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Title of Journal: J Glob Optim

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Abbravation: Journal of Global Optimization

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Springer US

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DOI

10.1006/viro.2002.1419

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1573-2916

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Iterative algorithms for variational inequality an

Authors: Xiaolong Qin Sun Young Cho Shin Min Kang
Publish Date: 2009/11/29
Volume: 48, Issue: 3, Pages: 423-445
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Abstract

In this paper we introduce an iterative method for finding a common element of the set of solutions of equilibrium problems of the set of variational inequalities and of the set of common fixed points of an infinite family of nonexpansive mappings in the framework of real Hilbert spaces Strong convergence of the proposed iterative algorithm is obtained As an application we utilize the main results which improve the corresponding results announced in Chang et al Nonlinear Anal 703307–3319 2009 Colao et al J Math Anal Appl 344340–352 2008 Plubtieng and Punpaeng Appl Math Comput 197548–558 2008 to study the optimization problem

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  1. On Slater’s condition and finite convergence of the Douglas–Rachford algorithm for solving convex feasibility problems in Euclidean spaces
  2. Efficient Nash equilibria on semilattices
  3. Global optimal solutions to a class of quadrinomial minimization problems with one quadratic constraint
  4. Global search perspectives for multiobjective optimization
  5. Necessary optimality conditions for a set-valued fractional extremal programming problem under inclusion constraints
  6. Rigorous filtering using linear relaxations
  7. On the image space analysis for vector quasi-equilibrium problems with a variable ordering relation
  8. Low dimensional simplex evolution: a new heuristic for global optimization
  9. A biased random-key genetic algorithm to maximize the number of accepted lightpaths in WDM optical networks
  10. Variational inclusions problems with applications to Ekeland’s variational principle, fixed point and optimization problems
  11. A branch-and-bound multi-parametric programming approach for non-convex multilevel optimization with polyhedral constraints
  12. Existence and iterative algorithm of solutions for a class of bilevel generalized mixed equilibrium problems in Banach spaces
  13. Vector equilibrium problems with elastic demands and capacity constraints
  14. Stability Index Method for Global Minimization
  15. Dynamic sample budget allocation in model-based optimization
  16. On an elliptic Kirchhoff-type problem depending on two parameters
  17. Some constraint qualifications for quasiconvex vector-valued systems
  18. Optimization methodology assessment for the inlet velocity profile of a hydraulic turbine draft tube: part II—performance evaluation of draft tube model
  19. Global optimization of polynomial-expressed nonlinear optimal control problems with semidefinite programming relaxation
  20. A Lagrangian search method for the P -median problem
  21. Minimum vertex cover in ball graphs through local search
  22. Approximating zeros of monotone operators by proximal point algorithms
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