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Regularity and stability for the mathematical programming problem in Banach spaces. (English) Zbl 0401.90104

MSC:
90C48 Programming in abstract spaces
46B99 Normed linear spaces and Banach spaces; Banach lattices
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[5] Krein, M. G., and Rutman, M.: Linear operators leaving invariant a cone in a Banach space,Uspehi Mat. Nauk. SSSR, 3, 3-95 (1948). · Zbl 0030.12902
[6] Kurcyusz, S.: On the existence and nonexistence of Lagrange multipliers in Banach spaces,Journal of Optimization Theory and Applications, 20, 81-110 (1976). · Zbl 0309.49010 · doi:10.1007/BF00933349
[7] Robinson, S. M.: Normed convex processes,Transactions of the American Mathematical Society, 174, 127-140 (1972). · doi:10.1090/S0002-9947-1972-0313769-9
[8] Robinson, S. M.: Stability theory for systems of inequalities in nonlinear programming, part II: differentiable nonlinear systems,SIAM Journal of Numerical Analysis, 13, 497-513 (1976). · Zbl 0347.90050 · doi:10.1137/0713043
[9] Schaefer, H. H.:Topological vector spaces, MacMillan, New York, 1966. · Zbl 0141.30503
[10] Zowe, J.: A remark on a regularity assumption for the mathematical problem in Banach spaces,Journal of Optimization Theory and Applications, 25 (1978). · Zbl 0362.90113
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