Dhage, B. C. A fixed point theorem for multi-valued mappings in ordered Banach spaces with applications. I. (English) Zbl 1120.47046 Nonlinear Anal. Forum 10, No. 1, 105-126 (2005). 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. Reviewer: Genaro López Acedo (Sevilla) Cited in 2 ReviewsCited in 13 Documents 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 Keywords:measure of noncompactness; fixed point theorem; ordered Banach space PDFBibTeX XMLCite \textit{B. C. Dhage}, Nonlinear Anal. Forum 10, No. 1, 105--126 (2005; Zbl 1120.47046)