Coupled Fixed Point Theorems under Weak Contractions
Open Access
- 1 January 2012
- journal article
- research article
- Published by Wiley in Discrete Dynamics in Nature and Society
- Vol. 2012 (1)
Abstract
Cho et al. [Comput. Math. Appl. 61(2011), 1254–1260] studied common fixed point theorems on cone metric spaces by using the concept of c‐distance. In this paper, we prove some coupled fixed point theorems in ordered cone metric spaces by using the concept of c‐distance in cone metric spaces.Keywords
Funding Information
- National Research Foundation (2011–0021821)
- Ministry of Education, Science and Technology (2011–0021821)
This publication has 23 references indexed in Scilit:
- Generalization of fixed point theorems in ordered metric spaces concerning generalized distanceFixed Point Theory and Applications, 2011
- On cone metric spaces: A surveyNonlinear Analysis, 2011
- Common fixed point theorems on generalized distance in ordered cone metric spacesComputers & Mathematics with Applications, 2011
- Ordered cone metric spaces and fixed point resultsComputers & Mathematics with Applications, 2010
- Fixed point theory in cone metric spaces obtained via the scalarization methodComputers & Mathematics with Applications, 2010
- Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spacesComputers & Mathematics with Applications, 2010
- Fixed and periodic point results in cone metric spacesApplied Mathematics Letters, 2009
- Common fixed points for maps on cone metric spaceJournal of Mathematical Analysis and Applications, 2008
- Common fixed point results for noncommuting mappings without continuity in cone metric spacesJournal of Mathematical Analysis and Applications, 2008
- Cone metric spaces and fixed point theorems of contractive mappingsJournal of Mathematical Analysis and Applications, 2007