Some Common Fixed Point Results in Rectangular Metric Spaces
Open Access
- 19 March 2013
- journal article
- research article
- Published by Hindawi Limited in International Journal of Analysis
- Vol. 2013, 1-7
- https://doi.org/10.1155/2013/307234
Abstract
We obtain sufficient conditions for the existence of unique common fixed point of-weakly contractive mappings on complete rectangular metric spaces. In the process, we generalize several fixed point results from the literature. We also give an example to illustrate our work.
Keywords
This publication has 8 references indexed in Scilit:
- Fixed points for (ψ,φ)-weakly contractive mappings in generalized metric spacesApplied Mathematics Letters, 2012
- Common fixed points in generalized metric spacesApplied Mathematics and Computation, 2012
- CONTRACTIONS OVER GENERALIZED METRIC SPACESJournal of Nonlinear Sciences and Applications, 2009
- Fixed point of contractive mappings in generalized metric spacesMathematica Slovaca, 2009
- ON KANNAN FIXED POINT PRINCIPLE IN GENERALIZED METRIC SPACESJournal of Nonlinear Sciences and Applications, 2009
- Banach contraction principle on cone rectangular metric spacesApplicable Analysis and Discrete Mathematics, 2009
- KANNAN FIXED POINT THEOREM ON GENERALIZED METRIC SPACESJournal of Nonlinear Sciences and Applications, 2008
- A fixed point theorem of Banach--Caccioppoli type on a class of generalized metric spacesPublicationes Mathematicae Debrecen, 2000