Fixed point theorems for a class of nonlinear operators in Hilbert spaces and applications. (English) Zbl 1234.49009
Summary: We discuss the existence of fixed points for a class of nonlinear operators by a combination of topological and variational method. The theoretical results are applied to second order dynamic equation with homogeneous Dirichlet boundary conditions.
MSC:
| 49J35 | Existence of solutions for minimax problems |
| 47H10 | Fixed-point theorems |
| 58E30 | Variational principles in infinite-dimensional spaces |
References:
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