×

A fixed point theorem for multi-valued mappings in ordered Banach spaces with applications. I. (English) Zbl 1120.47046

Some fixed point theorems for condensing multivalued mappings are proved in ordered Banach space. In the last section, the results are used for proving the existence of solutions of an integral inclusion.

MSC:

47H10 Fixed-point theorems
47H04 Set-valued operators
47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47N20 Applications of operator theory to differential and integral equations
PDFBibTeX XMLCite