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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:

54H25 Fixed-point and coincidence theorems (topological aspects)
54C60 Set-valued maps in general topology
54E40 Special maps on metric spaces
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