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Duality for non-linear programming in aBanach space

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Summary

A constrained maximization problem in a realBanach space is considered, where the objective function is a non-linear pseudo concave functional and constraints are given bym non linear quasi convex functionals. The optimality conditions and converse duality theorem, given byRitter, have been extended to this class of programming problems.

Zusammenfassung

Die Maximierungsaufgabe in einem reellenBanachraum mit nichtlinearerpseudo konkaver Zielfunktion und endlich vielen nichtlinearen quasi konvexen Nebenbedingungen wird untersucht. Die vonRitter aufgestellten Optimalitätskriterien sowie der Dualitätssatz werden für diese Klasse von Programmen als gültig erkannt.

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Authors and Affiliations

  1. Department of Mathematics, I.I.T. Kanpur, India

    S. Chandra

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  1. S. Chandra
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Vorgel. v.:J. Nitsche.

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Chandra, S. Duality for non-linear programming in aBanach space. Unternehmensforschung Operations Research 13, 291–295 (1969). https://doi.org/10.1007/BF02086617

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  • DOI: https://doi.org/10.1007/BF02086617

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