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Publication
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| Research Title |
SOME FIXED POINT THEOREMS IN MODULAR METRIC SPACES |
| Date of Distribution |
7 July 2017 |
| Conference |
| Title of the Conference |
The 10th Anniversary Conference on Nonlinear Analysis and Convex Analysis |
| Organiser |
The International Research Working Group in Nonlinear Analysis and Convex Analysis, Shibaura Institute of Technology, Japan |
| Conference Place |
Chitose City Cultural Center Hokkaido (Chitose) Japan |
| Province/State |
Hokkaido |
| Conference Date |
4 July 2017 |
| To |
9 July 2017 |
| Proceeding Paper |
| Volume |
- |
| Issue |
- |
| Page |
- |
| Editors/edition/publisher |
Yokohama Publishers |
| Abstract |
Mongkolkeha et al. [3] proved two fixed point theorems in modular metric spaces.
Unfortunately there are many gaps in their proofs reported in [2, 4, 1]. In the
erratum of Mongkolkeha et al. [4], there remains some misleading concept. Abdou
and Khamsi [1] gave some corrections with the regularity assumption. In this talk,
we present three fixed point theorems in modular metric spaces without assuming
the regularity as was the case in Abdou and Khamsi [1].
References
[1] A. N. Abdou and M. A. Khamsi, Fixed point results of pointwise contractions in modular metric spaces, Fixed Point Theory Appl. 2013 (2013), no. 163, 11 pp.
[2] H. Dehghan, Gordji M. Eshaghi and A. Ebadian, Comment on ‘Fixed point theorems for contraction mappings in modular metric spaces, Fixed Point Theory and Applications, doi:10.1186/1687-1812-2011-93, 9 pages’ Fixed Point Theory Appl. 2012 (2012), no. 144, 3pp.
[3] C. Mongkolkeha, W. Sintunavarat and P. Kumam, Fixed point theorems for contraction mappings in modular metric spaces, Fixed Point Theory Appl. 2011 (2011), 9 pp.
[4] C. Mongkolkeha, W. Sintunavarat and P. Kumam, Erratum to Fixed point theorems for contraction mappings in modular metric spaces, Fixed Point Theory Appl. 2011, 2011: 93, Fixed Point Theory Appl. 2012 (2012), 3 pp. |
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| Peer Review Status |
ไม่มีผู้ประเมินอิสระ |
| Level of Conference |
นานาชาติ |
| Type of Proceeding |
Abstract |
| Type of Presentation |
Oral |
| Part of thesis |
false |
| Presentation awarding |
false |
| Attach file |
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| Citation |
0
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Journal Publication
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