Research Article
Year 2016,
Volume: 4 Issue: 4, 33 - 41, 31.12.2016
Abstract
References
- A. Moudafi, Mixed equilibrium problems: Sensitivity analysis and algorithmic aspect, Computers and Mathematics with applications (2002), Vol. 44,1099-1108.
- E. Blum, W. Oettli, From optimization and variational inequalities to equilibrium problems, Math. student, 63(1994),pp. 123-145.
- F. Giannessi and A. Maugeri, Variational inequalities and Network equilibrium problems, Plenum Press, New york, 1995.
- F. Giannessi (Ed.), Vector variational inequalities and Vector Equilibria, Math. Theories Nonconvex Optim. Appl., vol.38, Kluwer Academic Publishers, Dordrecht (2000).
- X.P. Ding, Quasi-equilibrium problems in noncompact generalized convex spaces, Applied Mathematics and Mechanics, June 2000, Volume 21, Issue 6, pp 637-644.
- X.P. Ding Quasi-equilibrium problems with applications to finite optimization and constrained games in general topologies spaces, Appl. Math. Lett., 13(2000), pp.21-26.
- M.A. Noor, Oettli W. On general nonlinear complementarity problems and quasi-equilibria Mathematiche(Catania), 49(1964), pp.313-331.
- M.A. Noor, Multivalued general equilibrium problems, Journal of Mathematical Analysis and Applications, Vol. 283, issue 1, 1 july 2003, pages 140-149.
- X.P. Ding, Iterative algorithm of solutions for generalized mixed implicit equilibrium-like problems. Appl. Math. Comput., 162, 799-809(2005).
- B.S. Lee and Salahuddin, Existence theorem for vector quasi variational like inequalities, J. Nonlinear Analysis Appl., Vol. 2011, Art ID jnaa 00121,1-9.
- N.K. Mahato and C. Nahak, Equilibrium problems with generalized relaxed monotonicities in Banach spaces, Opsearch, DOI.10.1007/s12597-0(2013).
Year 2016,
Volume: 4 Issue: 4, 33 - 41, 31.12.2016
Abstract
In this paper, we introduce and study an extended mixed equilibrium problem by using auxiliary principle technique. A generalized predictor-corrector iterative algorithm is defined for solving extended mixed equilibrium problem. The convergence of the method mentioned requires some condition (∗), g-relatively relaxed Lipschitz continuity and relatively g-relaxed monotonicity of the mappings.
References
- A. Moudafi, Mixed equilibrium problems: Sensitivity analysis and algorithmic aspect, Computers and Mathematics with applications (2002), Vol. 44,1099-1108.
- E. Blum, W. Oettli, From optimization and variational inequalities to equilibrium problems, Math. student, 63(1994),pp. 123-145.
- F. Giannessi and A. Maugeri, Variational inequalities and Network equilibrium problems, Plenum Press, New york, 1995.
- F. Giannessi (Ed.), Vector variational inequalities and Vector Equilibria, Math. Theories Nonconvex Optim. Appl., vol.38, Kluwer Academic Publishers, Dordrecht (2000).
- X.P. Ding, Quasi-equilibrium problems in noncompact generalized convex spaces, Applied Mathematics and Mechanics, June 2000, Volume 21, Issue 6, pp 637-644.
- X.P. Ding Quasi-equilibrium problems with applications to finite optimization and constrained games in general topologies spaces, Appl. Math. Lett., 13(2000), pp.21-26.
- M.A. Noor, Oettli W. On general nonlinear complementarity problems and quasi-equilibria Mathematiche(Catania), 49(1964), pp.313-331.
- M.A. Noor, Multivalued general equilibrium problems, Journal of Mathematical Analysis and Applications, Vol. 283, issue 1, 1 july 2003, pages 140-149.
- X.P. Ding, Iterative algorithm of solutions for generalized mixed implicit equilibrium-like problems. Appl. Math. Comput., 162, 799-809(2005).
- B.S. Lee and Salahuddin, Existence theorem for vector quasi variational like inequalities, J. Nonlinear Analysis Appl., Vol. 2011, Art ID jnaa 00121,1-9.
- N.K. Mahato and C. Nahak, Equilibrium problems with generalized relaxed monotonicities in Banach spaces, Opsearch, DOI.10.1007/s12597-0(2013).
There are 11 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | December 31, 2016 |
| Published in Issue | Year 2016 Volume: 4 Issue: 4 |