# Fixed point results for generalized $\Theta$-contractions

Volume 10, Issue 5, pp 2350--2358 Publication Date: January 14, 2017
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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.

### Keywords

• Complete metric space
• $\Theta$-contraction
• Suzuki-Berinde type $\Theta$-contraction
• fixed point.

•  46S40
•  47H10
•  54H25

### References

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