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Duality for optimization problems in Banach algebras

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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.

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  1. School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Enghelab Avenue, Tehran, Iran

    M. Soleimani-damaneh

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  1. M. Soleimani-damaneh
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Soleimani-damaneh, M. Duality for optimization problems in Banach algebras. J Glob Optim 54, 375–388 (2012). https://doi.org/10.1007/s10898-011-9763-5

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  • DOI: https://doi.org/10.1007/s10898-011-9763-5

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