Abstract

We characterize solutions of maximization problems under linear constraints that are positively homogeneous of degree one. Necessary and sufficient conditions are given for functions to arise as solutions of such kind of problems. At the same time, we consider the integration problem of homogeneous differential forms in order to solve the inverse problem.

Author information

Contact details are reproduced from the original publication and may be historical.

Marwan Aloqeili

Dept. of Mathematics, Birzeit University, P. O. Box 14, Birzeit, Palestine

maloqeili@birzeit.edu

Keywords

  • Inverse problem
  • multi-constraint maximization
  • value function
  • homogeneous differential forms
  • integrability

Mathematics Subject Classification

90C45, 49N45

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Suggested citation

N. Masarwah, M. Aloqeili. “Inverse Problem in Convex Optimization with Linear Homogeneous Constraints.” Journal of Convex Analysis 25 (2018), No. 3, 717–736. https://doi.org/10.68381/jca25050

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Published by Heldermann Verlag, 2018. Rights now held by Banach Press.