Results 21 to 30 of about 1,600 (140)
EURO Journal on Computational Optimization, 2016 We analyze the proximal alternating linearized minimization algorithm (PALM) for solving non-smooth convex minimization problems where the objective function is a sum of a smooth convex function and block separable non-smooth extended real-valued convex ...
Ron Shefi, Marc Teboulle
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Acceleration of the Halpern algorithm to search for a fixed point of a nonexpansive mapping
, 2014 This paper presents an algorithm to accelerate the Halpern fixed point algorithm in a real Hilbert space. To this goal, we first apply the Halpern algorithm to the smooth convex minimization problem, which is an example of a fixed point problem for a ...
Kaito Sakurai, Hideaki Iiduka
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A global method for some class of optimization and control problems
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 9, Page 605-616, 2000., 2000 The problem of maximizing a nonsmooth convex function over an arbitrary set is considered. Based on the optimality condition obtained by Strekalovsky in 1987 an algorithm for solving the problem is proposed. We show that the algorithm can be applied to the nonconvex optimal control problem as well.
R. Enkhbat
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, 2014 In this paper, it is our purpose to introduce an iterative process for the approximation of a common fixed point of a finite family of multi-valued Bregman relatively nonexpansive mappings.
N. Shahzad, H. Zegeye
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A proximal point method for nonsmooth convex optimization problems in Banach spaces
Abstract and Applied Analysis, Volume 2, Issue 1-2, Page 97-120, 1997., 1997 In this paper we show the weak convergence and stability of the proximal point method when applied to the constrained convex optimization problem in uniformly convex and uniformly smooth Banach spaces. In addition, we establish a nonasymptotic estimate of convergence rate of the sequence of functional values for the unconstrained case.
Y. I. Alber, R. S. Burachik, A. N. Iusem
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Strong convergence of a relaxed CQ algorithm for the split feasibility problem
, 2013 The split feasibility problem (SFP) is finding a point in a given closed convex subset of a Hilbert space such that its image under a bounded linear operator belongs to a given closed convex subset of another Hilbert space.
Songnian He, Ziyi Zhao
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General algorithm and sensitivity analysis for variational inequalities
International Journal of Stochastic Analysis, Volume 5, Issue 1, Page 29-41, 1992., 1991 The fixed point technique is used to prove the existence of a solution for a class of variational inequalities related to odd order boundary value problems, and to suggest a general algorithm. We also study the sensitivity analysis for these variational inequalities and complementarity problems using the projection technique.
Muhammad Aslam Noor
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On the spherical convexity of quadratic functions [PDF]
, 2018 In this paper we study the spherical convexity of quadratic functions on spherically convex sets. In particular, conditions characterizing the spherical convexity of quadratic functions on spherical convex sets associated to the positive orthants and ...
Ferreira, O. P., Németh, S. Z.
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Uncontrolled inexact information within bundle methods
EURO Journal on Computational Optimization, 2017 We consider convex non-smooth optimization problems where additional information with uncontrolled accuracy is readily available. It is often the case when the objective function is itself the output of an optimization solver, as for large-scale energy ...
Jérôme Malick +2 more
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Correction Bounds on measures satisfying moment conditions
, 2004 The Annals of Applied Probability (2002) 12 1114 ...
Lasserre, Jean B.
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