Implicit Function Theorems for Multi-Valued Mappings

  • B. N. Pshenichny
Part of the Ettore Majorana International Science Series book series (EMISS, volume 43)

Abstract

Let us consider three Banach spaces X, Y, Z and operator F : X × YZ. We are interested in the solution of the following equation:
$$F\left( {x,y = 0} \right)$$
(1)
.

Keywords

Banach Space Convex Cone Implicit Function Theorem Convex Analysis Finite Dimension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    B.N. Pshenichny. “Convex analysis and extremal problems”. Moscow, Nauka (1980), (in Russian).Google Scholar
  2. [2]
    T. Rockafellar. “Convex analysis.” Princeton Univ. Press, Princeton NJ (1970).MATHGoogle Scholar
  3. [3]
    B.G. Boltiansky. “The method of marquees in the theory of extremal problems”. Uspekhi matematichskih nauk vol. 3, No. 3 (1975), pp. 1–55 (in Russian).Google Scholar

Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • B. N. Pshenichny
    • 1
  1. 1.V.M. Glushkov Institut of CyberneticsKievUSSR

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