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Duality for optimization problems in Banach algebras

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  • M. Soleimani-damaneh

Abstract

In this paper we consider Mond–Weir type and Wolfe type duals for a general nonsmooth optimization problem in Banach algebras, and establish some duality results in the presence of a new class of functions, which is a generalization of the class of smooth KT-(p, r)-invex functions. Copyright Springer Science+Business Media, LLC. 2012

Suggested Citation

  • M. Soleimani-damaneh, 2012. "Duality for optimization problems in Banach algebras," Journal of Global Optimization, Springer, vol. 54(2), pages 375-388, October.
    • Handle: RePEc:spr:jglopt:v:54:y:2012:i:2:p:375-388
    DOI: 10.1007/s10898-011-9763-5
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    References listed on IDEAS

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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. Mishra, S. K., 2000. "Second order symmetric duality in mathematical programming with F-convexity," European Journal of Operational Research, Elsevier, vol. 127(3), pages 507-518, December.
    3. GOEMANS, Michel X., 1998. "Semidefinite programming and combinatorial optimization," LIDAM Reprints CORE 1347, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. S. K. Mishra & Vinay Singh & Vivek Laha, 2016. "On duality for mathematical programs with vanishing constraints," Annals of Operations Research, Springer, vol. 243(1), pages 249-272, August.
    2. Valeriano Oliveira & Geraldo Silva, 2013. "New optimality conditions for nonsmooth control problems," Journal of Global Optimization, Springer, vol. 57(4), pages 1465-1484, December.

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