Functional inequalities in matrix Banach spaces View Full Text


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Article Info

DATE

2019-03

AUTHORS

Sundas Nawaz, Afshan Batool, Muhammad Arshad Zia, Choonkil Park

ABSTRACT

Using fixed point method, we prove the Hyers–Ulam stability of the following functional inequalities ‖f(x)+f(y)+f(z)‖≤‖f(x+y+z)‖ and ‖f(x)+f(y)+2f(z)‖≤‖2f(x+y2+z)‖ in matrix Banach spaces.

PAGES

28

References to SciGraph publications

  • 2015-08. Functional equations in matrix normed spaces in PROCEEDINGS - MATHEMATICAL SCIENCES
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  • 2006-12. Functional Inequalities Associated with Jordan-von Neumann-Type Additive Functional Equations in JOURNAL OF INEQUALITIES AND APPLICATIONS
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  • 1984-03. Remarks on the stability of functional equations in AEQUATIONES MATHEMATICAE
  • 2018-11. Stability of a quartic functional equation in JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
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    http://scigraph.springernature.com/pub.10.1007/s11784-019-0665-3

    DOI

    http://dx.doi.org/10.1007/s11784-019-0665-3

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1112023710


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