Abstract
Given a nonempty convex subset X of a topological vector space and a real bifunction f defined on X times X, the associated equilibrium problem consists in finding a point x_0 in X such that f(x_0, y) ge 0, for all y in X. A standard condition in equilibrium problems is that the values of f to be nonnegative on the diagonal of X times X. In this paper, we deal with equilibrium problems in which this condition is missing. For this purpose, we will need to consider, besides the function f, another one g: X times X rightarrow mathbb {R}, the two bifunctions being linked by a certain compatibility condition. Applications to variational inequality problems, quasiequilibrium problems and vector equilibrium problems are given.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
