On the existence of coupled best proximity point and best proximity point for Suzuki type \(\alpha^+-\theta-\)proximal multivalued mappings
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Authors
Haiming Liu
- School of Mathematics, Mudanjiang Normal University, Mudanjiang, 157011, P. R. China.
Xiaoming Fan
- School of Mathematical Sciences, Harbin Normal University, Harbin, 150025, P. R. China.
Lixu Yan
- Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, P. R. China.
Zhigang Wang
- School of Mathematical Sciences, Harbin Normal University, Harbin, 150025, P. R. China.
Abstract
Following the study for the best proximity points of the Suzuki type \(\alpha^+-\theta\)-proximal single-valued mappings given by
Hussain et al., we deal with the Suzuki type \(\alpha^+-\theta\)-proximal multivalued mappings satisfying generalized conditions of existence,
some novel existence results of best proximity point and coupled best proximity points are established. Our results improve and
extend some recent results in the previous work.
Share and Cite
ISRP Style
Haiming Liu, Xiaoming Fan, Lixu Yan, Zhigang Wang, On the existence of coupled best proximity point and best proximity point for Suzuki type \(\alpha^+-\theta-\)proximal multivalued mappings, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1801--1819
AMA Style
Liu Haiming, Fan Xiaoming, Yan Lixu, Wang Zhigang, On the existence of coupled best proximity point and best proximity point for Suzuki type \(\alpha^+-\theta-\)proximal multivalued mappings. J. Nonlinear Sci. Appl. (2017); 10(4):1801--1819
Chicago/Turabian Style
Liu, Haiming, Fan, Xiaoming, Yan, Lixu, Wang, Zhigang. "On the existence of coupled best proximity point and best proximity point for Suzuki type \(\alpha^+-\theta-\)proximal multivalued mappings." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1801--1819
Keywords
- Suzuki type \(\alpha^+-\theta\)-proximal multivalued mappings
- coupled best proximity point
- best proximity point.
MSC
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