Well-posedness for generalized quasi-variational inclusion problems and for optimization problems with constraints

San Hua Wang; Nan Jing Huang; Donal O'Regan

doi:10.1007/s10898-012-9980-6

Well-posedness for generalized quasi-variational inclusion problems and for optimization problems with constraints

San Hua Wang
, Nan Jing Huang
, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

11 Citations (Scopus)

Abstract

In this paper, well-posedness of generalized quasi-variational inclusion problems and of optimization problems with generalized quasi-variational inclusion problems as constraints is introduced and studied. Some metric characterizations of well-posedness for generalized quasi-variational inclusion problems and for optimization problems with generalized quasi-variational inclusion problems as constraints are given. The equivalence between the well-posedness of generalized quasi-variational inclusion problems and the existence of solutions of generalized quasi-variational inclusion problems is given under suitable conditions.

Original language	English
Pages (from-to)	189-208
Number of pages	20
Journal	Journal of Global Optimization
Volume	55
Issue number	1
DOIs	https://doi.org/10.1007/s10898-012-9980-6
Publication status	Published - Jan 2013

Keywords

Approximating solution sequence
Generalized quasi-variational inclusion problem
Metric characterization
Optimization problem with constraint
Well-posedness

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10.1007/s10898-012-9980-6

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KW - Approximating solution sequence

KW - Generalized quasi-variational inclusion problem

KW - Metric characterization

KW - Optimization problem with constraint

KW - Well-posedness

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Well-posedness for generalized quasi-variational inclusion problems and for optimization problems with constraints

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Keywords

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