Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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EXISTENCE RESULTS FOR VECTOR NONLINEAR INEQUALITIES

  • Published : 2003.10.01
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Abstract

The purpose of this paper is to consider some existence results for vector nonlinear inequalities without any monotonicity assumption. As consequences of our main result, we give some existence results for vector equilibrium problem, vector variational-like inequality problem and vector variational inequality problems as special cases.

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References

  1. Nonlinear Analysis v.47 On generalized vector equilibrium problems Q.H.Ansari;I.V.Konnov;J.C.Yao https://doi.org/10.1016/S0362-546X(01)00199-7
  2. Math. Mech. Oper. Res. v.46 A generalization of vector equilibria Q.H.Ansari;W.Oettli;D.Schlager https://doi.org/10.1007/BF01217687
  3. Appl. Math. Lett. v.12 The existence of nonlinear inequalities Q.H.Ansari;N.C.Wong;J.C.Yao
  4. Appl. Math. Lett. v.12 An existence result for the generalized vector equilibrium problem Q.H.Ansari;J.C.Yao
  5. J. Opti. Th. Appl. v.92 Vector equilibrium problems with generalized monotone bifunctions M.Bianchi;N.Hadjisavvas;S.Schaible https://doi.org/10.1023/A:1022603406244
  6. J. Global Opti. v.16 On generalized vector equilibrium problems O.Chadli;H.Riahi https://doi.org/10.1023/A:1008381318560
  7. Math. Ann. v.142 A generalization of Tychonoff's fixed point theorem K.Fan https://doi.org/10.1007/BF01353421
  8. J. Opti. Th. Appl. v.96 From scalar to vector equilibrium problems in the quasimonotone case N.Hadjisavvas;S.Schaible https://doi.org/10.1023/A:1022666014055
  9. J. Math. Anal. Appl. v.233 Existence of solutions for generalized vector equilibrium problems I.V.Konnov;J.C.Yao https://doi.org/10.1006/jmaa.1999.6312
  10. Nonlinear Analysis Forum v.6 Variational inequalities for L-pseudomonotone maps B.S.Lee;M.K.Kang;S.J.Lee;K.H.Yang
  11. Indian J. Pure Appl. Math. v.28 Generalized vector variational-like inequalities on locally convex Hausdorff topological vector spaces B.S.Lee;G.M.Lee;D.S.Kim
  12. Nonlinear Analysis Forum v.3 Vector variational inequality as a tool for studying vector optimization problems G.M.Lee;D.S.Kim;B.S.Lee;N.D.Yen
  13. Nonlinear Analysis Forum v.1 Vector saddle point theorems and vector minimax theorems on H-spaces G.M.Lee;B.S.Lee;S.S.Chang
  14. Acta. Math. Vietnam v.22 A remark on vector-valued equilibria and generalized monotonicity W.Oettli
  15. Indian J. Pure Appl. Math. v.28 On vector variational-like inequalities A.H.Siddiqi;Q.H.Ansari;M.Ahmad
  16. Vector Variational Inequalities and Vector Equilibria Vector equilibrium problems with set-valued mappings W.Song;F.Giannessi(ed.)
  17. J. Math. Anal. Appl. v.128 A fixed point theorem equivalent to Fan-Knaster-Kuratowski-Mazurkiewicz's theorem E.Tarafdar https://doi.org/10.1016/0022-247X(87)90198-3
  18. Math. of Oper. Res. v.19 Variational inequalities with generalized monotone operators J.C.Yao https://doi.org/10.1287/moor.19.3.691

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