A generalized \(\theta\)-contraction and related fixed point theorems
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Authors
Mohamed Jleli
- Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia.
Bessem Samet
- Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia.
Abstract
We introduce two types of generalized \(\theta\)-contraction mappings in complete metric spaces. For each type, we study the existence of fixed points. The obtained results in this paper generalize several existing fixed point theorems in the literature. We end this work with some open questions.
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ISRP Style
Mohamed Jleli, Bessem Samet, A generalized \(\theta\)-contraction and related fixed point theorems, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 4724--4733
AMA Style
Jleli Mohamed, Samet Bessem, A generalized \(\theta\)-contraction and related fixed point theorems. J. Nonlinear Sci. Appl. (2017); 10(9):4724--4733
Chicago/Turabian Style
Jleli, Mohamed, Samet, Bessem. "A generalized \(\theta\)-contraction and related fixed point theorems." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 4724--4733
Keywords
- Fixed point
- generalized \(\theta\)-contraction of type (I)
- generalized \(\theta\)-contraction of type (II)
- partial order
- \(\theta\)-cyclic contraction.
MSC
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