Nonlinear (m, p)-Isometric And (2, p)-Concave Mappings on Complex Normed Spaces

Ould Beiba, El Moctar; Al-Ahmadi, Aydah Mohammed Ayed

doi:10.28924/2291-8639-18-2020-194

Research Article

Nonlinear (m, p)-Isometric And (2, p)-Concave Mappings on Complex Normed Spaces

El Moctar Ould Beiba¹
Aydah Mohammed Ayed Al-Ahmadi²*

Faculty of Sciences and Techniques., University of Nouakchott Al Aasriya,
Jouf university

* Corresponding author

Abstract

Let $ S$ be a self mapping on a complex normed space ${\mathcal X}$. In this paper, we study the class of mappings satisfying the following condition

$$ \sum_{0\leq k \leq m}(-1)^{m-k}\binom{m}{k}\big\|S^kx-S^ky\big\|^p=0,$$

for all $x,y\in X$, where $m$ is a positive integer. We prove some of the properties of these classes of mappings.

How to Cite

E. M. Ould Beiba, A. M. A. Al-Ahmadi, Nonlinear (m, p)-Isometric And (2, p)-Concave Mappings on Complex Normed Spaces, Int. J. Anal. Appl. 18 (2020), 194–211. https://doi.org/10.28924/2291-8639-18-2020-194

BibTeX

@article{Beiba2020,
  author  = {Ould Beiba, El Moctar and Al-Ahmadi, Aydah Mohammed Ayed},
  title   = {Nonlinear (m, p)-Isometric And (2, p)-Concave Mappings on Complex Normed Spaces},
  journal = {Int. J. Anal. Appl.},
  volume  = {18},
  year    = {2020},
  pages   = {194--211},
  doi     = {10.28924/2291-8639-18-2020-194}
}

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