### Abstract

By using the fixed point method, we solve the Hyer-Ulam stability of the following quadratic (ρ1; ρ2)-functional inequalities (Formula Presented), where ρ1 and ρ2 are fixed nonzero complex numbers with (Formula Presented) + |ρ2| < 1, and (Formula Presented), where ρ1 and ρ2 are fixed nonzero complex numbers with (Formula Presented) + 2 |ρ2| < 1, in matrix Banach spaces.

Original language | English |
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Pages (from-to) | 952-962 |

Number of pages | 11 |

Journal | Journal of Computational Analysis and Applications |

Volume | 26 |

Issue number | 5 |

State | Published - 2019 Jan 1 |

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### Keywords

- Fixed point
- Hyers-Ulam stability
- Matrix Banach space
- Quadratic (ρ1 ρ2)-functional inequality

### Cite this

*Journal of Computational Analysis and Applications*,

*26*(5), 952-962.

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*Journal of Computational Analysis and Applications*, vol. 26, no. 5, pp. 952-962.

**A fixed point approach to the stability of quadratic (ρ1, ρ2)-functional inequalities in matrix banach spaces.** / Batool, Afshan; Kamran, Tayyab; Park, Choonkil; Shin, Dong Yun.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - A fixed point approach to the stability of quadratic (ρ1, ρ2)-functional inequalities in matrix banach spaces

AU - Batool, Afshan

AU - Kamran, Tayyab

AU - Park, Choonkil

AU - Shin, Dong Yun

PY - 2019/1/1

Y1 - 2019/1/1

N2 - By using the fixed point method, we solve the Hyer-Ulam stability of the following quadratic (ρ1; ρ2)-functional inequalities (Formula Presented), where ρ1 and ρ2 are fixed nonzero complex numbers with (Formula Presented) + |ρ2| < 1, and (Formula Presented), where ρ1 and ρ2 are fixed nonzero complex numbers with (Formula Presented) + 2 |ρ2| < 1, in matrix Banach spaces.

AB - By using the fixed point method, we solve the Hyer-Ulam stability of the following quadratic (ρ1; ρ2)-functional inequalities (Formula Presented), where ρ1 and ρ2 are fixed nonzero complex numbers with (Formula Presented) + |ρ2| < 1, and (Formula Presented), where ρ1 and ρ2 are fixed nonzero complex numbers with (Formula Presented) + 2 |ρ2| < 1, in matrix Banach spaces.

KW - Fixed point

KW - Hyers-Ulam stability

KW - Matrix Banach space

KW - Quadratic (ρ1 ρ2)-functional inequality

UR - http://www.scopus.com/inward/record.url?scp=85045516377&partnerID=8YFLogxK

M3 - Article

VL - 26

SP - 952

EP - 962

JO - Journal of Computational Analysis and Applications

JF - Journal of Computational Analysis and Applications

SN - 1521-1398

IS - 5

ER -