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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

10.1016/0306-4549(95)00060-7

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1573-2916

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Global search perspectives for multiobjective opti

Authors: Alberto Lovison
Publish Date: 2012/06/27
Volume: 57, Issue: 2, Pages: 385-398
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Abstract

Extending the notion of global search to multiobjective optimization is far than straightforward mainly for the reason that one almost always has to deal with infinite Pareto optima and correspondingly infinite optimal values Adopting Stephen Smale’s global analysis framework we highlight the geometrical features of the set of Pareto optima and we are led to consistent notions of global convergence We formulate then a multiobjective version of a celebrated result by Stephens and Baritompa about the necessity of generating everywhere dense sample sequences and describe a globally convergent algorithm in case the Lipschitz constant of the determinant of the Jacobian is known

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Other Papers In This Journal:
  1. On Slater’s condition and finite convergence of the Douglas–Rachford algorithm for solving convex feasibility problems in Euclidean spaces
  2. Iterative algorithms for variational inequality and equilibrium problems with applications
  3. Efficient Nash equilibria on semilattices
  4. Global optimal solutions to a class of quadrinomial minimization problems with one quadratic constraint
  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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