Multiplicity of Bifurcation Points for Variational Inequalities via Conley Index

Bifurcation in a variational problem on a surface with a constraint

We describe a variational problem on a surface under a constraintof geometrical character. Necessary and sufficient conditions for the existence ofbifurcation points are provided. In local coordinates the problem corresponds toa quasilinear elliptic boundary value problem. The problem can be consideredas a physical model for several applications referring to continuum medium andmembranes.

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

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

Approximating fixed points of nonexpansive mappings and solving systems of variational inequalities

‎A new approximation method for the set of common fixed points of‎ ‎nonexpansive mappings and the set of solutions of systems of‎ ‎variational inequalities is introduced and studied‎. ‎Moreover‎, ‎we‎ ‎apply our main result to obtain strong convergence theorem to a‎ ‎common fixed point of a nonexpannsive mapping and solutions of ‎a ‎system of variational inequalities of an inverse strongly mono...

Asymptotical Multiplicity and Some Reversed Variational Inequalities

We are concerned with multiplicity results for solutions of some reversed variational inequalities, in which the inequality is opposite with respect to the classical inequalities introduced by Lions and Stampacchia. The inequalities we study arise from a family (Pω) of elliptic problems of the fourth order when ω tends to ∞. We use two basic tools: the ∇theorems and a theorem about the multipli...