On Necessary Optimality Conditions with Higher-Order Complementarity Slackness for Set-Valued Optimization Problems
Sign Up to like & getrecommendations! Published in 2021 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-021-00595-z
Abstract: We aim to establish Karush-Kuhn-Tucker multiplier rules involving higher-order complementarity slackness under Holder metric subregularity. These rules may be in the nonclassical form, i.e., their right-hand side is a supremum expression (instead of zero as… read more here.
Keywords: valued optimization; higher order; set valued; complementarity slackness ... See more keywords
Higher-Order Generalized Radial Epiderivative and Its Applications to Set-Valued Optimization Problems
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0573-x
Abstract: In the paper, we introduce the higher-order generalized radial epiderivative of set-valued maps. Then, its basic properties are studied. Finally, we apply this epiderivative to optimality conditions for set-valued optimization problems. read more here.
Keywords: generalized radial; set valued; radial epiderivative; valued optimization ... See more keywords
Scalarized solutions of set-valued optimization problems and generalized variational-like inequalities
Sign Up to like & getrecommendations! Published in 2017 at "Filomat"
DOI: 10.2298/fil1712953o
Abstract: In this paper by using the scalariation method we introduced the concept of relaxed K-preinvex set-valued maps and obtain some equivalence results of them in terms of normal subdifferential. Also, we consider generalized Minty variational-like… read more here.
Keywords: like inequalities; valued optimization; variational like; set valued ... See more keywords
Optimality Conditions and Dualities for Robust Efficient Solutions of Uncertain Set-Valued Optimization with Set-Order Relations
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11110648
Abstract: In this paper, we introduce a second-order strong subdifferential of set-valued maps, and discuss some properties, such as convexity, sum rule and so on. By the new subdifferential and its properties, we establish a necessary… read more here.
Keywords: problem; robust efficient; set valued; valued optimization ... See more keywords