Approximation of Jensen type reciprocal functional equation using fixed point technique

Beri Venkatachalapathy Senthil Kumar; Abasalt Bodaghi

doi:10.5269/bspm.v38i3.36992

Approximation of Jensen type reciprocal functional equation using fixed point technique

Beri Venkatachalapathy Senthil Kumar C. Abdul Hakeem College of Engineering & Technology Department of Mathematics
Abasalt Bodaghi Islamic Azad University Department of Mathematics http://orcid.org/0000-0003-0358-4518

DOI: https://doi.org/10.5269/bspm.v38i3.36992

Resumen

In this study, we propose a new rational functional equation
Jr((x+y)/2)=2Jr(x)Jr(y)/[Jr(x)+Jr(y)]
and obtain its solution. We also investigate its various stabilities by a fixed point method