This paper provides some theorems of the alternative for non-linear functions (sublinearconvex) between topological vector spaces.

It is wen known that alternative theorems for both hnear and nontinear functions have been used in linear and nonlinear programming.

Nonlinear alternative theorems and nondifferentiable programming / by V. Jeyakumar ; ISBN: 086839047X ; Series: Research report (University of Melbourne. Dept. of ...

Numerous mathematical-programming applications, including many introduced in previous chapters, are cast naturally as linear programs.

Duality theorems, properties of the dual function, and both differentiable and nondifferentiable methods for solving the dual problem are discussed. We also ...

Mar 13, 2023 · This note presents a unified theorem of the alternative that explicitly allows for any combination of equality, componentwise inequality, weak.

We can apply duality theory of linear programs to prove statements that don't mention linear programming at all! Here's an example.

This paper deals with some new generalizations of Farkas' theorem for a class of set-valued mappings with arbitrary convex cones in infinite-dimensional ...

Aside from some easy preliminary results which do not depend on convexity-- namely, a weak duality theorem and an alternative characterization of a con-.

Missing: alternative nondifferentiable