Jahn J, Khan AA (2002)
Publication Type: Journal article, Original article
Publication year: 2002
Publisher: Taylor & Francis: STM, Behavioural Science and Public Health Titles / Taylor & Francis
Book Volume: 23
Pages Range: 807-831
Necessary and sufficient optimality conditions are given for various optimality notions in set-valued optimization. These optimality conditions are given by employing the generalized contingent epiderivative and the weak contingent epiderivative of the objective set-valued map and the set-valued map defining the constraints. The known Lagrange multiplier rule and the so-called Zowe-Kurcyusz-Robinson (cf. Robinson, S.M. Stability Theory for Systems of Inequalities. II, Differentiable Nonlinear Systems. SIAM J. Numer. Anal. 1976, 13, 497-513. Zowe, J.; Kurcyusz, S. Regularity and Stability for the Mathematical Programming Problem in Banach spaces, Appl. Math. Optim 1979, 5, 49-62.) regularity condition are extended using these differentiability notions.
APA:
Jahn, J., & Khan, A.A. (2002). Generalized contingent epiderivatives in set-valued optimization: optimality conditions. Numerical Functional Analysis and Optimization, 23, 807-831. https://dx.doi.org/10.1081/NFA-120016271
MLA:
Jahn, Johannes, and Akhtar Ali Khan. "Generalized contingent epiderivatives in set-valued optimization: optimality conditions." Numerical Functional Analysis and Optimization 23 (2002): 807-831.
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