Linear regularity, equirregularity, and intersection mappings for convex semi-infinite inequality systems
In this paper, we introduce the concepts of linear regularity and equirregularity for an arbitary family of set-valued mappings between (extended) metric spaces. The concept of linear regularity is inspired in the same property for a family of sets. Then we analyze the relationship between the (metr...
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| Veröffentlicht in: | Mathematical programming 2010-05, Vol.123 (1), p.33-60 |
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| creator | Cánovas, M. J. Gómez-Senent, F. J. Parra, J. |
| description | In this paper, we introduce the concepts of linear regularity and equirregularity for an arbitary family of set-valued mappings between (extended) metric spaces. The concept of linear regularity is inspired in the same property for a family of sets. Then we analyze the relationship between the (metric) regularity moduli of the mappings in the family and the modulus of the associated intersection mapping. We are particularly concerned with the solution set of a system of infinitely many convex inequalities. Our framework allows for right hand side perturbations as well as for linear perturbations of the left hand side of all the inequalities. |
| doi_str_mv | 10.1007/s10107-009-0312-7 |
| format | Article |
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| subjects | Applied sciences Calculus of variations and optimal control Calculus of Variations and Optimal Control Optimization Combinatorics Exact sciences and technology Full Length Paper Inequality Mathematical analysis Mathematical and Computational Physics Mathematical Methods in Physics Mathematical programming Mathematics Mathematics and Statistics Mathematics of Computing Neighborhoods Numerical Analysis Operational research and scientific management Operational research. Management science Sciences and techniques of general use Studies Theoretical |
| title | Linear regularity, equirregularity, and intersection mappings for convex semi-infinite inequality systems |
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