References
- O. Chadli, X. Q. Yang, and J. C. Yao, On generalized vector pre-variational and prequasivariational inequalities, J. Math. Anal. Appl. 295 (2004), no. 2, 392-403 https://doi.org/10.1016/j.jmaa.2004.02.051
- S. S. Chang, B. S. Lee, and Y. Q. Chen, Variational inequalities for monotone operators in nonreflexive Banach spaces, Appl. Math. Lett. 8 (1995), no. 6, 29-34
- Y. Q. Chen, On the semi-monotone operator theory and applications, J. Math. Anal. Appl. 231 (1999), no. 1, 177-192 https://doi.org/10.1006/jmaa.1998.6245
- R. W. Cottle and J. C. Yao, Pseudo-monotone complementarity problems in Hilbert space, J. Optim. Theory Appl. 75 (1992), no. 2, 281-295 https://doi.org/10.1007/BF00941468
- K. Fan, Some properties of convex sets related to fixed point theorems, Math. Ann. 266 (1984), no. 4, 519-537 https://doi.org/10.1007/BF01458545
- Y. P. Fang and N. J. Huang, Variational-like inequalities with generalized monotone mappings in Banach spaces, J. Optim. Theory Appl. 118 (2003), no. 2, 327-338 https://doi.org/10.1023/A:1025499305742
- F. Giannessi, Vector Variational Inequalities and Vector Equilibria, Kluwer Academic Publishers, Dordrecht, 2000
- D. Goeleven and D. Motreanu, Eigenvalue and dynamic problems for variational and hemivariational inequalities, Comm. Appl. Nonlinear Anal. 3 (1996), no. 4, 1-21
- N. Hadjisavvas and S. Schaible, Quasimonotone variational inequalities in Banach spaces, J. Optim. Theory Appl. 90 (1996), no. 1, 95-111 https://doi.org/10.1007/BF02192248
- P. Hartman and G. Stampacchia, On some non-linear elliptic differential-functional equations, Acta Math. 115 (1966), 271-310 https://doi.org/10.1007/BF02392210
- I. V. Konnov and J. C. Yao, On the generalized vector variational inequality problem, J. Math. Anal. Appl. 206 (1997), no. 1, 42-58 https://doi.org/10.1006/jmaa.1997.5192
- S. B. Jr. Nadler, Multi-valued contraction mappings, Pacific J. Math. 30 (1969), 475-488 https://doi.org/10.2140/pjm.1969.30.475
- A. H. Siddiqi, Q. H. Ansari, and K. R. Kazmi, On nonlinear variational inequalities, Indian J. Pure Appl. Math. 25 (1994), no. 9, 969-973
- R. U. Verma, Nonlinear variational inequalities on convex subsets of Banach spaces, Appl. Math. Lett. 10 (1997), no. 4, 25-27
- R. U. Verma, On monotone nonlinear variational inequality problems, Comment. Math. Univ. Carolin. 39 (1998), no. 1, 91-98
- X. Q. Yang and G. Y. Chen, A class of nonconvex functions and pre-variational inequalities, J. Math. Anal. Appl. 169 (1992), no. 2, 359-373 https://doi.org/10.1016/0022-247X(92)90084-Q
- J. C. Yao, Existence of generalized variational inequalities, Oper. Res. Lett. 15 (1994), no. 1, 35-40 https://doi.org/10.1016/0167-6377(94)90011-6
- G. X. Z. Yuan, KKM Theory and Applications in Nonlinear Analysis, Monographs and Textbooks in Pure and Applied Mathematics, 218. Marcel Dekker, Inc., New York, 1999
- L. C. Zeng, S. M. Guu, and J. C. Yao, Iterative algorithm for completely generalized set-valued strongly nonlinear mixed variational-like inequalities, Comput. Math. Appl. 50 (2005), no. 5-6, 935-945 https://doi.org/10.1016/j.camwa.2004.12.017
- L. C. Zeng, S. Schaible, and J. C. Yao, Iterative algorithm for generalized set-valued strongly nonlinear mixed variational-like inequalities, J. Optim. Theory Appl. 124 (2005), no. 3, 725-738 https://doi.org/10.1007/s10957-004-1182-z
- L. C. Zeng and J. C. Yao, Existence of solutions of generalized vector variational inequalities in reflexive Banach spaces, J. Global Optim. 36 (2006), no. 4, 483-497 https://doi.org/10.1007/s10898-005-5509-6
Cited by
- Existence theorems for relaxed η-α pseudomonotone and strictly η-quasimonotone generalized variational-like inequalities vol.2014, pp.1, 2014, https://doi.org/10.1186/1029-242X-2014-442