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Convergence Theorems for Hierarchical Fixed Point Problems and Variational Inequalities

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  • Ibrahim Karahan
  • Murat Ozdemir

Abstract

This paper deals with a modi fied iterative projection method for approximating a solution of hierarchical fixed point problems for nearly nonexpansive mappings. Some strong convergence theorems for the proposed method are presented under certain approximate assumptions of mappings and parameters. As a special case, this projection method solves some quadratic minimization problem. It should be noted that the proposed method can be regarded as a generalized version of Wang and Xu (2013), Ceng et al. (2011), Sahu et al. (2012), and many other authors.

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  • Ibrahim Karahan & Murat Ozdemir, 2014. "Convergence Theorems for Hierarchical Fixed Point Problems and Variational Inequalities," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-8, July.
    • Handle: RePEc:hin:jnljam:280158
    DOI: 10.1155/2014/280158
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