Noncompact Equilibrium Points and Applications

Noncompact Equilibrium Points and Applications

Noncooperative games with noncompact joint strategies sets: Increasing best responses and approximation to equilibrium points

In this paper conditions proposed in Flores-Hernández and Montes-de-Oca [3] which permit to obtain monotone minimizers of unbounded optimization problems on Euclidean spaces are adapted in suitable versions to study noncooperative games on Euclidean spaces with noncompact sets of feasible joint strategies in order to obtain increasing optimal best responses for each player. Moreover, in this no...

Strong Vector Equilibrium Problems on Noncompact Sets

In this paper, by using the famous Brouwer fixed point theorem, some existence theorems of strong efficient solutions for the strong vector equilibrium problems are obtained on noncompact sets of general real Hausdorff topological vector spaces without assuming that the dual of the ordering cone has a weak∗ compact base. Moreover, the closeness and the convexity of the strong efficient solution...

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

Coupled fixed points of generalized Kanann contraction and its applications

The purpose of this paper is to find of the theoretical results of fixed point theorems for a mixed monotone mapping in a metric space endowed with partially order by using the generalized Kanann type contractivity of assumption. Also, as an application, we prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic bou...