Ekeland’s principle for vector equilibrium problems
In this paper, the authors deal with bifunctions defined on complete metric spaces and with values in locally convex spaces ordered by closed convex cones. The aim is to provide a vector version of Ekeland’s theorem related to equilibrium problems. To prove this principle, a weak notion of continuit...
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| Veröffentlicht in: | Nonlinear analysis 2007-04, Vol.66 (7), p.1454-1464 |
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| container_title | Nonlinear analysis |
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| creator | Bianchi, M. Kassay, G. Pini, R. |
| description | In this paper, the authors deal with bifunctions defined on complete metric spaces and with values in locally convex spaces ordered by closed convex cones. The aim is to provide a vector version of Ekeland’s theorem related to equilibrium problems. To prove this principle, a weak notion of continuity of a vector-valued function is considered, and some of its properties are presented. Via the vector Ekeland’s principle, existence results for vector equilibria are proved in both compact and noncompact domains. |
| doi_str_mv | 10.1016/j.na.2006.02.003 |
| format | Article |
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| ispartof | Nonlinear analysis, 2007-04, Vol.66 (7), p.1454-1464 |
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| subjects | Calculus of variations and optimal control Ekeland’s principle Exact sciences and technology Global analysis, analysis on manifolds Mathematical analysis Mathematics Quasi lower semicontinuity Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Vector equilibrium problem |
| title | Ekeland’s principle for vector equilibrium problems |
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