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Fixed point theorems for weakly commuting and compatible multi-valued mappings

Miczko A., Palczewski B.

Demonstratio Mathematica

2004

Vol. 37, nr 4

803--821

In this paper some common fixed point theorems for single- and multivalued contractive mappings with weak commutativity and compatibility conditions are given. Assumed that single-valued T and S are self-mappings on a generalized (in the sense of Jung [8]) metric space (X,d). Multi-valued mappings F,G : -Cl(X) have values in a space (Cl(X),H) of all nonempty and closed subsets of X, where H is a generalized Hausdorff metric in Cl(X).

Remarks on set valued integrals of multifunctions with non empty bounded closed and convex values

Sambucini A.R.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

1999

[Z] 39

153-165

We study the comparison between the Aumann and the Bochner integrals for integrably non empty bounded closed convex valued multifunctions in a separable Banach space when it is not possible to apply embedding theoremes.

On the openness of a multivalued function. Open discrete multivalued functions

Cristea M.

Demonstratio Mathematica

1998

Vol. 31, nr 2

429-436