A fixed point approach to the Hyers-Ulam stability of an AQ functional equation in probabilistic modular spaces

In this paper, we prove the Hyers-Ulam stability in\beta-homogeneous probabilistic modular spaces via fixed point method for the functional equation\[f(x+ky)+f(x-ky)=f(x+y)+f(x-y)+\frac{۲(k+۱)}{k}f(ky)-۲(k+۱)f(y)\]for fixed integers k with k\neq ۰,\pm۱.

Keywords:

Hyers-Ulam stability , AQ functional Equation , Fixed point , Probabilistic Modular Space

Authors

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Department of Mathematics, Urmia University, Urmia, Iran

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Department of Mathematics, Urmia University, Urmia, Iran

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Department of Mathematics, Urmia University, Urmia, Iran

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Institute of Research and Development of Processes University of Basque Country Campus of Leioa (Bizkaia) - Aptdo. ۶۴۴- Bilbao, ۴۸۰۸۰- Bilbao, Spain

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Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan ۳۵۱۹۵-۳۶۳, Iran

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https://civilica.com/doc/1562036

شناسه ملی سند علمی:

JR_IJNAA-4-2_010

تاریخ نمایه سازی: 11 آذر 1401

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