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On multivalued nonlinear variational inclusion problems with-accretive mappings in Banach spaces

Abstract

Based on the notion of-accretive mappings and the resolvent operators associated with-accretive mappings due to Lan et al., we study a new class of multivalued nonlinear variational inclusion problems with-accretive mappings in Banach spaces and construct some new iterative algorithms to approximate the solutions of the nonlinear variational inclusion problems involving-accretive mappings. We also prove the existence of solutions and the convergence of the sequences generated by the algorithms in-uniformly smooth Banach spaces.

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Correspondence to Heng-You Lan.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Lan, HY. On multivalued nonlinear variational inclusion problems with-accretive mappings in Banach spaces. J Inequal Appl 2006, 59836 (2006). https://doi.org/10.1155/JIA/2006/59836

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Keywords

  • Banach Space
  • Iterative Algorithm
  • Variational Inclusion
  • Smooth Banach Space
  • Inclusion Problem
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