Nonlinear functional analysis and its applications
Nonlinear functional analysis and its applications
Generalized monotone bifunctions and equilibrium problems
Journal of Optimization Theory and Applications
Vector equilibrium problems with generalized monotone bifunctions
Journal of Optimization Theory and Applications
Existence of a solution and variational principles for vector equilibrium problems
Journal of Optimization Theory and Applications
On Generalized Vector Equilibrium Problems
Journal of Global Optimization
A note on stability for parametric equilibrium problems
Operations Research Letters
Journal of Global Optimization
Journal of Global Optimization
Some regularities for parametric equilibrium problems
Journal of Global Optimization
Continuity of solution maps of parametric quasiequilibrium problems
Journal of Global Optimization
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Multivalued equilibrium problems in general metric spaces are considered. Uniqueness and Hölder continuity of the solution are established under Hölder continuity and relaxed Hölder-related monotonicity assumptions. The assumptions appear to be weaker and the inclusion to be properly stronger than that of the recent results in the literature. Furthermore, our theorems include completely some known results for variational inequalities in Hilbert spaces, which were demonstrated via geometrical techniques based on the orthogonal projection in Hilbert spaces and the linearity of the canonical pair $$\langle .,.\rangle$$ .