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Existence and data dependence of fixed points for multivalued weakly φ-contractive operators

Guran L.

Fasciculi Mathematici

2010

Nr 43

45-52

In this paper we give a data dependence theorem for multivalued weakly φ-contractive operators. Then, we define the concept of ball with respect to w-distance and we present fixed point results for multivalued contractive type operators using this ball.

More maps for which F(T)=F(Tn)

Jeong G., Rhoades B.

Demonstratio Mathematica

2007

Vol. 40, nr 3

671-680

We continue our investigation of situations in which the fixed point sets for maps and their iterates are the same.

Generalized multivalued contractions which are quasi-bounded

Petrusel G.

Demonstratio Mathematica

2007

Vol. 40, nr 3

639-648

The purpose of this note is to study the following problem: which multi- valued generalized contractions are quasi-bounded with the quasi-norm strictly less than 1 ? As consequences, some surjectivity results are given.

Selections and common fixed points for some generalized multivalued contractions

Sintamarian A.

Demonstratio Mathematica

2006

Vol. 39, nr 3

609-617

We show that some generalized multivalued contractions admit selections which are Caristi type mappings. Another purpose of this paper is to give a common fixed point theorem for two multivalued contractive type mappings defined on a closed ball of a complete metric space with values in the set of all nonempty and closed subsets of this space.