[PDF] Top 20 Fixed point theorems for the class Q(X,Y)

... subset X of a Hausdorff topological vector space E is said to be nearly convex (see Wu [7]) if for every compact subset A of X and every neighborhood V of the origin 0 of E, there is a continuous mapping h : ... See full document

... ∈ X , then F is called a S-KKM mapping with respect to ...: Y Z satisfies that for any S-KKM mapping F with respect to T, the family { F(x) : x ∈ X } has the finite intersection ... See full document

... For the completeness, we recall the certain definitions and examples from [4]. Definition 1.4. [4]. Let V = ( V , +) be an additive abelian group and B = ( B , +, ., ) a Boolean algebra. The set V with two operations ... See full document

... joining x ∈ X to y ∈ X (or, more briefly, a geodesic from x to y) is a map c from a closed interval [0,l] ⊂ R to X such that c(0) = x, c(l) = y, and d(c(t), ... See full document

... for all x, y ∈ E with x ≤ , y ≤  and x – y ∈ { tz : t ∈ [–, –ε] ∪ [+ε, +] } . It is obvious that UCED implies strictly convexity. We know that every separable Banach space ... See full document

... i.e., x ≤ y if and only if y – x ∈ P. If x ≤ y and x = y, then we denote x < y or y > ...(i) x ∈ P, λ ≥  ⇒ λx ∈ P; (ii) x ... See full document

... Definition 2.2. Let Px = {y ∈ C :k x − y k= d(x,C)} denote the set of all points in C closest to x. The set C is said to be proximinal if Px is nonempty for each x ∈ X, ... See full document

... of X consisting of all elements z such that f n (z) = for some n ∈ ...on X \ Z: we say that x~ y if and only if f n (x) = f m (y) for some n,m ∈ ... See full document

... Theorem . (Sehgal and Bharucha-Reid [], ) Let (E, F, ) be a complete Menger probabilistic metric space for which the triangular norm is continuous and satisfies (a, b) = min(a, b). If T is a mapping of E into ... See full document

... common fixed point theorems for (ψ , F, α , β ) − weakly contractive mappings in rectangular metric spaces via new ...common fixed point ...introduced fixed point ... See full document

... fixed point or minimal point theorems in an ordered ...fixed point of such a map and the monotonicity of the ...existence theorems, namely minimal point, Caristi fixed point, ... See full document

... constant, x and y stand for the state and decision vectors, respectively, a, b and c denote the transformations of the processes, and f (x) is the optimal return func- tion with initial state ...fixed ... See full document

... fixed point theorem of nonlinear operators in an ordered Banach space by using topological methods and partial ordered methods (see [–] and references ...fixed point theorem in Hilbert spaces with lattice ... See full document

... By setting px, y px in Theorem 3.5, we have the following: COROLLARY :}.6 Let X,.T’ be a probabilistic quasi-metric space and let S and T be two commuting self-mappings of X.. If these c[r] ... See full document

... which gives the continuity of f in b-metric space (X, d). Thus conclusions (i) and (iii) follow immediately from Theorem .. Let ξ be another fixed point of f in S; then d(ξ, ξ ) ∈ J. It follows from ... See full document

... coupled fixed point problem ([7, 6, 10, 13, 14, 12])), and many other results related to this kind of problem ( see [3, 8, 12, 15, ...some fixed point theorems for monotone rational ... See full document

... The Banach contraction principle [1] is one of the most powerful and useful tools in mod- ern analysis. Over time, this principle has been extended and improved in many ways and a variety of fixed point ... See full document

... space X and an operator T ∈ L(X), find a closed nontrivial subspace M of X ...≠ X and M ≠ {0}) for which TM ⊂ ...vast class of ... See full document

... pansiveness. Indeed, whenever f g, if  ≤ f (x) ≤ g(x) < , then T(f ) – T (g) ≤ f – g. On the other hand,  ≤ f (x) <  and g = , so if  ≤ f (x) ≤  and g = , then we have again T(f ... See full document

... all fixed points of a self mapping T from X into itself by F(T), ...a fixed point of T then it is also a fixed point of T n for each nN, ... See full document