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