Vector optimization using improvement sets in locally convex spaces

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ABBASI MALEK; REZAEI MAHBOUBEH

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Journal: MATHEMATICAL SCIENCES Year:2018 | Volume:12 | Issue:3 Page(s): 171-176

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Title

Vector optimization using improvement sets in locally convex spaces

Author(s)

ABBASI MALEK | REZAEI MAHBOUBEH | Issue Writer Certificate

Keywords

Vector optimization

Improvement sets

KKM theorem

Painleve´

-Kuratowski set-convergence

Abstract

This paper aims to study vector optimization through improvement sets in locally convex spaces. This investigation could be viewed as an extension of the work of Lalitha and Chatterjee (J Optim Theory Appl 166: 825– 843, 2015) who studied an open problem on stability posed by Chicco et al., in normed linear spaces. This paper also establishes some existence results for this kind of vector optimization using the celebrated KKM theorem (or Fan’ s Lemma, which is more common in the literature). Some examples illustrating the advantage of this work than that of Lalitha and Chatterjee (2015) are included too.

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APA: Copy

ABBASI, MALEK, & REZAEI, MAHBOUBEH. (2018). Vector optimization using improvement sets in locally convex spaces. MATHEMATICAL SCIENCES, 12(3), 171-176. SID. https://sid.ir/paper/322698/en

Vancouver: Copy

ABBASI MALEK, REZAEI MAHBOUBEH. Vector optimization using improvement sets in locally convex spaces. MATHEMATICAL SCIENCES[Internet]. 2018;12(3):171-176. Available from: https://sid.ir/paper/322698/en

IEEE: Copy

MALEK ABBASI, and MAHBOUBEH REZAEI, “Vector optimization using improvement sets in locally convex spaces,” MATHEMATICAL SCIENCES, vol. 12, no. 3, pp. 171–176, 2018, [Online]. Available: https://sid.ir/paper/322698/en

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