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Gregus type fixed points for a tangential multi-valued mappings satisfying contractive conditions of integral type. (English) Zbl 1288.54044
The authors generalize the so-called tangential property of four single-valued mappings to that of two single-valued and two multi-valued mappings, supported by a simple example. An existence theorem is proved for a common fixed point of Greguš type of four mappings having this type of generalized tangential property and satisfying a general contractive condition. This theorem is shown to generalize several previously obtained fixed point results.

MSC:
54H25Fixed-point and coincidence theorems in topological spaces
54C60Set-valued maps (general topology)
54E40Special maps on metric spaces
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