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Y. G. Xu, “Ishikawa and Mann Iterative Processes with Errors for Nonlinear Strongly Accretive Operator Equations,” Journal of Mathematical Analysis and Applications, Vol. 224, 1998, pp. 91-101. http://dx.doi.org/10.1006/jmaa.1998.5987

has been cited by the following article:

• TITLE: Approximative Method of Fixed Point for Φ-Pseudocontractive Operator and an Application to Equation with Accretive Operator

  AUTHORS: Yixin Wen, Aifang Feng, Yuguang Xu

  KEYWORDS: Duality Mapping; Φ-Pseudo-Contractive Operator; Φ-Accretive Operator; Mann Iterative Sequence with Random Error Terms

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.1, January 9, 2014

  ABSTRACT: In this paper, Φ-pseudo-contractive operators and Φ-accretive operators, more general than the strongly pseudo-contractive operators and strongly accretive operators, are introduced. By setting up a new inequality, authors proved that if is a uniformly continuous Φ-pseudo-contractive operator then T has unique fixed point q and the Mann iterative sequence with random errors approximates to q. As an application, the iterative solution of nonlinear equation with Φ-accretive operator is obtained. The results presented in this paper improve and generalize some corresponding results in recent literature.