ON OPTIMALITY OF GENERALIZED OPTIMIZATION PROBLEMS ASSOCIATED WITH OPERATOR AND EXISTENCE OF (Tη; ξθ)-INVEX FUNCTIONS

DOI10.7858/EAMJ.2017.009zbMath1379.52009OpenAlexW2606337228MaRDI QIDQ4593290

Prasanta Kumar Das

Publication date: 22 November 2017

Published in: East Asian mathematical journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7858/eamj.2017.009

zbMATH Keywords

strong duality theoremweak duality theoremsufficient optimality theoremgeneralized optimization problems\((PDA)\)-operator\((T_\eta\(PDA\)-vector function and \(PDA\)-antisymmetric function\xi_\theta)\)-invexity of first and second kind

Mathematics Subject Classification ID

Convex programming (90C25) Variational inequalities (49J40) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions in one variable, generalizations (26A51) Numerical methods for mathematical programming, optimization and variational techniques (65Kxx)

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