Results 31 to 40 of about 1,574 (118)

Correction Bounds on measures satisfying moment conditions

open access: yes, 2004
The Annals of Applied Probability (2002) 12 1114 ...
Lasserre, Jean B.
core   +1 more source

A strong convergence theorem for equilibrium problems and split feasibility problems in Hilbert spaces

open access: yes, 2014
The main purpose of this paper is to introduce an iterative algorithm for equilibrium problems and split feasibility problems in Hilbert spaces. Under suitable conditions we prove that the sequence converges strongly to a common element of the set of ...
Jinfang Tang, Shih-sen Chang, Fei Yuan
semanticscholar   +1 more source

On ϵ-solutions for robust fractional optimization problems

open access: yes, 2014
We consider ϵ-solutions (approximate solutions) for a fractional optimization problem in the face of data uncertainty. Using robust optimization approach (worst-case approach), we establish optimality theorems and duality theorems for ϵ-solutions for the
Jae Hyoung Lee, G. Lee
semanticscholar   +1 more source

Two Relaxed Inertial Forward–Reflected–Backward Splitting Algorithms With Momentum Terms

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, to solve the monotone inclusion problem consisting of the sum of two monotone operators in Hilbert spaces, we propose and study two modifications of Malitsky–Tam’s forward–reflection–backward splitting methods with double momentum terms. Meanwhile, we consider a relaxed inertial version to expand the range of allowable step sizes.
Binbin Zhang   +3 more
wiley   +1 more source

Kernel-function-based primal-dual interior-point methods for convex quadratic optimization over symmetric cone

open access: yesJournal of Inequalities and Applications, 2014
In this paper, we give a unified computational scheme for the complexity analysis of kernel-function-based primal-dual interior-point methods for convex quadratic optimization over symmetric cone.
Xinzhong Cai   +4 more
semanticscholar   +1 more source

Principles of Extremum and Application to some Problems of Analysis [PDF]

open access: yes, 1998
AMS subject classification: 41A17, 41A50, 49Kxx, 90C25.The aim of this paper is to demonstrate applications of a direct approach to the solution of extremal problems to some concrete problems of classical analysis, calculus of variations and ...
Tikhomirov, V.
core  

Well-Posedness, Conditioning and Regularization of Minimization, Inclusion and Fixed-Point Problems [PDF]

open access: yes, 1998
AMS subject classification: 65K10, 49M07, 90C25, 90C48.Well-posedness, conditioning and regularization of fixed-point problems are studied in connexion with well-posedness, conditioning and Tikhonov regularization of minimization and inclusion problems ...
Lemaire, B.
core  

On the order of the operators in the Douglas-Rachford algorithm

open access: yes, 2015
The Douglas-Rachford algorithm is a popular method for finding zeros of sums of monotone operators. By its definition, the Douglas-Rachford operator is not symmetric with respect to the order of the two operators.
Bauschke, Heinz H., Moursi, Walaa M.
core   +1 more source

The robust isolated calmness of spectral norm regularized convex matrix optimization problems

open access: yesOpen Mathematics
This article aims to provide a series of characterizations of the robust isolated calmness of the Karush-Kuhn-Tucker (KKT) mapping for spectral norm regularized convex optimization problems. By establishing the variational properties of the spectral norm
Yin Ziran, Chen Xiaoyu, Zhang Jihong
doaj   +1 more source

The contraction-proximal point algorithm with square-summable errors

open access: yes, 2013
In this paper, we study the contraction-proximal point algorithm for approximating a zero of a maximal monotone mapping. The norm convergence of such an algorithm has been established under two new conditions.
C. Tian, Fenghui Wang
semanticscholar   +1 more source

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