Fixed point results for multivalued contractions on ordered gauge spaces
Open Access
- 12 August 2009
- journal article
- Published by Walter de Gruyter GmbH in Open Mathematics
- Vol. 7 (3), 520-528
- https://doi.org/10.2478/s11533-009-0027-2
Abstract
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].Keywords
This publication has 7 references indexed in Scilit:
- Monotone Generalized Nonlinear Contractions in Partially Ordered Metric SpacesFixed Point Theory and Applications, 2009
- Coupled fixed point theorems for nonlinear contractions in partially ordered metric spacesNonlinear Analysis, 2008
- Fixed point and continuation results for contractions in metric and gauge spacesPublished by Institute of Mathematics, Polish Academy of Sciences ,2007
- Fixed point theorems for set-valued Y-contractionsPublished by Institute of Mathematics, Polish Academy of Sciences ,2007
- Existence and data dependence of fixed points for multivalued operators on gauge spacesJournal of Mathematical Analysis and Applications, 2005
- Fixed point theorems in ordered 𝐿-spacesProceedings of the American Mathematical Society, 2005
- Fixed Point and Homotopy Results For Generalized Contractive Maps of Reich TypeApplicable Analysis, 2003