STRONG CONVERGENCE OF FINITE FAMILY OF PSEUDOCONTRACTIVE MAPPINGS BY A NEW IMPLICIT ITERATION

BALWANT SINGH  THAKUR; MOHAMMAD SAEED  KHAN

STRONG CONVERGENCE OF FINITE FAMILY OF PSEUDOCONTRACTIVE MAPPINGS BY A NEW IMPLICIT ITERATION

Authors

BALWANT SINGH THAKUR School of Studies in Mathematics, Pt.Ravishankar Shukla University, Raipur, 492010, India
MOHAMMAD SAEED KHAN Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, PCode 123 AlKhod, Muscat, Sultanate of Oman, Oman

Keywords:

Mann iteration, Kirk iteration, implicit iteration, pseudocontractive mapping, common fixed point

Abstract

In this paper, we propose Mann-Kirk type implicit iteration for a finite family of pseudocontractive mappings, and prove strong convergence of proposed iteration to a common fixed point in Banach spaces. The results in the paper extend and generalize well known corresponding results.