Convergence Theorems for Hierarchical Fixed Point Problems and Variational Inequalities

Ibrahim Karahan and Murat Ozdemir

Journal of Applied Mathematics, 2014, vol. 2014, 1-8

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:280158

DOI: 10.1155/2014/280158

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