References
- Altman , M. 1970 . A general maximum principle for optimization problems with operator inequalities . Boll. Un. mat. Ital , 2 : 283 – 292 .
- Averbukh , V.I. and Smolyanov , O.G. 1967 . The theory of differentiation in linear topo-logical spaces . Russ. Math. Surveys , 22 : 201 – 258 .
- Averbukh , V.I. and Smolyanov , O.G. 1968 . The various definitions of the derivation in linear topological spaces . Russ. Math, Surveys , 23 : 67 – 113 .
- Bazaraa , M.S. and Goode , J.J. 1973 . Necessary optimality criteria in mathematical programming in normed linear spaces . J. Optim. Theory Appl , 11 : 235 – 244 .
- Bazaraa , M.S. , Goode , J.J. and Nashed , M.Z. 1974 . On the cones of tangents with applications to mathematical programming . J. Optim. Theory Appl , 13 : 389 – 426 .
- Bazaraa , M.S. , Shetty , C.M. , Goode , J.J. and Nashed , M.Z. 1976 . Nonlinear programming without differentiability in Banach spaces:necessary and sufficient constraint qualifications . Appl. Anal , 5 : 165 – 173 .
- Carasso , C. 1973 . L'algorithme d'échange en optimisation convexe Grenoble, , France dissertation
- Das , P.C. 1975 . One-sided directional derivative and applications . Computing , 15 : 53 – 65 .
- Demyanov , V.F. and Rubinov , A.M. 1970 . Approximate Methods in Optimization Problems , Amsterdam,London, New York : Elsevier .
- Dubovitskiy , A.Y. and Milyutin , A.A. 1963 . Extremum problems with constraints . Sov. Math , 4 : 452 – 455 .
- Dubovitskiy , A.Y. and Milyutin , A.A. 1965 . Extremum problems in the presence of restrictions . USSR Comp. Math, and Math. Physics , 5 : 1 – 80 .
- Falb , P.L. and Jacobs , M.Q. 1968 . On differentials in locally convex spaces . J. Diff. Equ , 4 : 444 – 459 .
- Gould , F.J. and Tolle , J.W. 1972 . Geometry of optimality conditions and constraints qualifications . Math. Progr , 2 : 1 – 18 .
- Gould , F.J. and Tolle , J.W. 1975 . Optimality conditions and constraint qualifications in Banach space . J. Optim. Theory Appl , 15 : 667 – 684 .
- Guignard , M. 1969 . Generalized KUHN-TUCKER-conditions for mathematical programming in a Banach space . SIAM Control , 7 : 232 – 241 .
- Halkin , H. 1967 . “ Nonlinear nonconvex programming in an infinite-dimensional space ” . In 'Mathematical Theory of Optimal Control , Edited by: Balakrishnan , A.V. and Neustadt , L.W. 10 – 25 . London, New York : Academic Press .
- Hestenes , M.R. 1966 . Calculus of Variations and Optimal Control Theory , London, , Sydney : Wiley .
- Hoffmann , K.H. and Kolumban , I. 1974 . Verallgemeinerte Differenzierbarkeitsbegriffe und ihre Anwendung in der Optimierungstheorie . Computing , 12 : 17 – 41 .
- Kantorovich , L.V. and Krylov , V.I. 1964 . Approximate Methods of Higher Analysis , Groningen : Interscience .
- Krabs , W. 1975 . Optimierung und Approximation , Stuttgart : Teubner .
- Lempio , F. 1972 . Tangentialmannigfaltigkeiten und infinite Optimierung , Hamburg : Habilitations- schrift .
- Massam , H. and Zlobec , S. 1974 . Various definitions of the derivatives in mathematical programming . Math. Progr , 7 : 144 – 161 .
- Nagahisa , Y. and Sakawa , Y. 1969 . Nonlinear programming in Banach spaces . J. Optim. Theory Appl , 4 : 182 – 190 .
- Nashed , M.Z. 1971 . “ Differentiability and related properties of nonlinear operators:Some aspects of the role of differentials in nonlinear functional analysis ” . In Nonlinear Functional Analysis and Applications , Edited by: Ball , L.B. 103 – 311 . London, New York : Academic Press .
- Neustadt , L.W. 1966 . An abstract variational theory with applications to a broad class of optimization problems:I . General theory. SIAM Control , 4 : 505 – 527 .
- Neustadt , L.W. 1967 . An abstract variational theory with applications to a broad class of optimization problems: II . Applications. SIAM Control , 5 : 90 – 137 .
- Penot , P-J . 1967 . Calcul sous-differentiel et optimisation . J. Funct. Anal , 5 (to appear)
- Pshenichniy , B.N. 1971 . Necessary Conditions for an Extremum , New York : Marcel Dekker .
- Russell , D.L. 1966 . The KUHN-TUCKER-conditions in Banach space with an application to control theory . J. Math. Anal. Appl , 15 : 200 – 212 .
- Sachs , E. 1975 . Differenzierbarkeit in der Optimierungstheorie und Anwendung auf Kontrollprobleme Darmstadt Dissertation
- Schaback , R. 1972 . “ Anwendung der konvexen Optimierung auf Approximationsprobleme und Splinefunktionen ” . In 'Methoden und Verfahren der mathematischen Physik , Vol. 6 , 129 – 153 . Mannheim-Wien-Zürich : Bl-Verlag .
- Schaefer , H.H. 1971 . Topological Vector Spaces , Heidelberg, , Berlin : Springer .
- Singer , L. 1970 . Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces , Heidelberg, , Berlin : Springer .
- Varaiya , P.P. 1967 . Nonlinear programming in Banach space . SIAM Appl. Math , 15 : 284 – 293 .