A new concept of (\(\alpha ,F_d\))-contraction on quasi metric space

Volume 9, Issue 5, pp 3354--3361 http://dx.doi.org/10.22436/jnsa.009.05.121

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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.

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Keywords

• Quasi metric space
• left K-Cauchy sequence
• left K-completeness
• fixed point.

MSC

•  54H25
•  47H10.

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