Results 71 to 77 of about 140 (77)
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New second-order contingent epiderivatives and set-valued optimization problems
Acta Mathematicae Applicatae Sinica, English Series, 2016A new concept of second-order compound contingent epiderivatives for set-valued maps is introduced, investigated and then compared to the second-order contingent epiderivative, being also employed for proposing new second-order sufficient and necessary optimality conditions for set-valued optimization problems that unify and generalize previous results
Zhu, Sheng-kun, Li, Sheng-jie
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Some remarks on the existence and computation of contingent epiderivatives
Nonlinear Analysis: Theory, Methods & Applications, 2009The author continues the line of research of the paper of \textit{L. Rodriguez-Marin} and \textit{M. Sama}, [J. Math. Anal. Appl. 335, No.~2, 1374--1382 (2007; Zbl 1135.49011)] by considering new situations no studied in the mentioned paper. A variation characterization of \(\tau^{\omega}\)-contigent epiderivatives \textit{L.
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Acta Mathematicae Applicatae Sinica, English Series, 2018
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Zhou, Zhi-ang +2 more
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Zhou, Zhi-ang +2 more
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Optimality Conditions for Vector Equilibrium Problems in Terms of Contingent Epiderivatives
Numerical Functional Analysis and Optimization, 2016ABSTRACTIn this article, we study some important properties of contingent epiderivatives concerning steady functions and a cone with a compact base along with its applications to establish necessary and sufficient optimality conditions for weakly efficient, Henig efficient, globally efficient and superefficient solutions for no constraints and ...
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Asia-Pacific Journal of Operational Research, 2013
This note deals with the optimality conditions of set-valued unconstraint optimization problem in real normed linear spaces. Based upon the concept of contingent epiderivative, the unified necessary and sufficient optimality conditions for global proper efficiency in vector optimization problem involving cone-arcwise connected set-valued mapping are ...
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This note deals with the optimality conditions of set-valued unconstraint optimization problem in real normed linear spaces. Based upon the concept of contingent epiderivative, the unified necessary and sufficient optimality conditions for global proper efficiency in vector optimization problem involving cone-arcwise connected set-valued mapping are ...
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Characterizing Lagrange Multipliers with Set Valued Constraints by Using Contingent Epiderivatives
Bakhtiari, Hassan, Mohebi, Hosseinopenaire +1 more source