Strong convergence of the one step implicit iteration for $\alpha$-demicontractive mappings

Apurva Kumar Das; Shailesh Dhar Diwan

doi:10.26637/MJM0604/0016

Abstract

A new class of demicontractivity called $\alpha$-demicontractivity is introduced by L. Maruster and S. Maruster [6] in which they proved strong convergence theorem using Mann iteration process in Hilbert space. In this paper, we have introduced one step implicit iteration process for $\alpha$-demicontractive mapping and proved strong convergence theorem in Hilbert space.

Keywords:

Fixed point, Strong convergence, One step implicit iteration, α-Demicontractive mapping, Hilbert space

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Apurva Kumar Das Department of Mathematics, Government Polytechnic, Sukma, Chhattisgarh-494111, India.
Shailesh Dhar Diwan Department of Mathematics, Government Polytechnic, Sukma, Chhattisgarh-494111, India.

Pages: 807-810
Date Published: 01-10-2018
Vol. 6 No. 04 (2018): Malaya Journal of Matematik (MJM)

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