- Title
- General lagrange-type functions in constrained global optimization part I : Auxiliary functions and optimality conditions
- Creator
- Evtushenko, Yu G.; Rubinov, Alex; Zhadan, V. G.
- Date
- 2001
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/35706
- Identifier
- vital:274
- Identifier
-
https://doi.org/10.1080/10556780108805836
- Identifier
- ISSN:1055-6788
- Abstract
- The paper contains some new results and a survey of some known results related to auxiliary (Lagrange-type) functions in constrained optimization. We show that auxiliary functions can be constructed by means of two-step convolution of constraints and the objective function and present some conditions providing the validity of the zero duality gap property. We show that auxiliary functions are closely related to the so-called separation functions in the image space of the constrained problem under consideration. The second part of the paper (see Evtushenko et al., General Lagrange-type functions in constrained global optimization. Part II: Exact Auxiliary functions. Optimization Methods and Software) contains results related to exact auxiliary functions. © 2001 OPA (Overseas Publishers Association) N.V. Published by license under the Gordon and Breach Science Publishers imprint, a member of the Taylor & Francis Group.
- Publisher
- Taylor & Francis Ltd.
- Relation
- Optimization Methods and Software Vol. 16, no. 1-4 (2001), p. 193-230
- Rights
- Copyright Taylor & Francis
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0103 Numerical and Computational Mathematics; Auxiliary function; Constrained optimization; Convolution function; Exact auxiliary function; Separation functions; Zero duality gap
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