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[PDF] Top 20 Strong Convergence of an Iterative Method for Inverse Strongly Accretive Operators

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Strong Convergence of an Iterative Method for Inverse Strongly Accretive Operators

Strong Convergence of an Iterative Method for Inverse Strongly Accretive Operators

... an iterative method to approximate a solution of variational inequality ...α-inverse strongly accretive operators. Strong convergence theorems are obtained in the ... See full document

9

Strong Convergence of an Iterative Method for Equilibrium Problems and Variational Inequality Problems

Strong Convergence of an Iterative Method for Equilibrium Problems and Variational Inequality Problems

... an iterative method for finding a common element of the set of solutions of equilibrium problems, the set of solutions of variational inequality problems, and the set of fixed points of finite many ... See full document

21

Strong convergence of an new iterative method for a zero of accretive operator and nonexpansive mapping

Strong convergence of an new iterative method for a zero of accretive operator and nonexpansive mapping

... Theorem 3.1. Suppose that E is reflexive which admits a weakly continuous duality map J with gauge and A is an m-accretive operator in E such that F ∗ = N(A) = ∅ . Now given j : E ® E be a MKC, and let F be a ... See full document

13

General iterative methods for generalized equilibrium problems and fixed point problems of k-strict pseudo-contractions

General iterative methods for generalized equilibrium problems and fixed point problems of k-strict pseudo-contractions

... an iterative scheme for finding an ele- ment of EP(F) ∩ F(T ...general iterative method Liu [] pro- posed the implicit and explicit iterative processes for finding an element of EP(F) ∩ F(T ) ... See full document

15

Strong convergence of a parallel iterative algorithm in a reflexive Banach space

Strong convergence of a parallel iterative algorithm in a reflexive Banach space

... Let C be a nonempty closed convex subset of E. Let T : C → C be a mapping. In this paper, we use F(T ) to denote the set of fixed points of T . Recall that T is said to be α-contractive iff there exists a constant α ∈ [, ... See full document

9

Strong convergence theorems for solving a general system of finite variational inequalities for finite accretive operators and fixed points of nonexpansive semigroups with weak contraction mappings

Strong convergence theorems for solving a general system of finite variational inequalities for finite accretive operators and fixed points of nonexpansive semigroups with weak contraction mappings

... a strong convergence theorem for finding a common solution of a general system of finite variational inequalities for finite different inverse-strongly accretive operators and ... See full document

16

Convergence theorems for fixed points of uniformly continuous Φ-pseudo-contractive-type operator

Convergence theorems for fixed points of uniformly continuous Φ-pseudo-contractive-type operator

... converge strongly to the unique fixed point of T, without requiring that the sequences associated with the schemes be ...nonlinear operators in Banach spaces, 2002), those of Gu (Northeast ... See full document

10

Strong convergence theorems by hybrid and shrinking projection methods for sums of two monotone operators

Strong convergence theorems by hybrid and shrinking projection methods for sums of two monotone operators

... the iterative schemes considered in the present paper, we will introduce two iterative algorithms for finding zero points of the sum of an inverse-strongly monotone and a maximal monotone ... See full document

12

Weak convergence of an iterative sequence for accretive operators in Banach spaces

Weak convergence of an iterative sequence for accretive operators in Banach spaces

... Applying Theorem 2.3, Lemmas 2.7 and 2.8, we have that if D is a nonempty bounded closed convex subset of a uniformly convex and 2-uniformly smooth Banach space E, D is a sunny nonexpansive retract of E and A is an ... See full document

13

Iterative algorithms with errors for zero points of m-accretive operators

Iterative algorithms with errors for zero points of m-accretive operators

... the convergence of paths for continuous pseudocontractions in a real Banach space by viscosity approximation ...m-accretive operators based on an iterative process with errors. Strong ... See full document

17

Strong convergence of an iterative scheme for accretive operators in Banach spaces

Strong convergence of an iterative scheme for accretive operators in Banach spaces

... its strong convergence in a real Hilbert ...a strong convergence result of this iterative scheme in the setting of Banach spaces involving an inverse strongly ... See full document

12

Strong convergence theorems for common zeros of a family of accretive operators

Strong convergence theorems for common zeros of a family of accretive operators

... nonlinear operators, for instance, image recovery, inverse problems, transportation problems and optimization ...ear operators. In , Kirk [] introduced a parallel iterative process for ... See full document

8

Strong convergence of Halpern iterations for quasi-nonexpansive mappings and accretive operators in Banach spaces

Strong convergence of Halpern iterations for quasi-nonexpansive mappings and accretive operators in Banach spaces

... Halpern-type iterative scheme to approximate common fixed points of an infinite family of quasi-nonexpansive mappings and obtain a strongly convergent iterative sequence to the common fixed points of ... See full document

16

Strong convergence of a general iterative algorithm for a finite family of accretive operators in Banach spaces

Strong convergence of a general iterative algorithm for a finite family of accretive operators in Banach spaces

... In view of Theorem ., we find the desired result immediately. Let W : H → R be a convex and differentiable function and M : H → R be a convex function. Consider the convex minimization problem min x∈H (Wx + Mx). From ... See full document

24

Strong Convergence of Iterative Schemes for Zeros of Accretive Operators in Reflexive Banach Spaces

Strong Convergence of Iterative Schemes for Zeros of Accretive Operators in Reflexive Banach Spaces

... composite iterative schemes by the viscosity iteration method for finding a zero of an accretive operator in reflexive Banach ...establish strong convergence theorems on the composite ... See full document

19

Approximating zero points of accretive operators with compact domains in general Banach spaces

Approximating zero points of accretive operators with compact domains in general Banach spaces

... the strong convergence of resolvents of accretive opera- tors defined in compact sets of smooth Banach ...prove strong convergence theorems of Mann’s type and Halpern’s type for ... See full document

10

On the Strong Convergence Theorem of Noor Iterative Scheme in the Class of Zamfirescu Operators

On the Strong Convergence Theorem of Noor Iterative Scheme in the Class of Zamfirescu Operators

... the strong convergence theorem for three-step Noor iterative scheme for more general operators Zamfirescu operators in arbitrary Banach ... See full document

6

Another weak convergence theorems for accretive mappings in banach spaces

Another weak convergence theorems for accretive mappings in banach spaces

... Motivated by the result of Aoyama et al., we prove two more convergence theorems for a-inverse strongly accretive mappings in a Banach space, which are supplements to Theorem 1.2 above. The ... See full document

11

Hybrid methods for accretive variational inequalities involving pseudocontractions in Banach spaces

Hybrid methods for accretive variational inequalities involving pseudocontractions in Banach spaces

... Very recently, Yao et al. [3] extended Lu et al. ’ s result to a general case, i.e., in the scheme (1.5), S, T are extended to Lipschitz pseudocontractive and f is extended to strongly pseudocontractive. But in ... See full document

9

A three-step iterative scheme for solving nonlinear ϕ-strongly accretive operator equations in Banach spaces

A three-step iterative scheme for solving nonlinear ϕ-strongly accretive operator equations in Banach spaces

... of strongly accretive operators is a proper subclass of the class of φ -strongly accretive ...called strongly pseudocontractive (respectively, φ-strongly pseudocon- ... See full document

10

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