Matches in SemOpenAlex for { <https://semopenalex.org/work/W2113152015> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2113152015 endingPage "44" @default.
- W2113152015 startingPage "35" @default.
- W2113152015 abstract "Variational inequalities are known to be a very useful tool for formulating and investigating various equilibrium problems arising in mathematical physics, economics, engineering, and operations research (Baiocchi and Capelo, 1984; Facchinei and Pang, 2003; Nagurney, 1999). However, many problems arising in applications possess a special structure of constraints, in which the feasible set K is a box-constrained set. Such VIs extend the usual complementarity problems and are traditionally considered in the case where G satisfies P type properties (Cottle et al., 1992; Facchinei and Pang, 2003; More and Rheinboldt, 1973). These properties yield various existence and uniqueness results for the problem (1) and suggest effective solution methods. However, they seem too restrictive for applications where P0 conditions are used. For such problems, various regularization approaches become very popular, most works in this field being concentrated on the full Browder-Tikhonov regularization, see, e.g. (Cottle et al., 1992; Facchinei and Kanzow, 1999; Facchinei and Pang, 2003; Qi, 1999) and references therein. In this paper, we consider a more general scheme which admits partial regularization of the initial problem since it appears to be sufficient for any auxiliary problem to have a unique solution. More precisely, we employ a minimal number of regularization terms for each problem under consideration and establish sufficient conditions for the convergence of solutions of perturbed problems. Then the perturbed problems become closer to the initial problem. However, even the full regularization method does not guarantee the convergence of the sequence of solutions of perturbed problems to a solution of the initial problem if the cost mapping is not monotone (Facchinei and Kanzow, 1999; Facchinei and Pang, 2003, Sec. 12.2). We first consider the case when the feasible set is bounded and afterwards present some additional conditions which enable us to apply the method in the unbounded case. We describe two rather broad classes of perfectly and non-perfectly competitive economic equilibrium models which are involved in this class of VIs and outline regularization approaches for these problems. In what follows, for a vector x ∈ R, x ≥ 0 (resp., x > 0) means xi ≥ 0 (resp. xi > 0) for all i = 1, . . . , n, and we set R+ = {x ∈ R | x ≥ 0}" @default.
- W2113152015 created "2016-06-24" @default.
- W2113152015 creator A5013288924 @default.
- W2113152015 creator A5019104985 @default.
- W2113152015 creator A5033098810 @default.
- W2113152015 date "2005-01-01" @default.
- W2113152015 modified "2023-09-24" @default.
- W2113152015 title "On a regularization method for variational inequalities with P_0 mappings" @default.
- W2113152015 cites W1497459357 @default.
- W2113152015 cites W1537108755 @default.
- W2113152015 cites W1543439990 @default.
- W2113152015 cites W1551877617 @default.
- W2113152015 cites W1554154521 @default.
- W2113152015 cites W16922673 @default.
- W2113152015 cites W1953994949 @default.
- W2113152015 cites W1987635542 @default.
- W2113152015 cites W1996525234 @default.
- W2113152015 cites W2000151369 @default.
- W2113152015 cites W2008544224 @default.
- W2113152015 cites W2044382581 @default.
- W2113152015 cites W2066630787 @default.
- W2113152015 cites W2090963365 @default.
- W2113152015 cites W2478091498 @default.
- W2113152015 hasPublicationYear "2005" @default.
- W2113152015 type Work @default.
- W2113152015 sameAs 2113152015 @default.
- W2113152015 citedByCount "1" @default.
- W2113152015 crossrefType "journal-article" @default.
- W2113152015 hasAuthorship W2113152015A5013288924 @default.
- W2113152015 hasAuthorship W2113152015A5019104985 @default.
- W2113152015 hasAuthorship W2113152015A5033098810 @default.
- W2113152015 hasConcept C126255220 @default.
- W2113152015 hasConcept C134306372 @default.
- W2113152015 hasConcept C135252773 @default.
- W2113152015 hasConcept C141718189 @default.
- W2113152015 hasConcept C152442038 @default.
- W2113152015 hasConcept C154945302 @default.
- W2113152015 hasConcept C161999928 @default.
- W2113152015 hasConcept C2776135515 @default.
- W2113152015 hasConcept C2777021972 @default.
- W2113152015 hasConcept C27872270 @default.
- W2113152015 hasConcept C28826006 @default.
- W2113152015 hasConcept C33923547 @default.
- W2113152015 hasConcept C41008148 @default.
- W2113152015 hasConceptScore W2113152015C126255220 @default.
- W2113152015 hasConceptScore W2113152015C134306372 @default.
- W2113152015 hasConceptScore W2113152015C135252773 @default.
- W2113152015 hasConceptScore W2113152015C141718189 @default.
- W2113152015 hasConceptScore W2113152015C152442038 @default.
- W2113152015 hasConceptScore W2113152015C154945302 @default.
- W2113152015 hasConceptScore W2113152015C161999928 @default.
- W2113152015 hasConceptScore W2113152015C2776135515 @default.
- W2113152015 hasConceptScore W2113152015C2777021972 @default.
- W2113152015 hasConceptScore W2113152015C27872270 @default.
- W2113152015 hasConceptScore W2113152015C28826006 @default.
- W2113152015 hasConceptScore W2113152015C33923547 @default.
- W2113152015 hasConceptScore W2113152015C41008148 @default.
- W2113152015 hasIssue "1" @default.
- W2113152015 hasLocation W21131520151 @default.
- W2113152015 hasOpenAccess W2113152015 @default.
- W2113152015 hasPrimaryLocation W21131520151 @default.
- W2113152015 hasRelatedWork W1974609925 @default.
- W2113152015 hasRelatedWork W1982897003 @default.
- W2113152015 hasRelatedWork W1999876626 @default.
- W2113152015 hasRelatedWork W2020005245 @default.
- W2113152015 hasRelatedWork W2048483624 @default.
- W2113152015 hasRelatedWork W2049646774 @default.
- W2113152015 hasRelatedWork W2056498853 @default.
- W2113152015 hasRelatedWork W2068631021 @default.
- W2113152015 hasRelatedWork W2073076760 @default.
- W2113152015 hasRelatedWork W2076897083 @default.
- W2113152015 hasRelatedWork W2077745642 @default.
- W2113152015 hasRelatedWork W2127165984 @default.
- W2113152015 hasRelatedWork W2149198107 @default.
- W2113152015 hasRelatedWork W2156489718 @default.
- W2113152015 hasRelatedWork W2339979243 @default.
- W2113152015 hasRelatedWork W2362986165 @default.
- W2113152015 hasRelatedWork W2369822818 @default.
- W2113152015 hasRelatedWork W3033949356 @default.
- W2113152015 hasRelatedWork W84344464 @default.
- W2113152015 hasRelatedWork W2085006271 @default.
- W2113152015 hasVolume "15" @default.
- W2113152015 isParatext "false" @default.
- W2113152015 isRetracted "false" @default.
- W2113152015 magId "2113152015" @default.
- W2113152015 workType "article" @default.