Fixed point index computations for multivalued mapping and application to the problem of positive eigenvalues in ordered space

Abstract

In this paper, we present some results on fixed point index calculations for multivalued mappings and apply them to prove the existence of solutions to multivalued equations in ordered space, under flexible conditions for the positive eigenvalue.

Keywords

• multivalued operator
• multivalued mapping
• fixed point index
• eigenvalue
• eigenvector