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A nonlinear complementarity problem in Banach space

Published online by Cambridge University Press:  17 April 2009

Sribatsa Nanda  and
Sudarsan Nanda
Sribatsa Nanda
Affiliation:
Department of Mathematics, Regional Engineering College, Rourkela 769008, India
Sudarsan Nanda
Affiliation:
Department of Mathematics, Regional Engineering College, Rourkela 769008, India
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Existence and uniqueness theorems for the nonlinear complementarity problem over closed convex cones in a reflexive real Banach space are established.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 21 , Issue 3 , June 1980 , pp. 351 - 356
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Bazaraa, M.S., Goode, J.J. and Nashed, M.Z., “A nonlinear complementarity problem in mathematical programming in Banach space”, Proc. Amer. Math. Soc. 35 (1972), 165–170.CrossRefGoogle Scholar
[2]Eaves, B.C., “On the basic theorem of complementarity”, Math. Programming 1 (1971), 68–75.CrossRefGoogle Scholar
[3]Habetler, G.J. and Price, A.L., “Existence theory for generalized nonlinear complementarity problem”, J. Optim. Theory Appl. (1971), 223–239.Google Scholar
[4]Karamardian, S., “The nonlinear complementarity problem with applications, Part 1”, J. Optim. Theory Appl. 4 (1969), 87–98.CrossRefGoogle Scholar
[5]Karamardian, S., “The nonlinear complementarity problem with applications, Part 2”, J. Optim. Theory Appl. 4 (1969), 167–181.CrossRefGoogle Scholar
[6]Karamardian, S., “Generalized complementarity problem”, J. Optim. Theory Appl. 8 (1971), 161–168.CrossRefGoogle Scholar
[7]Karamardian, S., “The complementarity problem”, Math. Programming 2 (1972), 107–129.CrossRefGoogle Scholar
[8]Mosco, Umberto, “Convergence of convex sets and of solutions of variational inequalities”, Adv. in Math. 3 (1969), 510–585.CrossRefGoogle Scholar
[9]Nanda, Sribatsa and Nanda, Sudarsan, “A complex nonlinear complementarity problem”, Bull. Austral. Math. Soc. 19 (1978), 437–444 (1979).CrossRefGoogle Scholar
[10]Nanda, Sribatsa and Nanda, Sudarsan, “On stationary points and the complementarity problem”, Bull. Austral. Math. Soc. 20 (1979), 77–86.CrossRefGoogle Scholar
[11]Nanda, Sribatsa and Nanda, Sudarsan, “A nonlinear complementarity problem in mathematical programming in Hilbert space”, Bull. Austral. Math. Soc. 20 (1979), 233–236.CrossRefGoogle Scholar