103 Result(s)
within
Mathematics
Analysis
Mathematics, general
Topology
**hu Li
Article
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Article
Open AccessAn approximation of solutions of variational inequalities
We use a Mann-type iteration scheme and the metric projection operator (the nearest-point projection operator) to approximate the solutions of variational inequalities in uniformly convex and uniformly smooth ...
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Article
Open AccessIterative Approximation to Convex Feasibility Problems in Banach Space
The convex feasibility problem (CFP) of finding a point in the nonempty intersection is considered, where
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Open AccessExistence of Solutions and Convergence of a Multistep Iterative Algorithm for a System of Variational Inclusions with -Accretive Operators
We introduce and study a new system of variational inclusions with -accretive operators, which contains variational inequalities, variat...
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Open AccessApproximation Methods for Common Fixed Points of Mean Nonexpansive Map** in Banach Spaces
Let be a uniformly convex Banach space, and let be a pair ...
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Open AccessComposite Implicit General Iterative Process for a Nonexpansive Semigroup in Hilbert Space
Let be nonempty closed convex subset of real Hilbert space
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Open AccessStrong Convergence of an Iterative Method for Equilibrium Problems and Variational Inequality Problems
We introduce 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 man...
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Open AccessThe Solutions of the Series-Like Iterative Equation with Variable Coefficients
By constructing a structure operator quite different from that ofZhang and Baker (2000) and using the Schauder fixed point theory, the existence and uniqueness of the
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Open AccessConvergence Theorems for the Unique Common Fixed Point of a Pair of Asymptotically Nonexpansive Map**s in Generalized Convex Metric Space
Let be a generalized convex metric space, and let , ...
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Open AccessStrong and Weak Convergence of the Modified Proximal Point Algorithms in Hilbert Space
For a monotone operator , we shall show weak convergence of Rockafellar's proximal point algorithm to some zero of
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Open AccessOn the Convergence for an Iterative Method for Quasivariational Inclusions
We introduce an iterative algorithm for finding a common element of the set of solutions of quasivariational inclusion problems and of the set of fixed points of strict pseudocontractions in the framework Hilb...
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Open AccessA Hybrid Proximal Point Three-Step Algorithm for Nonlinear Set-Valued Quasi-Variational Inclusions System Involving -Accretive Map**s
The main purpose of this paper is to introduce and study a new class of generalized nonlinear set-valued quasi-variational inclusions system involving ...
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Open AccessAn Ishikawa-Hybrid Proximal Point Algorithm for Nonlinear Set-Valued Inclusions Problem Based on -Accretive Framework
A general nonlinear framework for an Ishikawa-hybrid proximal point algorithm using the notion of -accretive is developed. Convergence a...
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Open AccessWeak -Sharp Minima in Vector Optimization Problems
We present a sufficient and necessary condition for weak -sharp minima in infinite-dimensional spaces. Moreover, we develop the characte...
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Open AccessFixed Points and Stability in Nonlinear Equations with Variable Delays
We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction map** principle. We obtain the di...
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Open AccessThe Existence of Maximum and Minimum Solutions to General Variational Inequalities in the Hilbert Lattices
We apply the variational characterization of the metric projection to prove some results about the solvability of general variational inequalities and the existence of maximum and minimum solutions to some gen...
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Open AccessGeneral Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces
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 spaces. The results presented ...
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Open AccessDegree of Convergence of Iterative Algorithms for Boundedly Lipschitzian Strong Pseudocontractions
Let be a nonempty closed convex subset of a real Hilbert space ...
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Open AccessExistence and Stability of Solutions for Implicit Multivalued Vector Equilibrium Problems
A class of implicit multivalued vector equilibrium problems is studied. By using the generalized Fan-Browder fixed point theorem, some existence results of solutions for the implicit multivalued vector equilib...
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Open AccessThe Over-Relaxed -Proximal Point Algorithm for General Nonlinear Mixed Set-Valued Inclusion Framework
The purpose of this paper is (1) a general nonlinear mixed set-valued inclusion framework for the over-relaxed -proximal point algorithm...
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Open AccessSecond-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization
Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results con...
