On F-Monotone Operators and Generalized Strongly Nonlinear Variational Inequalities

Ashok Ganguly; Kamal Wadhwa

doi:10.3390/mca2030155

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1 December 1997

On F-Monotone Operators and Generalized Strongly Nonlinear Variational Inequalities

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Department of Applied Mathematics, Shri G. S. Institute of Technology and Science, Indore (MP) 452003, India

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Math. Comput. Appl.1997, 2(3), 155-162;https://doi.org/10.3390/mca2030155

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Abstract

In this paper we develop the existence theory of generalized strongly nonlinear variational inequality problem involving F-monotone operator in the setting of reflexive Banach spaces and Hausdorff topological vector spaces separately. Our results include Dugundji’s and Granas’s variational inequality in reflexive Banach spaces and Tan’s variational inequality in topological vector spaces. respectively.

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