Variational methods in nonlinear problems
Variational Principles for Monotone and Maximal Bifunctions
2000 Mathematics Subject Classification: 49J40, 49J35, 58E30, 47H05We establish variational principles for monotone and maximal bifunctions of Brøndsted-Rockafellar type by using our characterization of bifunction’s maximality in reflexive Banach spaces. As applications, we give an existence result of saddle point for convex-concave function and solve an approximate inclusion governed by a maximal monotone operator.
Variational sum of monotone operators.
Variational theory of set-valued Hammerstein operators in Banach function spaces. The eigenvalue problem
Vector-valued fuzzy multifunctions.
Volterra integral equations associated with a class of nonlinear operators in Hilbert spaces