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A coincidence theorem in uniform spaces and applications. (English) Zbl 0754.54029
Goebel’s coincidence theorem in a metric space is generalized to a uniform space. Some applications to the Cauchy problem and the Darboux problem (the author’s “Goursat problem” is in fact the Darboux problem) are given.
##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 47H10 Fixed-point theorems
##### Keywords:
Cauchy problem; Darboux problem