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

Afshan Batool, Tayyab Kamran, Choonkil Park, Dong Yun Shin

Research output: Contribution to journalArticleResearchpeer-review

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 languageEnglish
Pages (from-to)952-962
Number of pages11
JournalJournal of Computational Analysis and Applications
Volume26
Issue number5
StatePublished - 2019 Jan 1

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Functional Inequalities
Banach spaces
Fixed point
Banach space
Complex number
Fixed Point Method

Keywords

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

Cite this

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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.",
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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.

In: Journal of Computational Analysis and Applications, Vol. 26, No. 5, 01.01.2019, p. 952-962.

Research output: Contribution to journalArticleResearchpeer-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

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