Convergence theorems for asymptotically pseudocontractive mappings in the intermediate sense

H. Zegeye, M. Robdera, B. Choudhary

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In this paper, we prove a strong convergence of Ishikawa scheme to a uniformly L-Lipschitzian and asymptotically pseudocontractive mappings in the intermediate sense. No compactness assumption is imposed either on T or C, and computation of intersection of closed convex sets Cn and Q n for each n<1 is not required. We also obtain convergence results in this direction for asymptotically strict pseudocontractive mappings in the intermediate sense. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.

Original languageEnglish
Pages (from-to)326-332
Number of pages7
JournalComputers and Mathematics with Applications
Volume62
Issue number1
DOIs
Publication statusPublished - Jul 1 2011

Fingerprint

Pseudocontractive Mapping
Convergence Theorem
Nonlinear Mapping
Closed set
Strong Convergence
Convex Sets
Convergence Results
Compactness
Intersection
Theorem
Class

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

Cite this

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Convergence theorems for asymptotically pseudocontractive mappings in the intermediate sense. / Zegeye, H.; Robdera, M.; Choudhary, B.

In: Computers and Mathematics with Applications, Vol. 62, No. 1, 01.07.2011, p. 326-332.

Research output: Contribution to journalArticle

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