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http://dx.doi.org/10.7858/eamj.2010.26.3.389

VECTOR F-COMPLEMENTARITY PROBLEMS WITH g-DEMI-PSEUDOMONOTONE MAPPINGS IN BANACH SPACES  

Lee, Byung-Soo (DEPARTMENT OF MATHEMATICS KYUNGSUNG UNIVERSITY)
Khan, M. Firdosh (S.S. SCHOOL (BOYS) ALIGARH MUSLIM UNIVERSITY)
Salahuddin, Salahuddin (DEPARTMENT OF MATHEMATICS ALIGARH MUSLIM UNIVERSITY)
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Abstract
In this paper, a class of g-demi-pseudomonotone mappings is introduced and the solvability of a class of generalized vector F-complementarity problems with the mappings in Banach spaces is considered.
Keywords
generalized vector variational inequality; generalized vector F-complementarity problem; g-pseudomonotone; g-demi-pseudomonotone; hemicontinuous; vector demicontinuous; g-demi-pseudomonotone; KKM theorem;
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1 R. U. Verma, Nonlinear variational inequalities on convex subsets of Banach spaces, Appl. Math. Lett. 10(4) (1997), 25-27.   DOI   ScienceOn
2 G. X. Z. Yuan, KKM Theorem and Applications in Nonlinear Analysis, Marcel Dekker, New York, 1999.
3 Y. Q. Chen, On the semi-monotone operator theory and applications, J. Math. Anal. Appl. 231 (1999), 177-192.   DOI   ScienceOn
4 G. Y. Chen and X. Q. Yang, The vector complementarity problem and its equivalences with the weak minimal element in ordered spaces, J. Math. Anal. Appl. 153 (1990), 136-158.   DOI
5 K. Fan, Some properties of convex sets related to xed point theorems, Math. Ann. 266 (1984), 519-537.   DOI
6 Y. P. Fang and N. J. Huang, The vector F-complementarity problems with demipseu- domonotone mappings in Banach spaces, Appl. Math. Lett. 16 (2003), 1019-1024.   DOI   ScienceOn
7 M. K. Kang, N. J. Huang and B. S. Lee, Generlized pseudomonotone set-valued variational-like inequalities, Indian J. Math. 45 (2003), 251-264.
8 Y. P. Fang and N. J. Huang, Variational-like inequalities with generalized monotone mappings in Banach spaces, J. Optim. Th. Appl. 118 (2003), 327-338.   DOI   ScienceOn
9 I. Glicksberg, A further generalization of Kakutani xed point theorem with applications to Nash equilibrium points, Proc. Amer. Math. Soc. 36 (1952), 170-174.
10 N. Hadjesavvas and S. Schaible, A quasimonotone variational inequalities in Banach spaces, J. Optim. Theo. Appl. 90 (1996), 95-111   DOI   ScienceOn
11 S. Karamardian, Complementarity over cones with monotone and pseudomonotone maps, J. Optim. Theo. Appl. 18 (1976), 445-454.   DOI   ScienceOn
12 G. Kassay and J. Kolumban, Variational inequalities given by semi-pseudomonotone mappings, Nonlinear Analysis Forum 5 (2000), 35-50.
13 D. T. Luc, Existence results for densely pseudomonotone variational inequalities, J. Math. Anal. Appl. 254 (2001), 291-308.   DOI   ScienceOn
14 H. Y. Yin, C.X. Hu and Z.X. Zhang, The F-complementarity problems and its equiva- lence with the least element problem, Acta Math. Sinica 44(4) (2001), 679-686.