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Characterizations and applications of generalized invexity and monotonicity in Asplund spaces

Listed author(s):
  • M. Soleimani-damaneh


In this paper, the concepts of invexity, monotonicity, and their generalizations in Asplund spaces are studied. Some characterizations for several kinds of generalized invexity and monotonicity concepts are given, using the properties of Mordukhovich limiting subdifferentials in Asplund spaces; and some applications in mathematical programming are provided. Also, some necessary and sufficient weak Pareto-optimality conditions for a multiple-objective optimization problem are proved. Copyright Sociedad de Estadística e Investigación Operativa 2012

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Article provided by Springer & Sociedad de Estadística e Investigación Operativa in its journal TOP.

Volume (Year): 20 (2012)
Issue (Month): 3 (October)
Pages: 592-613

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Handle: RePEc:spr:topjnl:v:20:y:2012:i:3:p:592-613
DOI: 10.1007/s11750-010-0150-z
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  1. Soleimani-damaneh, M., 2008. "Infinite (semi-infinite) problems to characterize the optimality of nonlinear optimization problems," European Journal of Operational Research, Elsevier, vol. 188(1), pages 49-56, July.
  2. Yang, X. M. & Yang, X. Q. & Teo, K. L., 2005. "Criteria for generalized invex monotonicities," European Journal of Operational Research, Elsevier, vol. 164(1), pages 115-119, July.
  3. Peng, Jian-Wen, 2006. "Criteria for generalized invex monotonicities without Condition C," European Journal of Operational Research, Elsevier, vol. 170(2), pages 667-671, April.
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