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Article

On F-Monotone Operators and Generalized Strongly Nonlinear Variational Inequalities

by
Ashok Ganguly
* and
Kamal Wadhwa
*
Department of Applied Mathematics, Shri G. S. Institute of Technology and Science, Indore (MP) 452003, India
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 1997, 2(3), 155-162; https://doi.org/10.3390/mca2030155
Published: 1 December 1997

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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MDPI and ACS Style

Ganguly, A.; Wadhwa, K. On F-Monotone Operators and Generalized Strongly Nonlinear Variational Inequalities. Math. Comput. Appl. 1997, 2, 155-162. https://doi.org/10.3390/mca2030155

AMA Style

Ganguly A, Wadhwa K. On F-Monotone Operators and Generalized Strongly Nonlinear Variational Inequalities. Mathematical and Computational Applications. 1997; 2(3):155-162. https://doi.org/10.3390/mca2030155

Chicago/Turabian Style

Ganguly, Ashok, and Kamal Wadhwa. 1997. "On F-Monotone Operators and Generalized Strongly Nonlinear Variational Inequalities" Mathematical and Computational Applications 2, no. 3: 155-162. https://doi.org/10.3390/mca2030155

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