Convergence Theorem for Nonexpansive Semigroups in \(q\)-Uniformly Smooth Banach Spaces

Authors

  • Uamporn Witthayarat Department of Mathematics, School of Science, University of Phayao, Phayao 56000
  • Kriengsak Wattanawitoon Department of Mathematics and Statistics, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Tak, Tak 63000, Thailand; 3RMUTL-TAK Mathematics and Statistics Research Center, Rajamangala University of Technology Lanna Tak, Tak 63000, Thailand

DOI:

https://doi.org/10.26713/cma.v10i2.1080

Keywords:

Nonexpansive semigroup, \(q\)-uniformly smooth, Banach space

Abstract

In this paper, we present the iterative scheme nonexpansive semigroups in the framework of \(q\)-uniformly smooth and uniformly convex Banach spaces. Furthermore, we propose the strong convergence theorem for finding fixed points problem of nonexpansive semigroups under some appropriate conditions. Our results extend the recent ones of some authors.

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References

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Published

30-06-2019
CITATION

How to Cite

Witthayarat, U., & Wattanawitoon, K. (2019). Convergence Theorem for Nonexpansive Semigroups in \(q\)-Uniformly Smooth Banach Spaces. Communications in Mathematics and Applications, 10(2), 295–307. https://doi.org/10.26713/cma.v10i2.1080

Issue

Vol. 10 No. 2 (2019)

Section

Research Article

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