Open Mathematics (Nov 2021)

The concept of cone b-Banach space and fixed point theorems

  • Yang Chen,
  • Zhu Xiaolin

DOI
https://doi.org/10.1515/math-2021-0068
Journal volume & issue
Vol. 19, no. 1
pp. 1187 – 1196

Abstract

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In this article, the concepts of cone b-norm and cone b-Banach space are given. Some new fixed point theorems in cone b-Banach spaces are established. The new results improve some fixed point theorems in cone Banach spaces. Furthermore, we also investigate the uniqueness of fixed points.

Keywords