MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
An iterative approximation of fixed points of strictly pseudocontractive mappings in Banach spaces
Yekini Shehu

Abstract

We prove strong convergence of an iterative scheme for approximation of fixed point of $\lambda$-strict pseudocontractive mapping in a uniformly smooth real Banach space (which is not necessarily uniformly convex). We apply our result to approximation of common fixed point of a finite family of strictly pseudocontractive mappings. Our result extends the results of Li and Yao [M. Li, Y. Yao, Strong convergence of an iterative algorithm for $\lambda$-strictly pseudocontractive mappings in Hilbert spaces, An. St. Univ. Ovidius Constanta 18 (2010), 219-228] and complements other new interesting results in the literature.

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Keywords: Strong convergence; strictly pseudocontractive mappings; uniformly smooth Banach spaces; uniformly convex Banach spaces.

MSC: 47H06, 47H09, 47J05, 47J25

Pages:  79--91     

Volume  67 ,  Issue  2 ,  2015