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.


54C65 Selections in general topology
47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
Full Text: DOI


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