Strict Efficiency in Set Optimization Studied with the Set Approach.
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| Title: | Strict Efficiency in Set Optimization Studied with the Set Approach. |
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| Authors: | Ha, Truong Xuan Duc1 (AUTHOR) hatxd@thanglong.edu.vn |
| Source: | Journal of Optimization Theory & Applications. May2025, Vol. 205 Issue 2, p1-20. 20p. |
| Subjects: | Directional derivatives, Subdifferentials, Set-valued maps |
| Abstract: | This paper is devoted to strict efficiency in set optimization studied with the set approach. Strict efficient solutions are defined with respect to the l-type less order relation and the possibly less order relation. Scalar characterization and necessary and/or sufficient conditions for such solutions are obtained. In particular, we establish some conditions expressed in terms of a high-order directional derivative of set-valued maps and the (convex or limiting) subdifferentials, normal cones and coderivatives. Various illustrating examples are presented. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | This paper is devoted to strict efficiency in set optimization studied with the set approach. Strict efficient solutions are defined with respect to the l-type less order relation and the possibly less order relation. Scalar characterization and necessary and/or sufficient conditions for such solutions are obtained. In particular, we establish some conditions expressed in terms of a high-order directional derivative of set-valued maps and the (convex or limiting) subdifferentials, normal cones and coderivatives. Various illustrating examples are presented. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 00223239 |
| DOI: | 10.1007/s10957-025-02617-4 |
