Best proximity and coupled best proximity results for Suzuki type proximal multivalued mappings

Volume 9, Issue 6, pp 4754--4771
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Authors

Xuelian Xu - School of Mathematical Sciences, Harbin Normal University, Harbin, 150025, P. R. China. Xiaoming Fan - School of Mathematical Sciences, Harbin Normal University, Harbin, 150025, P. R. China. Haiming Liu - School of Mathematics, Mudanjiang Normal University, Mudanjiang, 157011, P. R. China.

Abstract

We extend and generalize the best proximity results for Suzuki type $\alpha^+-\psi$-proximal single valued mappings given by Hussain et al. Some novel best proximity results and coupled best proximity results are presented for Suzuki type $\alpha^+-\psi$-proximal multivalued mappings satisfying generalized conditions of existence.

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ISRP Style

Xuelian Xu, Xiaoming Fan, Haiming Liu, Best proximity and coupled best proximity results for Suzuki type proximal multivalued mappings, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4754--4771

AMA Style

Xu Xuelian, Fan Xiaoming, Liu Haiming, Best proximity and coupled best proximity results for Suzuki type proximal multivalued mappings. J. Nonlinear Sci. Appl. (2016); 9(6):4754--4771

Chicago/Turabian Style

Xu, Xuelian, Fan, Xiaoming, Liu, Haiming. "Best proximity and coupled best proximity results for Suzuki type proximal multivalued mappings." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4754--4771

Keywords

• Suzuki type $\alpha^+-\psi$-proximal multivalued mappings
• coupled best proximity point
• best proximity point.

•  47H09
•  54H25

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