[PDF] Top 20 Fixed points of nonexpansive potential operators in Hilbert spaces

... On the other hand, another very important class of operators is that composed of poten- tial operators. That is to say, the operators that can be regarded as the Gâteaux derivative of a suitable ... See full document

... This paper is devoted to the strong convergence of two kinds of general viscosity iteration processes for approximating common fixed points of a nonexpansive semigroup in Hilbert ... See full document

... Theorem . Let C be a nonempty closed and convex subset of a real Hilbert space H. Suppose that S : C → P(C) is k-strictly pseudocontractive mapping from C into the family of all proximinal subsets of C with k ∈ ... See full document

... Let K be a nonempty proper subset of a real Banach space E. A map A : K → K is called a strict contraction if there exists k ∈ [, ) such that Ax –Ay ≤ k x –y for all x, y ∈ K, and A is called nonexpansive if, ... See full document

... We also need the following lemma whose proof can be found in literature (cf. []). Lemma . Let C be a nonempty closed convex subset of a real Hilbert space H. As- sume that a mapping F : C → H is monotone and ... See full document

... istence of such a retraction for an amenable semigroup of nonexpansive mappings on a Hilbert space. In [], Rodé also found a sequence of means on a semigroup generalizing the Cesàro means and extended ... See full document

... of fixed points of nonexpansive mappings using a hybrid iteration method in Hilbert spaces can be extended to arbitrary Banach spaces without the strong monotonicity assumption ... See full document

... firmly nonexpansive-like mappings mappings of type P in a Banach ...monotone operators in Banach spaces and firmly nonexpansive mappings in Hilbert ... See full document

... a Hilbert space E. A mapping T on C is called a nonexpansive mapping if Tx − Ty ≤ x − y for all x, y ∈ ...of fixed points of T ...Banach spaces with normal ... See full document

... finding fixed points of weakly contractive (Definition ...and nonexpansive (Definition 1.3) mappings in Hilbert spaces under the conditions ...for fixed point ...maximal ... See full document

... approximating fixed points of nonexpansive mappings and asymptot- ically nonexpansive mappings have been studied by various authors; see, ...for nonexpansive mappings in Hilbert ... See full document

... The purpose of this paper is to characterize the conditions for the convergence of the iterative scheme in the sense of Agarwal et al. (J. Nonlinear Convex. Anal. 8(1): 61-79, 2007), associated with nonexpansive ... See full document

... integral operators, approximation and fixed point results, modular-type conditions are much more natural as modular-type assump- tions can be more easily verified than their metric or norm ...tion spaces ... See full document

... for nonexpansive operators have been used to solve convex minimization problems; see, ...fixed points of a nonexpansive operator T on a real Hilbert space ... See full document

... In this paper, we prove a common random fixed point theorem for two pair of weakly compatible mappings in separable Banach spaces. A corollary of the theorem is obtained and an example is given to verify ... See full document

... of nonexpansive self-mappings of a Hilbert space, a particular qua- dratic functional, and a strongly positive selfadjoint bounded linear operator, Yamada et ...common fixed point set of the ... See full document

... of fixed points of φ essentially depend on the size of the initial value a in ...Banach-Caccioppoli fixed point principle we simply have k ( ) r = k < 1 ... See full document

... of spaces. It is know that fixed point problems of nonlinear operators, which find a lot of applications in applied sciences, such as, signal processing, im- age reconstruction, nuclear magnetic ... See full document

... a fixed point theorem for the selfmaps of a closed convex and bounded subset of the Banach space satisfying a generalized nonexpansive type ...of fixed points with Krasnoselskii and Mann type ... See full document

... nonexpansive mappings include properly the class of nonexpansive mappings in locally convex spaces, prove a theorem on the existence of fixed points, and the convergence of the sequence [r] ... See full document