Gregus type fixed points for a tangential multi-valued mappings satisfying contractive conditions of integral type. (English) Zbl 1288.54044

Sintunavarat, Wutiphol; Kumam, Poom

J. Inequal. Appl. 2011, Paper No. 3, 12 p. (2011).

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.

Reviewer: Neeraj Anant Pande (Nanded)

MSC:

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

Keywords:

common fixed point; weakly compatible mappings; property (E.A.); common property (E.A.), weak tangle point, pair-wise tangential property

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