Solving the Set Equilibrium Problems

Solving the Set Equilibrium Problems

Lower semicontinuity for parametric set-valued vector equilibrium-like problems

A concept of weak $f$-property for a set-valued mapping is introduced‎, ‎and then under some suitable assumptions‎, ‎which do not involve any information‎ ‎about the solution set‎, ‎the lower semicontinuity of the solution mapping to‎ ‎the parametric‎ ‎set-valued vector equilibrium-like problems are derived by using a density result and scalarization method‎, ‎where the‎ ‎constraint set $K$...

Solving hard set covering problems

We propose a new branch-and-bound algorithm to solve hard instances of set covering problems arising from Steiner triple systems.

lower semicontinuity for parametric set-valued vector equilibrium-like problems

a concept of weak $f$-property for a set-valued mapping is introduced‎, ‎and then under some suitable assumptions‎, ‎which do not involve any information‎ ‎about the solution set‎, ‎the lower semicontinuity of the solution mapping to‎ ‎the parametric‎ ‎set-valued vector equilibrium-like problems are derived by using a density result and scalarization method‎, ‎where the‎ ‎constraint set $k$...

Some Methods for Solving Quasi-Equilibrium Problems

Let X be a given nonempty closed convex subset in IR and let f : X×X −→ IR be a given bifunction with f(x, x) = 0 for all x ∈ X. We are interested in the following quasi-equilibrium problem { Find x ∈ K(x) such that f(x, y) ≥ 0 ∀ y ∈ K(x) (QEP ) where K(·) is a multivalued mapping X −→ 2 . When the mapping x −→ K(x) is such that K(x) = X for all x ∈ X, (QEP ) reduces naturally to the equilibriu...