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Some fixed point theorems for single-valued and multi-valued countably condensing weakly uniform isotone mappings. (English) Zbl 1083.47042

The authors introduce weakly uniformly isotone mappings and prove a common fixed point theorem for a pair of mappings in Banach spaces. They prove an existence theorem for common solutions of two nonlinear differential equations in Banach spaces.

MSC:

47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
47H04 Set-valued operators
47N20 Applications of operator theory to differential and integral equations
34G20 Nonlinear differential equations in abstract spaces
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