Geodesic
Fixed point results for generalized $\Theta$-contractions :
Ahmad, Jamshaid 1   ; Al-Mazrooei, Abdullah E. 1   ; Cho, Yeol Je 2   ; Yang, Young-Oh 3
1 Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia
2 Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Korea;Center for General Education, China Medical University, Taichung 40402, Taiwan
3 Department of Mathematics, Jeju National University, Jeju 690-756, Korea
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 5, p. 2350-2358 Cet article a éte moissonné depuis la source International Scientific Research Publications

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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.

DOI : 10.22436/jnsa.010.05.07
Classification : 46S40, 47H10, 54H25
Keywords: Complete metric space, \(\Theta\)-contraction, Suzuki-Berinde type \(\Theta\)-contraction, fixed point.

Ahmad, Jamshaid  1   ; Al-Mazrooei, Abdullah E.  1   ; Cho, Yeol Je  2   ; Yang, Young-Oh  3

1 Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia
2 Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Korea;Center for General Education, China Medical University, Taichung 40402, Taiwan
3 Department of Mathematics, Jeju National University, Jeju 690-756, Korea 
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Ahmad, Jamshaid; Al-Mazrooei, Abdullah E.; Cho, Yeol Je; Yang, Young-Oh. Fixed point results for generalized \(\Theta\)-contractions. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 5, p. 2350-2358. doi: 10.22436/jnsa.010.05.07

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