2014•Abstract and Applied AnalysisOpen access

A Modified Mixed Ishikawa Iteration for Common Fixed Points of Two Asymptotically Quasi Pseudocontractive Type Non-Self-Mappings

Yuanheng Wang, Huimin Shi

Abstract

A new modified mixed Ishikawa iterative sequence with error for common fixed points of two asymptotically quasi pseudocontractive type non-self-mappings is introduced. By the flexible use of the iterative scheme and a new lemma, some strong convergence theorems are proved under suitable conditions. The results in this paper improve and generalize some existing results.

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Key concepts: Lemma (botany), Mathematics, Convergence (economics), Sequence (biology), Fixed point, Type (biology), Applied mathematics, Scheme (mathematics)