MMN-3383

Existence and convergence of fixed point for a G-non-Lipschitzian mapping

  • Sajan Aggarwal, Jamia Millia Islamia, Department of Mathematics, 110025, New Delhi, India, aggarwal.maths1993@gmail.com
  • Izhar Uddin, Jamia Millia Islamia, Department of Mathematics, 110025, New Delhi, India, izharuddin1@jmi.ac.in
  • Juan J. Nieto, Departamento de Estatistica, Analise Matematica e Optimizacion, Instituto de Matematicas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain, juanjose.nieto.roig@usc.es

Abstract

The existence of a fixed point in uniformly convex hyperbolic metric space endowed with graph of G-nearly asymptotically nonexpansive mapping has been proved. Further, we prove strong and $\Delta-$convergence of $M-$iteration to a fixed point has been proved for the same space and mapping. We also derived corollaries of our results in uniformly convex Banach space which are also independent new findings.


Vol. 23 (2022), No. 1, pp. 29-40
DOI: 10.18514/MMN.2022.3383


Download: MMN-3383