[PDF] Top 20 Convergence theorem for an iterative algorithm of λ-strict pseudocontraction
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Convergence theorem for an iterative algorithm of λ-strict pseudocontraction
... Convergence of this two schemes have been studied by many researchers with var- ious types of additional conditions. For the studies of a nonexpansive mapping T, see Bruck [4,5], Reich [6,7], Song-Xu [8], ... See full document
8
Strong convergence theorem of two step iterative algorithm for split feasibility problems
... Motivated and inspired by the research going on in this section, the purpose of this article is to study a two-step iterative algorithm for split feasibility problems such that the strong convergence ... See full document
13
On asymptotically strict pseudocontractions and equilibrium problems
... classical algorithm is the Krasnoselskii-Mann iterative ...Krasnoselskii-Mann iterative algorithm is weak convergence for the solutions of equilibrium ...strong convergence of ... See full document
16
Some extragradient methods for common solutions of generalized equilibrium problems and fixed points of nonexpansive mappings
... of Theorem 3.1 in [3], we can easily obtain the following weak convergence theorem for an iterative algorithm based on the extragradient method which solves the problem of finding a ... See full document
19
Iterative algorithm of common solutions for a constrained convex minimization problem, a quasi-variational inclusion problem and the fixed point problem of a strictly pseudo-contractive mapping
... The remainder of this paper is organized as follows. In Section , some definitions and lemmas are provided to get the main results of this paper. In Section , we give and prove one strong convergence ... See full document
15
Strong Convergence Theorems for Strict Pseudocontractions in Uniformly Convex Banach Spaces
... Mann iterative sequence converges weakly to a fixed point of λ-strict pseudocontractions in Hilbert ...Reich’s theorem 7, Theorem 2, with respect to nonexpansive mappings, be extended ... See full document
9
Iterative approximation for split common fixed point problem involving an asymptotically nonexpansive semigroup and a total asymptotically strict pseudocontraction
... strong convergence is obtained. In order to obtain a strong convergence result in Theorem ...implicit iterative scheme or an explicit iterative ...implicit iterative scheme, the ... See full document
14
An algorithm with strong convergence for the split common fixed point problem of total asymptotically strict pseudocontraction mappings
... an algorithm to solve the split common fixed point problems for total asymptotically strict pseudocontraction mappings in Hilbert ...the iterative scheme is shown to converge strongly to a ... See full document
13
Strong Convergence Theorems of Modified Ishikawa Iterative Method for an Infinite Family of Strict Pseudocontractions in Banach Spaces
... Lemma 2.6 see 2. Let C be a nonempty closed convex subset of a q-uniformly smooth and strictly convex Banach space E. Let S i , i 1, 2, . . ., be a λ i -strict pseudocontraction from C into itself ... See full document
19
Strong convergence theorems for fixed points of asymptotically strict quasi-ϕ-pseudocontractions
... strong convergence theorem for fixed points of strict pseudocontraction based on hybrid projection algorithms in Hilbert ...projection algorithm for strict quasi-φ- ... See full document
12
A System of Generalized Mixed Equilibrium Problems and Fixed Point Problems for Pseudocontractive Mappings in Hilbert Spaces
... general iterative method for finding a common element of the set of solutions of the mixed equilibrium problems, the set of fixed point of a k-strict pseudocontraction mapping, and the set of ... See full document
33
Strong Convergence Theorems of a New General Iterative Process with Meir-Keeler Contractions for a Countable Family of -Strict Pseudocontractions in -Uniformly Smooth Banach Spaces
... extends Theorem 3.1 of Zhang and Su 17, Theorem 1 of Yao et ...Our iterative scheme studied in present paper can be viewed as a refinement and modification of the iterative methods in 12, 13, ... See full document
19
On the Strong Convergence Theorem of Noor Iterative Scheme in the Class of Zamfirescu Operators
... the iterative schemes of fixed points of self and non-self contractive type operators in metric spaces, Hilbert spaces or several classes of Banach spaces, (see for example the reference papers ...for ... See full document
6
Strong convergence of modified Halpern’s iterations for a k strictly pseudocontractive mapping
... It is obvious that a k-strictly pseudocontractive mapping is Lipschitzian with L = k+ k . The class of nonexpansive mappings is a subclass of strictly pseudocontractive mappings in a Hilbert space, but the converse ... See full document
10
Convergence analysis of an iterative algorithm for monotone operators
... is nonexpansive; see [] for more details. It follows that VI(C, A) is closed and convex. In [], Takahashi an Toyoda investigated the problem of finding a common solution of variational inequality problem (.) and a ... See full document
14
New iterative scheme with strict pseudo-contractions and multivalued nonexpansive mappings for fixed point problems and variational inequality problems
... Theorem . Let C be a nonempty, closed, and convex subset of a real Hilbert space H. Let f : C × C → R be a monotone, continuous, and Lipschitz-type continuous bifunction, and let f (x, ·) be convex and ... See full document
13
Some Fourier inequalities for orthogonal systems in Lorentz–Zygmund spaces
... In this section we first prove some results which are closely related to but not covered by the results in the previous sections (Propositions 4.1 and 4.2). After that, we present some results of a similar kind (see [11, ... See full document
18
A new variant of statistical convergence
... (A, λ )-summability, which is a generalization of statistical ...statistical convergence and λ -statistical convergence and provide some interesting ... See full document
8
Convergence and stability analysis of iterative algorithm for a generalized set-valued mixed equilibrium problem
... Inspired by the works given in [2,4-6,8,11,12,15], in this paper, we consider a generalized set-valued mixed equilibrium problem (GSMEP) in real Hilbert space. Related to GSMEP, we consider a generalized Wiener-Hopf ... See full document
12
Strong convergence of a general iterative algorithm in Hilbert spaces
... general iterative algorithm, we study the problem of approx- imating a common element in the common fixed point set of an infinite family of non- expansive mappings, in the solution set of a variational ... See full document
18
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