• Title/Summary/Keyword: System of generalized nonlinear mixed variational inclusions

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SYSTEM OF GENERALIZED NONLINEAR MIXED VARIATIONAL INCLUSIONS INVOLVING RELAXED COCOERCIVE MAPPINGS IN HILBERT SPACES

  • Lee, Byung-Soo;Salahuddin, Salahuddin
    • East Asian mathematical journal
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    • v.31 no.3
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    • pp.383-391
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    • 2015
  • We considered a new system of generalized nonlinear mixed variational inclusions in Hilbert spaces and define an iterative method for finding the approximate solutions of this class of system of generalized nonlinear mixed variational inclusions. We also established that the approximate solutions obtained by our algorithm converges to the exact solutions of a new system of generalized nonlinear mixed variational inclusions.

A SYSTEM OF PARAMETRIC GENERALIZED NONLINEAR MIXED QUASI-VARIATIONAL INCLUSIONS IN $L_p$ SPACES

  • Jeong, Jae-Ug
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.493-506
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    • 2005
  • In this paper, we study the behavior and sensitivity analysis of the solution set for a system of parametric generalized nonlinear mixed quasi-variational inclusions in Banach spaces. By using some new and innovative technique, existence theorem for the system of parametric generalized nonlinear mixed quasi-variational inclusions in $L_p(p\ge2$ spaces is established. Our results improve the known result of Agarwal et al.[1].

SENSITIVITY ANALYSIS FOR A SYSTEM OF GENERALIZED NONLINEAR MIXED QUASI-VARIATIONAL INCLUSIONS WITH (A, η)-ACCRETIVE MAPPINGS IN BANACH SPACES

  • Jeong, Jae-Ug;Kim, Soo-Hwan
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.6
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    • pp.1175-1188
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    • 2009
  • In this paper, we study the behavior and sensitivity analysis of the solution set for a new system of parametric generalized nonlinear mixed quasi-variational inclusions with (A, ${\eta$)-accretive mappings in quniformly smooth Banach spaces. The present results improve and extend many known results in the literature.