GENERALIZED HYERS-ULAM STABILITY OF QUADRATIC FUNCTIONAL INEQUALITY IN MODULAR SPACES AND β-HOMOGENEOUS BANACH SPACES

Abderrahman Baza; Mohamed Rossafi

Nonlinear Functional Analysis and Applications Department of Mathematics Education, Kyungnam University, Korea

ISSN (Print) 1229-1595 ISSN (Online) 2466-0973

GENERALIZED HYERS-ULAM STABILITY OF QUADRATIC FUNCTIONAL INEQUALITY IN MODULAR SPACES AND β-HOMOGENEOUS BANACH SPACES

Authors

Abderrahman Baza Laboratory of Analysis, Geometry and Application, Departement of Mathematics, Ibn Tofail University
Mohamed Rossafi Departement of Mathematics, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University

Abstract

In this work, we investigate the generalized Hyers-Ulam stability of quadratic functional inequality in modular spaces satisfying Δ₂-conditions and Fatou property, and in β-homogeneous Banach spaces.