Abstract
Let Cā be the set of smooth maps u from X to Y, where X and Y are open smooth manifolds of dimension n and m respectively (for our purposes we shall take Y = Rm). Let Ī be an open convex cone in Rm with non empty interior, \(\bar \Lambda \) its closure, āĪ its boundary.
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References
Marzollo, A., Pascoletti, A., Serafini, P.: Use of differential techniques for cone domination problems, in āNew trends in dynamic system theory and economicsā (Aoki, M. and Marzollo, A. eds.), Academic Press, 1978
Golubitski, M., Guillemin,V.: Stable mappings and their singularities, Springer 1973
Simon, C.P., Titus, C.: Characterization of optima in smooth Pareto economic systems, Journal of Mathematical Economics, 2(1975), pp. 297ā330
Levine, H.I.: Singularities of differentiable mappings, in āProceedings of Liver pool syngularities symposiumā, Springer 1971, pp. 1-89
Smale, S.: Global analysis and economics I: Pareto optima and a generalization of Morse theory, in āDynamical Systemsā (Peixoto, M. ed.), Academic Press, 1973
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Marzollo, A., Pascoletti, A., Serafini, P. (1978). Genericity and Singularities in Vector Optimization. In: Mohler, R.R., Ruberti, A. (eds) Recent Developments in Variable Structure Systems, Economics and Biology. Lecture Notes in Economics and Mathematical Systems, vol 162. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45509-4_14
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DOI: https://doi.org/10.1007/978-3-642-45509-4_14
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