Convergence Theorems of an Implicit Iterates with Errors for Non-Lipschitzian Asymptotically  Quasi-Nonexpansive Type Mappings

Saluja, G. S.

Research Article

Convergence Theorems of an Implicit Iterates with Errors for Non-Lipschitzian Asymptotically Quasi-Nonexpansive Type Mappings

G. S. Saluja¹

Govt.N.P.G.College of Science, Raipur (C.G.), India.

Abstract

The aim of this paper is to study an implicit iterative process with errors for two finite families of non-Lipschitzian asymptotically quasi-nonexpansive type mappings in the framework of real Banach spaces. In this paper, we have obtained a necessary and sufficient condition to converge to common fixed points for proposed scheme and mappings and also obtained strong convergence theorems by using semi-compactness and Condition (B').

How to Cite

G. S. Saluja, Convergence Theorems of an Implicit Iterates with Errors for Non-Lipschitzian Asymptotically Quasi-Nonexpansive Type Mappings, Int. J. Anal. Appl. 1 (2013), 79–99.

BibTeX

@article{Saluja2013,
  author  = {Saluja, G. S.},
  title   = {Convergence Theorems of an Implicit Iterates with Errors for Non-Lipschitzian Asymptotically  Quasi-Nonexpansive Type Mappings},
  journal = {Int. J. Anal. Appl.},
  volume  = {1},
  year    = {2013},
  pages   = {79--99},
  doi     = {}
}

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