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Fixed point results for multivalued contractions on ordered gauge spaces

Gabriela Petruşel — 2009

Open Mathematics

The purpose of this article is to present fixed point results for multivalued E ≤-contractions on ordered complete gauge space. Our theorems generalize and extend some recent results given in M. Frigon [7], S. Reich [12], I.A. Rus and A. Petruşel [15] and I.A. Rus et al. [16].

Existence and data dependence of fixed points and strict fixed points for contractive-type multivalued operators.

Chifu, Cristian; Sel, Gabriela Petruşel — 2007

Fixed Point Theory and Applications [electronic only]

Fixed point theorems for set-valued Y-contractions

Ioan A. Rus; Adrian Petruşel; Gabriela Petruşel — 2007

Banach Center Publications

The purpose of this paper is to present several fixed point theorems for the so-called set-valued Y-contractions. Set-valued Y-contractions in ordered metric spaces, set-valued graphic contractions, set-valued contractions outside a bounded set and set-valued operators on a metric space with cyclic representations are considered.

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Fixed point results for multivalued contractions on ordered gauge spaces

Existence and data dependence of fixed points and strict fixed points for contractive-type multivalued operators.

Fixed point theorems for set-valued Y-contractions

Fixed-point results for generalized contractions on ordered gauge spaces with applications.

Well-posedness and fractals via fixed point theory.

The theory of Reich's fixed point theorem for multivalued operators.