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Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph
-
Adriana Nicolae
,
Donal O'Regan
Veröffentlicht/Copyright:
2. Mai 2011
Abstract
The purpose of this paper is to present some fixed point results for self-generalized (singlevalued and multivalued) contractions in ordered metric spaces and in metric spaces endowed with a graph. Our theorems generalize and extend some recent results in the literature.
Keywords.: Fixed point; monotone operator; ordered metric space; generalized contraction; multivalued operator
Received: 2010-01-15
Revised: 2010-11-04
Published Online: 2011-05-02
Published in Print: 2011-June
© de Gruyter 2011
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Schlagwörter für diesen Artikel
Fixed point;
monotone operator;
ordered metric space;
generalized contraction;
multivalued operator
Artikel in diesem Heft
- Polynomial approximation of functions in weighted Lebesgue and Smirnov spaces with nonstandard growth
- On the logarithmic summability of Fourier series
- On a relationship between absolutely nonmeasurable functions and Sierpiński–Zygmund functions
- Boundedness of weighted singular integral operators in grand Lebesgue spaces
- A generalization of the Euler beta function and applications
- Normality and shared values concerning differential polynomial
- Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph
- About some geometric characteristics of the generalized Möbius–Listing surfaces
- Variation formulas of solution for a delay differential equation taking into account delay perturbation and the continuous initial condition
- An admissibility for topological degree of variable Besov and Triebel–Lizorkin spaces
- Boundedness of linear operators via atoms on Hardy spaces with non-doubling measures
