Keyword: Hilbert space

Found 29 papers in total
Generalized Krasnoselskii‐Mann-type iterations for nonexpansive mappings in Hilbert spaces
Generalized Krasnoselskii‐Mann-type iterations for nonexpansive mappings in Hilbert spaces
2017,
The Krasnoselskii–Mann iteration plays an important role in the approximation of...
The existence of zeros of set-valued mappings in reflexive Banach spaces
The existence of zeros of set-valued mappings in reflexive Banach spaces
2014,
In this paper, we establish the equivalence between the existence of zeros for...
A Note on Estimation in Hilbertian Linear Models
A Note on Estimation in Hilbertian Linear Models
2015,
We study estimation and prediction in linear models where the response and the...
The Proximal Point Algorithm Revisited
The Proximal Point Algorithm Revisited
2014,
In this paper, we consider the proximal point algorithm for the problem of finding...
Nonsmooth Steepest Descent Method by Proximal Subdifferentials in Hilbert Spaces
Nonsmooth Steepest Descent Method by Proximal Subdifferentials in Hilbert Spaces
2014,
In this paper, we first study a nonsmooth steepest descent method for nonsmooth...
On Finite Convergence of Iterative Methods for Variational Inequalities in Hilbert Spaces
On Finite Convergence of Iterative Methods for Variational Inequalities in Hilbert Spaces
2014,
In a Hilbert space, we study the finite termination of iterative methods for solving a...
A Simpler Explicit Iterative Algorithm for a Class of Variational Inequalities in Hilbert Spaces
A Simpler Explicit Iterative Algorithm for a Class of Variational Inequalities in Hilbert Spaces
2014,
In the present paper, we propose a simpler explicit iterative algorithm for finding a...
Spectral Convex Functions of Operators and Approximate Intertwining Relationships
Spectral Convex Functions of Operators and Approximate Intertwining Relationships
2014,
We develop theoretical tools for the analysis of convex spectral functions of...
A Cyclic Douglas–Rachford Iteration Scheme
A Cyclic Douglas–Rachford Iteration Scheme
2014,
In this paper, we present two Douglas–Rachford inspired iteration schemes which...
Halpern’s type iterations with perturbations in Hilbert spaces: equilibrium solutions and fixed points
Halpern’s type iterations with perturbations in Hilbert spaces: equilibrium solutions and fixed points
2013,
In this paper, we consider an iteration process of Halpern’s type for finding a...
Strong convergence theorem for nonexpansive semigroups and systems of equilibrium problems
Strong convergence theorem for nonexpansive semigroups and systems of equilibrium problems
2013,
Our purpose in this paper is to prove strong convergence theorem for finding a common...
On the hybrid projection method for fixed point and equilibrium problems
On the hybrid projection method for fixed point and equilibrium problems
2013,
In this paper, fixed point and equilibrium problems are considered based on a hybrid...
Exact null controllability of semilinear evolution systems
Exact null controllability of semilinear evolution systems
2013,
We study the exact null controllability for the abstract evolution equations in...
A new resolvent algorithm for solving a class of variational inclusions
A new resolvent algorithm for solving a class of variational inclusions
2012,
In this paper, a new resolvent algorithm, which consists of a resolvent operator...
Strong Convergence Theorems for Maximal and Inverse‐Strongly Monotone Mappings in Hilbert Spaces and Applications
Strong Convergence Theorems for Maximal and Inverse‐Strongly Monotone Mappings in Hilbert Spaces and Applications
2013,
In this paper, we prove two strong convergence theorems for finding a common point of...
Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems
Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems
2011,
In this paper, we present an iterative algorithm for finding a common element of the...
Strong convergence of a proximal point algorithm with bounded error sequence
Strong convergence of a proximal point algorithm with bounded error sequence
2013,
Given any maximal monotone operator A : D ( A ) ⊂ H → 2 H in a real Hilbert space H...
Convergence theorems for nonspreading mappings and nonexpansive multivalued mappings and equilibrium problems
Convergence theorems for nonspreading mappings and nonexpansive multivalued mappings and equilibrium problems
2013,
In this paper, we introduce some new iterative sequences for finding a common element...
Approximating the Stieltjes integral via a weighted trapezoidal rule with applications
Approximating the Stieltjes integral via a weighted trapezoidal rule with applications
2013,
In this paper we provide sharp error bounds in approximating the weighted...
A three point quadrature rule for functions of bounded variation and applications
A three point quadrature rule for functions of bounded variation and applications
2013,
A three point quadrature rule approximating the Riemann integral for a function of...
Quasi‐Newton methods in infinite‐dimensional spaces and application to matrix equations
Quasi‐Newton methods in infinite‐dimensional spaces and application to matrix equations
2011,
In the first part of this paper, we give a survey on convergence rates analysis of...
A new system of generalized quasi‐variational‐like inclusion in Hilbert spaces
A new system of generalized quasi‐variational‐like inclusion in Hilbert spaces
2010,
In this paper, we consider a new system of generalized...
The viscosity approximation process for quasi‐nonexpansive mappings in Hilbert spaces
The viscosity approximation process for quasi‐nonexpansive mappings in Hilbert spaces
2010,
In this paper, we discuss the strong convergence of the viscosity approximation...
A Weak‐to‐Strong Convergence Principle for Fejér‐Monotone Methods in Hilbert Spaces
A Weak‐to‐Strong Convergence Principle for Fejér‐Monotone Methods in Hilbert Spaces
2001,
We consider a wide class of iterative methods arising in numerical mathematics and...
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