Research Article Open Access

Approximation Methods for Fixed Points of Quasi-contractive Mappings in Arbitrary Real Banach Spaces

Olusegun O. Owojori

Abstract

Owojori and Imoru [1] introduced some iteration methods and investigated its convergence for pseudocontractive and accretive operators in arbitrary Banach spaces. In this work, strong convergence results are established for fixed points of a general type of quasicontractive mappings in arbitrary real Banach spaces. Our results here represent some improvements on the earlier results of Owojori and Imoru [1], Naimpally and Singh [2], Chidume [3, 4], Qihou [5], Ganguly and Bandyopahyay [6], Chidume and Osilike [7], Rhoades [8] and Osilike [9] for quasicontractive operators in Banach spaces.

Journal of Mathematics and Statistics
Volume 1 No. 2, 2005, 95-102

DOI: https://doi.org/10.3844/jmssp.2005.95.102

Published On: 30 June 2005

How to Cite: Owojori, O. O. (2005). Approximation Methods for Fixed Points of Quasi-contractive Mappings in Arbitrary Real Banach Spaces. Journal of Mathematics and Statistics, 1(2), 95-102. https://doi.org/10.3844/jmssp.2005.95.102

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Keywords

  • Quasicontractive Mappings
  • Arbitrary Real Banach Spaces
  • Iteration Methods