Accretive Operator
Strong convergence theorems for common solutions of a family of nonexpansive mappings and an accretive operator
... In this paper, we investigate common fixed point problems of a family of nonexpansive mappings generated in (.) and a zero point problem of an accretive operator based on a viscosity approximation method. ...
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A further remark to paper ‘Convergence theorems for the common solution for a finite family of ϕ strongly accretive operator equations’
... In order to obtain the main conclusion of this paper, we need the following lemmas. Lemma . [] Suppose that E is an arbitrary Banach space and A : E → E is a continuous φ -strongly accretive operator. ...
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System of variational inequalities and an accretive operator in Banach spaces
... (iii) Our Theorem . extends and generalizes Ceng and Yao [, Theorem .] from a nonexpansive mapping to a countable family of nonexpansive mappings, and Jung [, Theorems .] to the setting of a countable family of ...
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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 ...
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Krasnosel’skiĭ-Mann-Opial type iterative solution of m-accretive operator equation and its stability in arbitrary Banach spaces
... Let X be a Banach space. Suppose that A : X → X is a Lipschitz accretive operator. The objective of this note is to discuss simultaneously the existence and uniqueness of solution of the equation x + Ax = f ...
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Splitting midpoint method for zeros of the sum of accretive operator and μ inversely strongly accretive operator in a q uniformly smooth Banach space and its applications
... be a uniformly convex Banach space. Let f : E → E be a fixed contractive mapping with coefficient k ∈ (, ), T : E → E be a strongly positive linear bounded operator with coef- ficient γ . Suppose that the duality ...
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A three-step iterative scheme for solving nonlinear ϕ-strongly accretive operator equations in Banach spaces
... (i) Gurudwan and Sharma [] studied a strong convergence of multi-step iterative scheme to a common solution for a finite family of φ-strongly accretive operator equations in a reflexive Banach space with ...
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5. Approximating solutions for the system of $\phi$-strongly accretive operator equations in Reflexive Banach space
... Abstract. The purpose of this paper is to study a strong convergence of multi-step iterative scheme to a common solution for a finite family of 𝜙- strongly accretive operator equations in a reflexive Banach ...
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Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems
... In this paper we propose and studied a new composite iterative scheme with certain control con- ditions for viscosity approximation for a zero of accretive operator and fixed points problems in a reflexive ...
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Structure of the antieigenvectors of a strictly accretive operator
... STATIONARY VALUF OF ^I’ FOR SELFADJOINT OPERATORS For a selfadjoint operator A we can obtain the structure of the stationary vectors of RAf which is obviously equal to ^f in this case, i[r] ...
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Regularization of nonlinear Ill-posed equations with accretive operators
... an accretive operator in an appropriate Banach ...of accretive operators, due to Browder [11], states that if A is locally Lipschitzian and accretive, then A is ...
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Some results on an infinite family of accretive operators in a reflexive Banach space
... The class of accretive operators is an important class of nonlinear operators. Interest in accretive operators stems mainly from their firm connection with equations of evolutions. It is well known that many ...
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H( , ) φ η Accretive Operators and Generalized Variational Like Inclusions
... R u H A B M z 1 u , u X . Theorem 3.2. Let H A B , be -strongly -ac- cretive with respect to A, -relaxed -accretive with respect to B, > and is -Lipschitz continuous. Let M ...
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A Hybrid Proximal Point Three-Step Algorithm for Nonlinear Set-Valued Quasi-Variational Inclusions System Involving -Accretive Mappings
... resolvent operator associated with A, η-accretive operator due to Lan, an existence theorem of solution for this class of variational inclusions is proved, and a new hybrid proximal point algorithm ...
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Weak convergence of a Mann like algorithm for nonexpansive and accretive operators
... strongly accretive operator and B is an m- accretive operator, in the framework of uniformly convex and q-uniformly smooth Ba- nach ...
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Viscosity approximation fixed points for nonexpansive and -accretive operators
... Next two main results are about accretive operators, we consider the problem of find- ing a zero of an m -accretive operator A in a reflexive Banach space X , 0 ∈ Ax... We only include t[r] ...
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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 ...
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A New System of Nonlinear Fuzzy Variational Inclusions Involving Accretive Mappings in Uniformly Smooth Banach Spaces
... A new system of nonlinear fuzzy variational inclusions involving A, η-accretive mappings in uniformly smooth Banach spaces is introduced and studied many fuzzy variational and variational inequality inclusion ...
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Strong convergence of an iterative scheme for accretive operators in Banach spaces
... Theorem 1.2[12] Let C be a nonempty closed convex subset of a uniformly convex and 2- uniformly smooth Banach space E which admits a weakly sequentially continuous duality mapping. Let A: C → E be an α-inverse strongly ...
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Heat stress assessment according to the wet-bulb globe temperature (WBGT) index among workers of a steel mill in 2014
... furnace operator, lift operator, ruffing operator, wrench operator, rolling work operator, scissors operator, lathe operator, hydraulic jack operator, packing ...
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