AN INERTIAL NEW ITERATION PROCESS IN HILBERT SPACES

Authors

  • Rashmi Verma Department of Applied Mathematics, Shri Shankaracharya Institute of Professional Management and Technology
  • Ho Geun Hyun Department of Mathematics Education, Kyungnam University
  • Samir Dashputre Department of Mathematics, Shahid Durwasha Nishad, Govt. College Arjunda
  • 　 Padmavati Department of Mathematics, Govt. V.Y.T. Autonomous P.G. College

Abstract

In this paper, we prove some convergence theorems for generalized (α, β)-nonexpansive mapping in Hilbert space via new inertial iteration process. Our results generalized and extended the previous result of Iner PNSP (introduced by Samir et al. [11]).Also, we provide an example that numerically compares our new inertial iteration processwith existing iteration processes Iner PNSP.

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Published

2025-08-29

Issue

Volume 30, Number 3, September 2025

Section

Articles