Remark on fundamentally non-expansive mappings in hyperbolic spaces

Volume 9, Issue 5, pp 1952--1956 http://dx.doi.org/10.22436/jnsa.009.05.01

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Authors

Cholatis Suanoom - Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand. Chakkrid Klin-eam - Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand.

Abstract

In this paper, we prove some properties of fixed point set of fundamentally non-expansive mappings and derive the existence of fixed point theorems as follows results of Salahifard et al. [H. Salahifard, S. M. Vaezpour, S. Dhompongsa, J. Nonlinear Anal. Optim., 4 (2013), 241-248] in hyperbolic spaces.

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Keywords

• Fixed point set
• fundamentally non-expansive mappings
• \(\triangle\)-closed set
• convex set
• hyperbolic spaces.

MSC

•  47H05
•  47H10
•  47J25

References

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