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Continuous selection, collectively fixed points and system of coincidence theorems in product topological spaces. (English) Zbl 1117.54032
Summary: Some new continuous selection theorems are proved in noncompact topological spaces. As applications, some new collectively fixed point theorems and coincidence theorems for two families of set-valued mappings defined on product spaces of noncompact topological spaces are obtained under very weak assumptions. These results generalize many known results in the recent literature.
##### MSC:
 54C65 Continuous selections 47H10 Fixed point theorems for nonlinear operators on topological linear spaces 54H25 Fixed-point and coincidence theorems in topological spaces
##### References:
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