ISSN:
1573-2878
Keywords:
complementarity problems
;
strict feasibility
;
quasimonotone maps
;
P0-maps
;
P*-maps
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Strict feasibility plays an important role in the development of the theoryand algorithms of complementarity problems. In this paper, we establishsufficient conditions to ensure strict feasibility of a nonlinearcomplementarity problem. Our analysis method, based on a newly introducedconcept of μ-exceptional sequence, can be viewed as a unified approachfor proving the existence of a strictly feasible point. Some equivalentconditions of strict feasibility are also developed for certaincomplementarity problems. In particular, we show that aP*-complementarity problem is strictly feasible if and only ifits solution set is nonempty and bounded.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1026459501988
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