New iteration process for pseudocontractive mappings with convergence analysis

In this study, we introduce a three step iteration process and prove a convergence result for a countable family of pseudocontractive mappings. Our results improve and generalize most of the results that have been proved for this important class of nonlinear mappings.

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Veröffentlicht in:Fixed point theory and algorithms for sciences and engineering 2015-04, Vol.2015 (1), p.1-14, Article 55
Hauptverfasser: Thakur, Balwant Singh, Dewangan, Rajshree, Postolache, Mihai
Format: Artikel
Sprache:eng
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Zusammenfassung:In this study, we introduce a three step iteration process and prove a convergence result for a countable family of pseudocontractive mappings. Our results improve and generalize most of the results that have been proved for this important class of nonlinear mappings.
ISSN:1687-1812
1687-1812
2730-5422
DOI:10.1186/s13663-015-0303-8