[PDF] Top 20 Fixed point theorems of (a,b)-monotone mappings in Hilbert spaces

... (a, b)-monotone mapping is not necessary to be a quasi-nonexpansive mapping, TY mapping, hybrid mapping, λ-hybrid mapping, (α, β)-generalized hybrid mapping, and α-nonexpansive ... See full document

... real Hilbert space, and let C be a nonempty closed convex subset of ...of fixed points of T is denoted by F ( T ...nonexpansive mappings is important, and there are many well-known results in the ... See full document

... (a, b)-generalized hybrid mappings, and stu- died fixed point theorems and weak convergence theorems for such nonlinear map- pings in Hilbert ...a, b Î ℝ . A ... See full document

... fixed point theorems for widely more generalized hybrid non-self mappings in a Hilbert space by using the idea of Hojo, Takahashi and Yao [] and Kawasaki and Takahashi fixed point ... See full document

... mixed monotone property (w.r.t. { A, B } ) if F is monotone non-decreasing in the arguments of A and monotone non-increasing in the arguments of B, ... See full document

... nonexpansive mappings and ...convergence theorems of such an itera- tion in an ordered Banach space (E, ≤ ...a monotone nonexpansive mapping provided α n ∈ [a, b] ⊂ (, ... See full document

... of fixed and common fixed point results in different types of ...metric spaces, fuzzy metric spaces, and uniform ...metric spaces, the distance of a point in the self may ... See full document

... fixed point theory, initiated by Ran and Reurings [] and continued by Nieto and Rodriguez-López [, ], is to consider a partial order on the ambi- ent metric space (X, d) and to transfer a part of the contractive ... See full document

... A uniform space X, ϑ is said to be Hausdorff if and only if the intersection of all the V ∈ ϑ reduces to diagonal Δ of X , that is, x, y ∈ V for V ∈ ϑ implies x y. Notice that Hausdorffness of the topology induced by the ... See full document

... two mappings. Then F is said to have mixed g-monotone property if F (x, y) is monotone g-non-decreasing in x and is monotone g-non-increasing in y, that is, for any x, y ∈ ... See full document

... Throughout the rest of the paper, we shall use the notation gx instead of g(x), where g : X → X and x ∈ X, for brevity. In [], Nashine proved the following theorems. Theorem  Let (X, G, ) be a partially ... See full document

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

... Fixed point theory plays one of the important roles in nonlinear ...famous fixed point theorem for contractive mappings in complete metric ...with b-metrics which generalized ... See full document

... Hilbert spaces. One of them is the set of zero points of the sum of two monotone operators and the other is the set of fixed points of ...convergence theorems of the sequence generated by the ... See full document

... Fixed point theory is one of the famous and traditional theories in mathematics and has a large number of ...main theorems to obtain a unique solution for a first-order ordinary differential equation ... See full document

... of monotone multi-valued mappings in partially ordered metric spaces and prove some fixed point theorems of those two types of mappings under some contraction ... See full document

... for fixed point problems and variational inequality problems,” Journal of Inequalities and Applications, ...convergence theorems for a generalized equilibrium problem with a relaxed monotone ... See full document

... In many recent publications in fixed point theory auxiliary functions are used to generalize the contractive conditions on the maps defined on various spaces. On the other hand, as appears in some studies, ... See full document

... mixed monotone mappings with auxiliary functions in the framework of metric space endowed with a partial ...fixed point theorems in the underlying ...other theorems from the literature ... See full document

... coupled fixed points for mixed monotone mappings in partially ordered metric spaces was firstly studied by Bhaskar and Lakshmikantham [7], where some applications to periodic boundary value ... See full document