[PDF] Top 20 The modified proximal point algorithm in Hadamard spaces
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The modified proximal point algorithm in Hadamard spaces
... linear spaces such as Euclidean spaces,Hilbert spaces and Ba- nach spaces to the setting of manifolds ...the spaces with nonlinearity play a crucial role in the branch of analysis and ... See full document
10
Graph-convergent analysis of over-relaxed (A,η,m)-proximal point iterative methods with errors for general nonlinear operator equations
... In this paper, we introduce and study a new class of over-relaxed (A, η , m)-proximal point iterative methods with errors for solving general nonlinear operator equations in Hilbert spaces. By using ... See full document
13
An Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone Operators and Maximal Monotone Operators in Banach Spaces
... In this paper, motivated by the idea of extragradient method 7, Kamimura et al. 4, and Iiduka and Takahashi 6, we introduce the iterative scheme 3.1 for finding a common element of the set of zero of a maximal monotone ... See full document
16
Best proximity point results for modified Suzuki α-ψ-proximal contractions
... In this paper, we introduce a modified Suzuki α - ψ -proximal contraction. Then we establish certain best proximity point theorems for such proximal contractions in metric spaces. As an ... See full document
16
Hybrid Approximate Proximal Point Algorithms for Variational Inequalities in Banach Spaces
... where J : E → E ∗ is the normalized duality mapping on E and Π C : E → C is the generalized projection operator which assigns to an arbitrary point x ∈ E the minimum point of the functional φy, x x 2 − 2x, ... See full document
17
Strong and Weak Convergence of the Modified Proximal Point Algorithms in Hilbert Space
... Rochafellar’s proximal point algorithm ...a modified proximal point algorithm by an additional projection at each step of ... See full document
11
Regularization Inertial Proximal Point Algorithm for Monotone Hemicontinuous Mapping and Inverse Strongly Monotone Mappings in Hilbert Spaces
... inertial proximal algorithm was proposed by Alvarez 7 in the context of convex ...this algorithm for variational inequalities; Moudafi and Elisabeth 10 studied the algorithm by using ... See full document
10
Best proximity point theorems for Fρ-proximal contraction in modular function spaces
... proximity point results are the ones that provide sufficient conditions for the existence of a best proximity point and algorithms for finding best proximity points (see Definition ...proximity point ... See full document
19
Modified Proximal point algorithms for finding a zero point of maximal monotone operators, generalized mixed equilibrium problems and variational inequalities
... saddle point problems, variational inequality problems, minimization problems, optimization problems, variational inequality problems, vector equilibrium problems, Nash equilibria in noncooperative ...fixed ... See full document
21
Best proximity point results for modified α-proximal C-contraction mappings
... proximity point theorems for such kind of mappings in metric ...proximity point theorems in metric spaces endowed with a graph and in partially ordered metric ...fixed point results to ... See full document
16
Hybrid Proximal Point Methods for Zeros of Maximal Monotone Operators, Variational Inequalities and Mixed Equilibrium Problems
... of modified 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 ... See full document
32
Approximate Proximal Point Algorithms for Finding Zeroes of Maximal Monotone Operators in Hilbert Spaces
... ideal form of the algorithm is often impractical since, in many cases, solving the problem 1.6 exactly is either impossible or as difficult as the original problem 1.5. Therefore, one of the most interesting and ... See full document
10
Proximal point algorithms involving fixed points of nonexpansive mappings in \(\operatorname{CAT}(0)\) spaces
... linear spaces such as Euclidean spaces, Hilbert spaces and Banach spaces to the setting of manifolds ...the spaces with nonlinearity play a crucial role in the branch of analysis and ... See full document
13
A modified viscosity implicit type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces
... implicit-type proximal point algorithm for approximating a common solution of a monotone inclusion problem and a fixed point problem for an asymptotically nonexpansive mapping in ... See full document
14
Iterative Approaches to Find Zeros of Maximal Monotone Operators by Hybrid Approximate Proximal Point Methods
... inexact proximal point method ...to modified approximate proximal point algorithms in Hilbert spaces; that is, they established strong and weak convergence theorems for ... See full document
18
Δ-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces
... modified proximal point algorithm for common fixed points in a CAT(0) space for different classes of generalized nonexpansive mappings including a total asymptotically nonexpansive mapping, a ... See full document
19
Convergence of a proximal point algorithm for maximal monotone operators in Hilbert spaces
... ciple, proximal-point algorithm and descent framework for solving variational inequal- ities and related optimization problems (see [1-32] and the references ...The proximal point ... See full document
10
A proximal point algorithm for zeros of monotone operators
... Huang, Strong convergence theorems for fixed point problems and generalized equilibrium problems of three relatively quasi-nonexpansive mappings in Banach spaces, J.. Zhou, Approximate p[r] ... See full document
7
On relaxed and contraction proximal point algorithms in hilbert spaces
... We know that an operator T : H ® H is called (i) nonexpansive if ||Tx - Ty|| ≤ || x - y|| ∀x,y Î H; and (ii) firmly nonexpansive if 〈Tx - Ty, x - y〉 ≥ ||Tx - Ty|| 2 ∀x,y Î H. Denote by Fix(T) = {x Î H : x = Tx} the fixed ... See full document
8
Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces
... regularization proximal point algorithm to solve the pro- blem of finding a common fixed point of a finite family of nonexpansive self-mappings in a uniformly convex and uniformly smooth ... See full document
10
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