Fixed point results for generalized \(\Theta\)-contractions
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Authors
Jamshaid Ahmad
- Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia.
Abdullah E. Al-Mazrooei
- Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia.
Yeol Je Cho
- Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Korea.
- Center for General Education, China Medical University, Taichung 40402, Taiwan.
Young-Oh Yang
- Department of Mathematics, Jeju National University, Jeju 690-756, Korea.
Abstract
The aim of this paper is to extend the result of [M. Jleli, B. Samet, J. Inequal. Appl., 2014 (2014), 8 pages] by applying
a simple condition on the function \(\Theta\). With this condition, we also prove some fixed point theorems for Suzuki-Berinde type
\(\Theta\)-contractions which generalize various results of literature. Finally, we give one example to illustrate the main results in this
paper.
Share and Cite
ISRP Style
Jamshaid Ahmad, Abdullah E. Al-Mazrooei, Yeol Je Cho, Young-Oh Yang, Fixed point results for generalized \(\Theta\)-contractions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2350--2358
AMA Style
Ahmad Jamshaid, Al-Mazrooei Abdullah E., Cho Yeol Je, Yang Young-Oh, Fixed point results for generalized \(\Theta\)-contractions. J. Nonlinear Sci. Appl. (2017); 10(5):2350--2358
Chicago/Turabian Style
Ahmad, Jamshaid, Al-Mazrooei, Abdullah E., Cho, Yeol Je, Yang, Young-Oh. "Fixed point results for generalized \(\Theta\)-contractions." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2350--2358
Keywords
- Complete metric space
- \(\Theta\)-contraction
- Suzuki-Berinde type \(\Theta\)-contraction
- fixed point.
MSC
References
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