## Qamrul Hasan Ansari, Nasir Hussain, Pradeep Kumar Sharma, Convergence of the solution sets for set optimization problems

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DOI: 10.23952/jnva.6.2022.3.01

Volume 6, Issue 3, 1 June 2022, Pages 165-183

Abstract. In this paper, we present the stability analysis of solution sets for set optimization problems with respect to the set order relation defined by means of Minkowski difference. We introduce the concepts of weak / weak^# locally Lipschitz continuity and the concepts of $ml$-quasiconnectedness and strictly $ml$-quasiconnectedness for set-valued mappings. By using these concepts, we study the Painlevé–Kuratowski convergence of the solution sets for perturbed set optimization problems. Several examples are given to illustrate our results.