Fixed point results for generalized multi-valued contractions

Volume 8, Issue 6, pp 909--918 http://dx.doi.org/10.22436/jnsa.008.06.02

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Authors

Jamshaid Ahmad - Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan. Nawab Hussain - Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia. Abdul Rahim Khan - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia. Akbar Azam - Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.

Abstract

Javahernia et al. [Fixed Point Theory and Applications 2014, 2014:195] introduced the concept of generalized Mizoguchi-Takahashi type contractions and established some common fixed point results for such contractions. In this paper, we define the notion of generalized \(\alpha_*\) Mizoguchi-Takahashi type contractions and obtain some new fixed point results which generalize various results existing in literature. An example is included to show that our results are genuine generalization of the corresponding known results.

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Keywords

• Metric space
• fixed point
• MT-function

MSC

•  47H10
•  54H25

References

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