Some fixed point results of multi-valued nonlinear \(F\)-contractions without the Hausdorff metric

Volume 9, Issue 6, pp 4737--4753 http://dx.doi.org/10.22436/jnsa.009.06.112

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Authors

Zeqing Liu - Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, People's Republic of China. Xue Na - Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, People's Republic of China. Shin Min Kang - Department of Mathematics and the RINS, Gyeongsang National University, Jinju 52828, Korea. Sun Young Cho - Department of Mathematics, Gyeongsang National University, Jinju 52828, Korea.

Abstract

Fixed point results for several multi-valued nonlinear F-contractions without the Hausdorff metric are given and three examples are included. The results obtained in this paper differ from the corresponding results in the literature.

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Keywords

• Multi-valued nonlinear F-contraction
• fixed point
• iterative approximation.

MSC

•  54H25

References

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