[PDF] Top 20 Viscosity approximation fixed points for nonexpansive and -accretive operators
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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] ... See full document
10
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
... inverse-strongly accretive operators and solutions of fixed point problems for a nonexpansive semigroup in a Banach space based on a viscosity approximation method by using weak ... See full document
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Iteration scheme for common fixed points of hemicontractive and nonexpansive operators in Banach spaces
... are nonexpansive and uniformly continuous φ -strongly accretive operators, respectively, so are G and G , then x ∗ is the common fixed point of G and G ... See full document
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Strong Convergence of Iterative Schemes for Zeros of Accretive Operators in Reflexive Banach Spaces
... Lemma 4 demiclosedness principle. Let E be a reflexive Banach space having a weakly sequentially continuous duality mapping, C a nonempty closed convex subset of E, and T : C → E a nonexpansive mapping. Then the ... See full document
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Viscosity approximation method with Meir-Keeler contractions for common zero of accretive operators in Banach spaces
... An accretive operator A is said to be maximal accretive if there is no proper accretive extension of A and A is said to be m-accretive if R(I + λA) = E, for all λ > ...is accretive, ... See full document
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Strong Convergence of a New Iteration for a Finite Family of Accretive Operators
... for nonexpansive mappings even in a Hilbert space see ...of accretive operators on a strictly convex Banach space with uniformly G ateaux differentiable norm by using viscosity ... See full document
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Iterative algorithms with errors for zero points of m-accretive operators
... RE: Nonexpansive projections on subsets of Banach ...HK: Viscosity approximation methods for nonexpansive ...A: Viscosity approximation methods for fixed-points ...of ... See full document
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A regularization algorithm for zero points of accretive operators
... Lemma . [] Let E be a real reflexive Banach space with the uniformly Gâteaux differ- entiable norm and the normal structure, and let C be a nonempty closed convex subset of E. Let T : C → C be a nonexpansive ... See full document
9
Approximating zero points of accretive operators with compact domains in general Banach spaces
... a nonexpansive semigroup on C, and let F() be the set of common fixed points of ...sunny nonexpansive retract of C , and a sunny nonexpansive retraction of C onto F ( ) is ...a ... See full document
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General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces
... general viscosity approx- imation processes for nonexpansive mapping, nonexpansive semigroup, and contractive mapping to nonexpansive semigroup and φ-strongly pseudocontractive mapping pseu- ... See full document
12
Viscosity Approximation to Common Fixed Points of Families of Nonexpansive Mappings with Weakly Contractive Mappings
... Corollary 3.2. Let X be a real uniformly convex Banach space which admits a weakly sequentially continuous duality mapping J from X to X ∗ and C a nonempty closed convex subset of X. Suppose that T : C → C is a ... See full document
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Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems
... sunny nonexpansive retract of C if there exists a sunny nonexpansive retraction of C onto ...sunny nonexpansive retraction if and only if the following condition ... See full document
9
Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces
... relatively nonexpansive mappings and Bregman relatively non- expansive mappings are derived under some suitable ...monotone operators, solutions of system of convex minization problems, solutions of system ... See full document
24
The New Viscosity Approximation Methods for Nonexpansive Nonself Mappings
... the fixed points of the nonexpansive nonself-mappings, we introduced two new viscosity approximation methods, and then we prove the iterative sequences defined by above viscosity ... See full document
10
Strong Convergence Theorems for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
... of fixed points of S by FS. There are some methods for approximation of fixed points of a nonexpansive ...the viscosity approximation method for nonexpansive ... See full document
13
Viscosity Approximation Methods for Generalized Mixed Equilibrium Problems and Fixed Points of a Sequence of Nonexpansive Mappings
... The viscosity approximation method is one of the important methods for approximation fixed points of nonexpansive type ...applied viscosity approximation technique ... See full document
15
Approximation of Common Fixed Points of a Countable Family of Relatively Nonexpansive Mappings
... a fixed point of a certain mapping or a common fixed point of a family of ...relatively nonexpansive mappings introduced by Matsushita and Takahashi ...monotone operators see ... See full document
26
Approximation of Fixed Points of Nonexpansive Mappings and Solutions of Variational Inequalities
... It is known that if S is Lipschitz and strongly accretive, then VIS, K has a unique solu- tion. An important problem is how to find a solution of VIS, K whenever it exists. Consid- erable efforts have been devoted ... See full document
12
Approximation of Common Fixed Points of Pointwise Asymptotic Nonexpansive Maps in a Hadamard Space
... asymptotic nonexpansive selfmap on C has a fixed point. Moreover, this fixed point set is closed and ...a fixed point of an asymptotic pointwise nonexpansive ...the fixed point ... See full document
7
Generalized viscosity approximation methods for nonexpansive mappings
... viscosity approximation method. One side, we consider a nonexpansive mapping S with the nonempty fixed point set defined on a nonempty closed convex subset C of a real Hilbert space H and design a new ... See full document
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