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General System of A-Monotone Nonlinear Variational Inclusion Problems with Applications

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  • R. U. Verma

    (University of Akron)

Abstract

Based on the notion of A–monotonicity, the solvability of a system of nonlinear variational inclusions using the resolvent operator technique is presented. The results obtained are new and general in nature.

Suggested Citation

  • R. U. Verma, 2006. "General System of A-Monotone Nonlinear Variational Inclusion Problems with Applications," Journal of Optimization Theory and Applications, Springer, vol. 131(1), pages 151-157, October.
    • Handle: RePEc:spr:joptap:v:131:y:2006:i:1:d:10.1007_s10957-006-9133-5
    DOI: 10.1007/s10957-006-9133-5
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    References listed on IDEAS

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    1. R. U. Verma, 2004. "Generalized System for Relaxed Cocoercive Variational Inequalities and Projection Methods," Journal of Optimization Theory and Applications, Springer, vol. 121(1), pages 203-210, April.
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    Cited by:

    1. Javad Balooee & Shih-Sen Chang & Lin Wang & Yu Zhang & Zhao-Li Ma, 2023. "Graph Convergence, Algorithms, and Approximation of Common Solutions of a System of Generalized Variational Inclusions and Fixed-Point Problems," Mathematics, MDPI, vol. 11(4), pages 1-29, February.
    2. Ram U. Verma, 2012. "General Class of Implicit Variational Inclusions and Graph Convergence on A-Maximal Relaxed Monotonicity," Journal of Optimization Theory and Applications, Springer, vol. 155(1), pages 196-214, October.
    3. R. P. Agarwal & R. U. Verma, 2010. "Inexact A-Proximal Point Algorithm and Applications to Nonlinear Variational Inclusion Problems," Journal of Optimization Theory and Applications, Springer, vol. 144(3), pages 431-444, March.

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