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

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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.

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References

  1. VERMA, R. U., A-Monotonicity and Applications to Nonlinear Inchusion Problems, Journal of Applied Mathematics and Sotchastic Analysis, Vol. 17. No. 2, pp. 193–195, 2004.

    Article  Google Scholar 

  2. FANG, Y. P., and HUANG, N. J., H-Monotone Operator and Resolvent Operator Technique for Variational Inclusions, Applied Mathematics and Computation, Vol. 145, No. 2–3, pp. 795–803, 2003.

  3. FANG, Y. P., and HUANG, N. J., H-Monotone Operators and System of Variational Inclusions, Communications on Applied Nonlinear Analysis, Vol. 11, No. 1, pp. 93–101, 2004.

    MathSciNet  Google Scholar 

  4. NANIEWICZ, Z., and PANAGIOTOPOLOS, P. D., Mathematical Theory of Hemivariational Inqualities and Applications, Marecal Dekker, New York, NY, 1995.

    Google Scholar 

  5. VERMA, R. U., Nonlinear Variational and Constrained Hemivariational Inequalities Involving Relaxed Operators, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 77, No. 5, pp. 387–391, 1997.

    Google Scholar 

  6. HUANG, N. J., Generalized Nonlinear Implicit Quasivariational Inclusion and an Application to Implicit Variational Inequalities, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 79, No. 8, pp. 560–575, 1999.

  7. PANAGIOTOPOULOS, P. D., Hemivariational Inequalities and Their Applications in Mechanics and Engineering, Springer Verlag, New York, NY, 1993.

    Google Scholar 

  8. VERMA, R. U., Generalized System for Relaxed Cocoercive Variational Inequalities and Projection Methods, Jounral of Optimization Theory and Applications, Vol. 121, No. 1, 203–210, 2004.

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Authors and Affiliations

  1. Division of Applied Mathematics, University of Akron, Akron, Ohio, USA

    R. U. Verma (Senior Lecturer)

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  1. R. U. Verma
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Communicated by M. J. Balas

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Verma, R.U. General System of A-Monotone Nonlinear Variational Inclusion Problems with Applications. J Optim Theory Appl 131, 151–157 (2006). https://doi.org/10.1007/s10957-006-9133-5

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  • DOI: https://doi.org/10.1007/s10957-006-9133-5

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