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Coincidence and common fixed points for generalized multivalued nonexpansive relative maps. (English) Zbl 1163.47046
The author proves that a pair of reciprocally continuous and nonvacuously compatible single-valued and multivalued maps on a normed space satisfying a generalized nonexpansive condition (too complicated to be reproduced here) possesses a coincidence. As applications, common fixed point and coincidence point results are established.

MSC:
47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H40 Random nonlinear operators
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