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Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems

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  • D. R. Sahu
  • Shin Min Kang
  • Vidya Sagar

Abstract

We introduce an explicit iterative scheme for computing a common fixed point of a sequence of nearly nonexpansive mappings defined on a closed convex subset of a real Hilbert space which is also a solution of a variational inequality problem. We prove a strong convergence theorem for a sequence generated by the considered iterative scheme under suitable conditions. Our strong convergence theorem extends and improves several corresponding results in the context of nearly nonexpansive mappings.

Suggested Citation

  • D. R. Sahu & Shin Min Kang & Vidya Sagar, 2012. "Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-12, July.
    • Handle: RePEc:hin:jnljam:902437
    DOI: 10.1155/2012/902437
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