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Common fixed point theorems for weakly compatible quasi contraction mappings
- Source :
- Acta Mathematica Hungarica. 113:257-267
- Publication Year :
- 2006
- Publisher :
- Springer Science and Business Media LLC, 2006.
-
Abstract
- Recently, Pathak [13] has made an extension of the notion of compatibility to weak compatibility, and extended the coincidence theorem for compatible mappings in Kaneko and Sessa [11] to weakly compatible mappings [13]. In the present paper, we define a new class of weakly compatible mappings (Definition 4) and prove some common fixed point theorems for these mappings, which satisfy Condition (2) below. Although our main theorem is formulated for weakly compatible mappings, its corresponding formulation for commutative mappings is also a new result, thus presenting a generalization of some theorems of Fisher, Das and Naik, Khan and Kubiaczyk, Reich, Ciric and Rhoades and Watson.
Details
- ISSN :
- 15882632 and 02365294
- Volume :
- 113
- Database :
- OpenAIRE
- Journal :
- Acta Mathematica Hungarica
- Accession number :
- edsair.doi...........f0c8fc56baab44a79e5a28b027528a36