Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces
Tripled fixed points are extensions of the idea of coupled fixed points introduced in a recent paper by Berinde and Borcut, 2011. Here using a separate methodology we extend this result to a triple coincidence point theorem in partially ordered metric spaces. We have defined several concepts pertain...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/329298 |
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| author | Binayak S. Choudhury Erdal Karapınar Amaresh Kundu |
| author_facet | Binayak S. Choudhury Erdal Karapınar Amaresh Kundu |
| author_sort | Binayak S. Choudhury |
| collection | DOAJ |
| description | Tripled fixed points are extensions of the idea of coupled fixed points introduced in a recent paper by Berinde and Borcut, 2011. Here using a separate methodology we extend this result to a triple coincidence point theorem in partially ordered metric spaces. We have defined several concepts pertaining to our results. The main results have several corollaries and an illustrative example. The example shows that the extension proved here is actual and also the main theorem properly contains all its corollaries. |
| format | Article |
| id | doaj-art-4d3c23600df343f68a8a77238bea2d32 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4d3c23600df343f68a8a77238bea2d322025-02-03T05:59:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/329298329298Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric SpacesBinayak S. Choudhury0Erdal Karapınar1Amaresh Kundu2Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah 711103, IndiaDepartment of Mathematics, Atilim University, İncek 06836, Ankara, TurkeyDepartment of Mathematics, Siliguri Institute of Technology, Darjeeling 734009, IndiaTripled fixed points are extensions of the idea of coupled fixed points introduced in a recent paper by Berinde and Borcut, 2011. Here using a separate methodology we extend this result to a triple coincidence point theorem in partially ordered metric spaces. We have defined several concepts pertaining to our results. The main results have several corollaries and an illustrative example. The example shows that the extension proved here is actual and also the main theorem properly contains all its corollaries.http://dx.doi.org/10.1155/2012/329298 |
| spellingShingle | Binayak S. Choudhury Erdal Karapınar Amaresh Kundu Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces |
| title_full | Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces |
| title_fullStr | Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces |
| title_full_unstemmed | Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces |
| title_short | Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces |
| title_sort | tripled coincidence point theorems for nonlinear contractions in partially ordered metric spaces |
| url | http://dx.doi.org/10.1155/2012/329298 |
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