MMN-3631

Approximation of Jensen type reciprocal mappings via fixed point technique

  • Hemen Dutta, Department of Mathematics, Gauhati University, Guwahati, 781014 Assam, India, hemen_dutta08@rediffmail.com
  • B. V. Senthil Kumar, Department of Information Technology, University of Technology and Applied Sciences, Nizwa, 611, Oman, senthilkumar@nct.edu.om
  • Khalifa Al-Shaqsi, Department of Information Technology, University of Technology and Applied Sciences, Nizwa, 611, Oman, khalifa.alshaqsi@nct.edu.om

Abstract

In this paper, we solve a new Jensen type m-dimensional multiplicative inverse functional equation and then its various stability problems in the setting of non-negative real numbers and non-Archimedean spaces via fixed point method. The functional equation dealt in this study is linked with the famous relationship between arithmetic and harmonic mean of m values. The role of harmonic mean is very significant in many other fields such as traffic flow theory, industrial engineering, communication system, etc. By inversing the arithmetic mean of reciprocal values, we attain the harmonic mean. This property could be analyzed as an inverse problem via the functional equation dealt in this investigation.


Vol. 23 (2022), No. 2, pp. 607-619
DOI: 10.18514/MMN.2022.3631


Download: MMN-3631