A new concept of (\(\alpha ,F_d\))-contraction on quasi metric space
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Authors
Ishak Altun
- College of Science, King Saud University, Riyadh, Saudi Arabia.
- Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey.
Nasir Al Arifi
- Geology and Geophysics Department, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia.
Mohamed Jleli
- Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia.
Aref Lashin
- Petroleum and Gas Engineering Department, College of Engineering, King Saud University, P. O. Box 800, Riyadh 11421, Saudi Arabia.
- Geology Department, Faculty of Science, Benha University, P. O. Box 13518, Benha, Egypt.
Bessem Samet
- Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia.
Abstract
In the present paper, we introduce a new concept of (\(\alpha ,F_d\))-contraction on quasi metric space. Then we
provide some new fixed point theorems for such type mappings on left K, left M and left Smyth-complete
quasi metric spaces.
Share and Cite
ISRP Style
Ishak Altun, Nasir Al Arifi, Mohamed Jleli, Aref Lashin, Bessem Samet, A new concept of (\(\alpha ,F_d\))-contraction on quasi metric space, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 3354--3361
AMA Style
Altun Ishak, Al Arifi Nasir, Jleli Mohamed, Lashin Aref, Samet Bessem, A new concept of (\(\alpha ,F_d\))-contraction on quasi metric space. J. Nonlinear Sci. Appl. (2016); 9(5):3354--3361
Chicago/Turabian Style
Altun, Ishak, Al Arifi, Nasir, Jleli, Mohamed, Lashin, Aref, Samet, Bessem. "A new concept of (\(\alpha ,F_d\))-contraction on quasi metric space." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 3354--3361
Keywords
- Quasi metric space
- left K-Cauchy sequence
- left K-completeness
- fixed point.
MSC
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