Weak And Strong Convergence Theorems For Approximating Fixed Points Of Nonexpansive Mappings Using A Composite Hybrid Iteration Method

Authors

  • D. I. Igbokwe DEPARTMENT OF MATHEMATICS AND STATISTICS, UNIVERSITY UYO, UYO, NIGERIA
  • U. S. Jim DEPARTMENT OF MATHEMATICS AND STATISTICS, UNIVERSITY UYO, UYO, NIGERIA

Abstract

We prove that the recent results of Miao and Li [Applicable Analysis and Discrete Mathematics 2(2008), 197- 204, http://pefmath.etf.bg.ac.yu] concerning the iterative approximation of fixed points of nonexpansive mappings in Hilbert spaces using a composite hybrid iteration method can be extended to arbitrary Banach spaces without the strong monotonicity assumption imposed on the hybrid operators.

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Published

2021-04-08

How to Cite

Igbokwe, D. I., & Jim, U. S. (2021). Weak And Strong Convergence Theorems For Approximating Fixed Points Of Nonexpansive Mappings Using A Composite Hybrid Iteration Method. Journal of the Nigerian Mathematical Society, 33(1-3), 129–144. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/712

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