Connectedness of the solution sets in generalized semi-infinite set optimization-Reference-Cited by-同舟云学术

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Connectedness of the solution sets in generalized semi-infinite set optimization

Published:2022-10-25 Issue: Volume: Page:
ISSN:1862-4472
Container-title:Optimization Letters
language:en
Short-container-title:Optim Lett

Author:

Sharma Pradeep Kumar,Lalitha C. S.^ORCID

Funder

UGC Dr. D.S. Kothari Post Doctoral Fellowship

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Business, Management and Accounting (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s11590-022-01943-0.pdf

Reference37 articles.

1. Avriel, M.: Nonlinear programming. Dover Publications Inc, Mineola, NY (2003)

2. Ansari, Q.H., Köbis, E., Sharma, P.K.: Characterizations of multiobjective robustness via oriented distance function and image space analysis. J. Optim. Theory Appl. 181(3), 817–839 (2019)

3. Ansari, Q.H., Köbis, E., Yao, J.-C.: Vector Variational Inequalities and Vector Optimization: Theory and Applications. Springer-Verlag, Berlin, Heidelberg (2018)

4. Ansari, Q.H., Sharma, P.K.: Set Order Relations, Set Optimization, and Ekeland’s Variational Principle. In: Laha V., Maréchal P., Mishra S.K. (eds) Optimization, Variational Analysis and Applications. IFSOVAA 2020. Springer Proceedings in Mathematics & Statistics, vol 355, pp. 103-165. Springer, Singapore (2021)

5. Anh, L.Q., Duoc, P.T., Duong, T.T.T.: Connectedness properties of the efficient sets and the nondominated sets to vector optimization problems. Optim. Lett. (2022). https://doi.org/10.1007/s11590-021-01841-x

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1. Hausdorff continuity of solution maps to equilibrium problems via the oriented distance function;Optimization Letters;2024-02-27

2. Contractibility of the solution sets for set optimization problems;Journal of Nonlinear and Variational Analysis;2024

3. Existence and connectedness of the l-minimal approximate solutions for set optimization problems: an application in generalized multiobjective robustness;The Journal of Analysis;2023-09-08

4. Weak Henig proper solution sets for set optimization problems;Journal of Nonlinear and Variational Analysis;2023

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