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

Volume 9, Issue 6, pp 4754--4771 http://dx.doi.org/10.22436/jnsa.009.06.113

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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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Keywords

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

MSC

•  47H09
•  54H25

References

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