ... See full document

... Mixed monotone operators were introduced by Guo and Lakshmikantham in 1 in ...of operators in Banach spaces and obtained a lot of interesting and important ...obtain some new ... See full document

... of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed ... See full document

... fixed point was introduced by Guo and Lakshmikantham ...of mixed monotone property for contractive operators of the form F : X → X, where X is a partially ordered metric ... See full document

... a partially ordered set and suppose that there exists a metric d on X such that (X, d) is a complete metric ...the mixed monotone property on ... 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 ... 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 ... See full document

... paper, some recent results established by Marin Borcut [M. Borcut, Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, ... See full document

... Similarly, as an easy consequence of Theorem 2.2 we have the following corollary. Corollary 2.2 Let (X, ≤) be a partially ordered set and suppose there is a metric d on X such that (X, d, ≤) is ... See full document

... investigated some unidimensional fixed point theorems for generalized contractions in complete partially ordered metric spaces and applications to ordinary differential ... See full document

... fixed point was introduced by Guo and Lakshmikantham ...of mixed monotone property for contractive operators of the form F : X × X → X, where X is a partially or- dered metric ... See full document

... of some coupled common fixed point results for mixed monotone operators satisfying new nonlinear contractions in ordered G-metric ... See full document

... of monotone multi- valued mappings in partially ordered metric spaces and prove some fixed point theo- rems of these mappings under some contraction conditions ... See full document

... A partial order is a binary relation ≼ over a set X which is reflexive, antisymmetric, and transitive. Now, let us recall the definition of the monotonic function f : X ® X in the partially order set (X, ≼ ). We ... See full document

... present some coupled common fixed point theorems for a pair of mappings with the mixed weakly monotone property in a partially ordered metric ... See full document

... following theorems. Theorem  Let (X, G, ) be a partially ordered G-metric ...the mixed g-monotone property, and let there exist x  , y  ∈ X such that gx  F(x  , y  ) and ... See full document

... the fixed point theory, has been in the center of long lasting fascination among the mathematicians interested in many branches of mathematics, especially in nonlinear analysis (see ...of partially ... 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 ... See full document

... These theorems are generaliza- tions of the results of ...established some cou- pled fixed point theorems for a contraction mapping induced by the cone ball metric in partially ... See full document

... classical mixed monotone property when k is ...is monotone non-decreasing in its odd arguments and monotone non-increasing in its even arguments, then the ... See full document