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Kunze, H. E.; La Torre, D.; Vrscay, E. R.

Contractive multifunctions, fixed point inclusions and iterated multifunction systems. (English) Zbl 1115.47043

J. Math. Anal. Appl. 330, No. 1, 159-173 (2007).
The authors draw some simple consequences from the contraction mapping theorem for set-valued contractions [cf., e.g., H. Covitz and S. B. Nadler, Isr. J. Math. 8, 5–11 (1970; Zbl 0192.59802)] and give an application to an integral inclusion.
Reviewer: Christian Fenske (Gießen)

Cited in 3 Reviews
Cited in 20 Documents

MSC:

47H10 Fixed-point theorems
47H04 Set-valued operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47J25 Iterative procedures involving nonlinear operators
47N99 Miscellaneous applications of operator theory

Keywords:

contractive multifunction; integral inclusion; iterated multifunction system; iterated function system; optimisation

Citations:

Zbl 0192.59802
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\textit{H. E. Kunze} et al., J. Math. Anal. Appl. 330, No. 1, 159--173 (2007; Zbl 1115.47043)
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