Strong convergence of iterative methods by strictly pseudocontractive mappings in Banach spaces
DR Sahu, A Petruşel - Nonlinear Analysis: Theory, Methods & Applications, 2011 - Elsevier
In this paper we deal with fixed point computational problems by strongly convergent
methods involving strictly pseudocontractive mappings in smooth Banach spaces. First, we
prove that the S-iteration process recently introduced by Sahu in [14] converges strongly to a
unique fixed point of a mapping T, where T is κ-strongly pseudocontractive mapping from a
nonempty, closed and convex subset C of a smooth Banach space into itself. It is also shown
that the hybrid steepest descent method converges strongly to a unique solution of a …
methods involving strictly pseudocontractive mappings in smooth Banach spaces. First, we
prove that the S-iteration process recently introduced by Sahu in [14] converges strongly to a
unique fixed point of a mapping T, where T is κ-strongly pseudocontractive mapping from a
nonempty, closed and convex subset C of a smooth Banach space into itself. It is also shown
that the hybrid steepest descent method converges strongly to a unique solution of a …
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