International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 1, Pages 65-81
doi:10.1155/S0161171292000085
Nonsmooth analysis and optimization on partially ordered vector spaces
Thomas W. Reiland
Department of Statistics and Graduate Program in Operations Research, Box 8203, North Carolina State University, Raleigh 27695-8203, NC, USA
Abstract
Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector lattice. Sample applications to the theory of nonsmooth optimization are given.