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Clarke coderivatives of efficient point multifunctions in parametric vector optimization
Authors:Thai Doan Chuong
Institution:
  • Department of Mathematics, Dong Thap University, 783 Pham Huu Lau Road, Cao Lanh City, Dong Thap Province, Viet Nam
  • Abstract:The paper is devoted to the study of the Clarke/circatangent coderivatives of the efficient point multifunction of parametric vector optimization problems in Banach spaces. We provide inner/outer estimates for evaluating the Clarke/circatangent coderivative of this multifunction in a broad class of conventional vector optimization problems in the presence of geometrical, operator and (finite and infinite) functional constraints. Examples are given for analyzing and illustrating the obtained results.
    Keywords:49K40  49J52  90C29  90C31
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