[PDF] Top 20 Proximal point algorithms for zero points of nonlinear operators
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Proximal point algorithms for zero points of nonlinear operators
... imal point algorithm; for more detail, see [] and the references ...treating zero points of monotone operators; for [–] and the references ...finding zero points of monotone ... See full document
11
Common Zero Points of Two Finite Families of Maximal Monotone Operators via Proximal Point Algorithms
... common points of the solutions set of the system of general- ized mixed equilibrium problems, solutions set of the variational inequal- ity for an inverse-strongly monotone operator, common fixed points set ... See full document
27
A modified Mann iteration for zero points of accretive operators
... finding zero points of accretive oper- ...accretive operators stems mainly from their firm connection with equa- tions of evolution, and this is an important class of nonlinear ... See full document
11
Convergence of splitting algorithms for the sum of two accretive operators with applications
... finding zero points of some nonlinear operators, for instance, evolution equations, complementarity problems, mini-max problems, variational inequalities and optimization problems; see [– ] ... See full document
12
A regularization method for treating zero points of the sum of two monotone operators
... finding zero points of some nonlinear operator, for instance, evolution equations, complementar- ity problems, mini-max problems, variational inequalities and optimization problems; see [–] and the ... See full document
10
A regularization algorithm for zero points of accretive operators
... One of classical methods of studying the problem ∈ Ax, where A ⊂ E × E is an ac- cretive operator, is the proximal point algorithm (PPA) which was initiated by Martinet [] and further developed by ... See full document
9
Super-Relaxed ()-Proximal Point Algorithms, Relaxed ()-Proximal Point Algorithms, Linear Convergence Analysis, and Nonlinear Variational Inclusions
... monotone operators with applications to parallel optimization, Doctoral dissertation, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Mass, USA, ... See full document
47
A regularization algorithm for a common solution of generalized equilibrium problem, fixed point problem and the zero points of the sum of two operators
... fixed point problem and the zero points of the sum of two operators have been studied by many authors ...in nonlinear analysis and optimization ... See full document
23
Hybrid Proximal Point Methods for Zeros of Maximal Monotone Operators, Variational Inequalities and Mixed Equilibrium Problems
... hybrid proximal-point algorithms for finding a common element of the zero point of a maximal monotone operator, the set of solutions of equilibrium problems, and the set of solution of ... See full document
32
Iterative algorithms with errors for zero points of m-accretive operators
... point of T . In an infinite-dimensional Hilbert space, the normal Mann iteration process has only weak convergence, in general, even for nonexpansive mappings. Therefore, many authors try to modify the normal Mann ... See full document
17
Convergence of a proximal point algorithm for maximal monotone operators in Hilbert spaces
... The class of monotone mappings is one of the most important classes of mappings among nonlinear mappings. Within the past several decades, many authors have been devoting to the studies on the existence and ... See full document
10
Modified Proximal point algorithms for finding a zero point of maximal monotone operators, generalized mixed equilibrium problems and variational inequalities
... fixed point set of relatively nonexpansive mappings and the zero point of a maximal monotone operators in a Banach space by using the shrinking hybrid projection ... See full document
21
Some results on an infinite family of accretive operators in a reflexive Banach space
... equilibrium points of the initial value ...accretive operators, due to Browder [], states that the initial value problem is solvable if A is locally Lipschitz and accretive on ...solving zero ... See full document
11
On Over Relaxed Proximal Point Algorithms for Generalized Nonlinear Operator Equation with (A,η,m) Monotonicity Framework
... over-relaxed proximal point algorithms for solving nonlinear operator equations with (A,η,m)-monotonicity framework in Hilbert spaces is introduced and ...(A,η,m)-monotone operators, ... See full document
6
On relaxed and contraction proximal point algorithms in hilbert spaces
... monotone operators is that of finding an element x so that 0 Î ...well-known proximal point algo- rithm (PPA), which generates, for any initial guess, x 0 Î H, an iterative sequence ... See full document
8
Diametrically Contractive Multivalued Mappings
... fixed point theorem for nonself multivalued map- ...fixed point theorem to a selection of a multi- valued mapping with externally hyperconvex values and obtain its unique fixed point on a hyperconvex ... See full document
7
On the Existence and Uniqueness of Holder Solutions of Nonlinear Singular Integral Equations with Carleman Shift
... We make some remarks on Theorem 2.1. The usefulness of this theorem consists in reducing the hard problem of finding fixed points of a nonlinear operator in a Banach space to the simple problem of finding ... See full document
11
Common random fixed point results with application to a system of nonlinear integral equations
... Fixed point theory has the diverse applications in different branches of mathematics, statistic, engineering, economics and many other ...fixed point theory is very important as a stochastic generalizations ... See full document
8
Iterative algorithms for common elements in fixed point sets and zero point sets with applications
... A very common problem in diverse areas of mathematics and physical sciences con- sists of trying to find a point in the intersection of convex sets. This problem is referred to as the convex feasibility problem; ... See full document
14
Fixed point theorems for nonlinear operators with singular perturbations and applications
... singular operators (defined in Section ) and we con- sider the existence and multiplicity of fixed points of some nonlinear operators with sin- gular ... See full document
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