On Levitin–Polyak well-posedness and stability in set optimization
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DOI: 10.1007/s11117-021-00849-y
Abstract: In this paper, Levitin–Polyak (in short LP) well-posedness in the set and scalar sense are defined for a set optimization problem and a relationship between them is found. Necessary and sufficiency criteria for the LP… read more here.
Keywords: set optimization; well posedness; levitin polyak;
Levitin–Polyak well-posedness by perturbations of split minimization problems
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DOI: 10.1007/s11784-017-0413-5
Abstract: In this paper, we extend well-posedness notions to the split minimization problem which entails finding a solution of one minimization problem such that its image under a given bounded linear transformation is a solution of… read more here.
Keywords: levitin polyak; minimization problem; minimization; split minimization ... See more keywords
Scalarization of Levitin–Polyak well-posed set optimization problems
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DOI: 10.1080/02331934.2016.1253086
Abstract: Abstract The aim of this paper is to study Levitin–Polyak (LP in short) well-posedness for set optimization problems. We define the global notions of metrically well-setness and metrically LP well-setness and the pointwise notions of… read more here.
Keywords: levitin polyak; well posedness; metrically well; optimization ... See more keywords
Levitin-Polyak well-posedness of completely generalized mixed variational inequalities in reflexive banach spaces
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DOI: 10.5556/j.tkjm.48.2017.2271
Abstract: Let $X$ be a real reflexive Banach space. In this paper, we first introduce the concept of Levitin-Polyak well-posedness of a completely generalized mixed variational inequality in $X$, and establish some characterizations of its Levitin-Polyak… read more here.
Keywords: levitin polyak; well posedness; mixed variational; completely generalized ... See more keywords