Multiplicity of bifurcation points for variational inequalities via Conley index

Multiplicity of Bifurcation Points for Variational Inequalities via Conley Index

where K0 = ⋃ t>0 tK is a closed convex cone. The typical problem one has to face is twofold: (1) find eigenvalues (which is nontrivial, unless K0 is a linear space): (2) ensure that some eigenvalues are bifurcation points (which is not always true, as counterexamples show). Much work has been done in this context; see [11], [15]–[18], [21]–[30], [32]–[34] and the references therein for a more c...

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

Solutions of variational inequalities on fixed points of nonexpansive mappings

n this paper , we propose a generalized iterative method forfinding a common element of the set of fixed points of a singlenonexpannsive mapping and the set of solutions of two variationalinequalities with inverse strongly monotone mappings and strictlypseudo-contractive of Browder-Petryshyn type mapping. Our resultsimprove and extend the results announced by many others.

iterative methods for equilibrium problems, variational inequalities and fixed points

Iterative algorithms for families of variational inequalities fixed points and equilibrium problems