과제정보
The author thanks The University of Lahore for providing partial financial supports.
참고문헌
- J.P. Aubin, Applied Functional Analysis, Wiley-Interscience, New York, 1979.
- J.P. Aubin and I. Ekeland, Applied Nonlinear Analysis, John Wiley & Sons. Inc., New York, 1984.
- H. Brezis, L. Nirenberg and G. Stampacchia, A remark on Ky Fan's minimax principle, Boll. U.M.I., 6 (1972), 293-300.
- Y.J. Cho and H.Y. Lan, A new class of generalized nonlinear multi-valued quasivariational-like-inclusions with H-monotone mappings, Math. Inequal. Appl., 10 (2007), 389-401.
- M.S.R. Chowdhury, The surjectivity of upper-hemicontinuous and pseudo-monotone type II operators in reflexive Banach Spaces, Ganit: J. Bangladesh Math. Soc., 20 (2000), 45-53.
- M.S.R. Chowdhury, Generalized variational inequalities for upper hemi-continuous and demi-operators with applications to fixed point theorems in Hilbert spaces, Serdica Math. J., 25 (1998), 163-178.
- M.S. R. Chowdhury, Afrah A.N. Abdou and Y.J. Cho, Existence theorems of generalized quasi-variational-like inequalities for pseudo-monotone type II operators, J. Inequal. Appl., 449 (2014), 1-18.
- M.S. R. Chowdhury and Y.J. Cho, Existence theorems of generalized quasi-variationallike inequalities for η-h-pseudo-monotone type I operators on non-compact sets, J. Inequal. Appl., 79 (2012), 1-19.
- M.S.R. Chowdhury and Y.J. Cho, Generalized bi-quasi-variational inequalities for quasipseudo-monotone type II operators on non-compact sets, J. Inequal. Appl., Article ID 237191, (2010), 1-17. https://doi.org/10.1155/2010/237191
- M.S.R. Chowdhury and K.K. Tan, Generalized variational-like inequalities for pseudomonotone type III operators, Cent. Eur. J. Math., 6 (2008), 526-536. https://doi.org/10.2478/s11533-008-0049-1
- M.S.R. Chowdhury and K.K. Tan, Application of upper hemi-coninuous operators on generalized bi-quasi-variational inequalities in locally convex topological vector spaces, Positivity, 3 (1999), 333-344. https://doi.org/10.1023/A:1009849400516
- M.S.R. Chowdhury and K.K. Tan, Applications of pseudo-monotone operators with some kind of upper semi-continuity in generalized quasi-variational inequalities on noncompacts, Proc. Amer. Math. Soc., 126 (1998), 2957-2968. https://doi.org/10.1090/S0002-9939-98-04436-0
- M.S.R. Chowdhury and K.K. Tan, Generalized variational inequalities for quasimonotone operators and applications, Bull. Polish Acad. Sci., 45 (1997), 25-54.
- M.S.R. Chowdhury and K.K. Tan, Generalization of Ky Fan's minimax inequality with applications to generalized variational inequalities for pseudo-monotone operators and fixed theorems, J. Math. Anal. Appl., 204 (1996), 910-929. https://doi.org/10.1006/jmaa.1996.0476
- M.S.R. Chowdhury and G. Tarafdar, Existence theorems of generalized quasi-variational inequalities with upper hemi-continuous and demi-operators on non-compact sets, Math. Inequal. Appl., 2 (1999), 585-597.
- M.S.R. Chowdhury and H.B. Thompson, Generalized variational-like inequalities for pseudo-monotone type II operators, Nonlinear Anal., 63 (2005), 321-330.
- A.P. Ding and G. Tarafdar, Generalized variational-like inequalities with pseudomonotone set-valued mappings, Arch. Math., 74 (2000), 302-313. https://doi.org/10.1007/s000130050447
- K. Fan, A minimax inequality and applications, in "Inequalities, III" , (O. Shisha, Ed.), 103-113, Academic Press, San Diego, 1972.
- Y.P. Fang, Y.J. Cho, N.J. Huang and S.M. Kang, Generalized nonlinear implicit quasivariational-like inequalities for set-valued mappings in Banach spaces, Math. Inequal. Appl., 6 (2003), 331-337.
- H. Kneser, Sur un theor'eme fundamental de la theorie des jeux, C.R. Acad. Sci. Paris, 234 (1952), 2418-2420.
- H.Y. Lan, Y.J. Cho and N.J. Huang, Stability of iterative procedures for a class of generalized nonlinear quasi-variational-like inclusions involving maximal η-monotone mappings, Fixed Point Theory and Applications, Edited by Y.J. Cho, J.K. Kim and S.M. Kang, 6 (2006), 107-116.
- R.T. Rockafeller, Convex Analysis, Princeton Univ. Press, Princeton, 1970.
- M.H. Shih and K.K. Tan, Generalized bi-quasi-variational inequalities, J. Math. Anal. Appl., 143 (1989), 66-85. https://doi.org/10.1016/0022-247x(89)90029-2
- M.H. Shih and K.K. Tan, Generalized quasi-variational inequalities in locally convex topological vector spaces, J. Math. Anal. Appl., 108 (1985), 333-343. https://doi.org/10.1016/0022-247x(85)90029-0
- W. Takahashi, Nonlinear variational inequalities and fixed point theorems, J. Math. Soc. Japan, 28 (1976), 166-181.