Approximating the minimum-norm fixed point of pseudocontractive mappings

H. Zegeye, O. A. Daman

Research output: Contribution to journalArticlepeer-review


We introduce an iterative process which converges strongly to the minimum-norm fixed point of Lipschitzian pseudocontractive mapping. As a consequence, convergence result to the minimum-norm zero of monotone mappings is proved. In addition, applications to convexly constrained linear inverse problems and convex minimization problems are included. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.

Original languageEnglish
Article number1550036
JournalAsian-European Journal of Mathematics
Issue number2
Publication statusPublished - Jun 1 2015

All Science Journal Classification (ASJC) codes

  • General Mathematics


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