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  • Research Article
  • Open Access

Perturbed Iterative Algorithms for Generalized Nonlinear Set-Valued Quasivariational Inclusions Involving Generalized -Accretive Mappings

Journal of Inequalities and Applications20072007:029863

https://doi.org/10.1155/2007/29863

  • Received: 24 August 2006
  • Accepted: 14 January 2007
  • Published:

Abstract

A new class of generalized nonlinear set-valued quasivariational inclusions involving generalized -accretive mappings in Banach spaces are studied, which included many variational inclusions studied by others in recent years. By using the properties of the resolvent operator associated with generalized -accretive mappings, we established the equivalence between the generalized nonlinear set-valued quasi-variational inclusions and the fixed point problems, and some new perturbed iterative algorithms, proved that its proximate solution converges strongly to its exact solution in real Banach spaces.

Keywords

  • Banach Space
  • Exact Solution
  • Iterative Algorithm
  • Point Problem
  • Real Banach Space

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Authors’ Affiliations

(1)
Department of Mathematics, Yangtze Normal University, Chongqing, Fuling, 408003, China

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