[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2010.25.3.427

SENSITIVITY ANALYSIS FOR A NEW SYSTEM OF VARIATIONAL INEQUALITIES

Jeong, Jae-Ug (DEPARTMENT OF MATHEMATICS DONGEUI UNIVERSITY)

Publication Information

Communications of the Korean Mathematical Society / v.25, no.3, 2010 , pp. 427-441 More about this Journal

Abstract

In this paper, we study the behavior and sensitivity analysis of the solution set for a new system of generalized parametric multi-valued variational inclusions with (A, $\eta$ )-accretive mappings in q-uniformly smooth Banach spaces. The present results improve and extend many known results in the literature.

Keywords

variational inclusion; sensitivity analysis; resolvent operator; (A, $\eta$ )-accretive mapping;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

1	H. Y. Lan, Nonlinear parametric multi-valued variational inclusion systems involving (A, )-accretive mappings in Banach spaces, Nonlinear Anal. 69 (2008), no. 5-6, 1757–1767. DOI ScienceOn
2	H. Y. Lan, Y. J. Cho, and R. U. Verma, Nonlinear relaxed cocoercive variational inclusions involving (A, )-accretive mappings in Banach spaces, Comput. Math. Appl. 51 (2006), no. 9-10, 1529–1538. DOI ScienceOn
3	R. P. Agarwal, N. J. Huang, and M. Y. Tan, Sensitivity analysis for a new system of generalized nonlinear mixed quasi-variational inclusions, Appl. Math. Lett. 17 (2004), no. 3, 345–352. DOI ScienceOn
4	H. K. Xu, Inequalities in Banach spaces with applications, Nonlinear Anal. 16 (1991), no. 12, 1127–1138. DOI ScienceOn
5	N. D. Yen, Lipschitz continuity of solutions of variational inequalities with a parametric polyhedral constraint, Math. Oper. Res. 20 (1995), no. 3, 695–708. DOI ScienceOn
6	T. C. Lim, On fixed point stability for set-valued contractive mappings with applications to generalized differential equations, J. Math. Anal. Appl. 110 (1985), no. 2, 436–441. DOI
7	R. N. Mukherjee and H. L. Verma, Sensitivity analysis of generalized variational inequalities, J. Math. Anal. Appl. 167 (1992), no. 2, 299–304. DOI
8	S. B. Nadler, Multi-valued contraction mappings, Pacific J. Math. 30 (1969), 475–488. DOI
9	M. A. Noor, General algorithm and sensitivity analysis for variational inequalities, J. Appl. Math. Stochastic Anal. 5 (1992), no. 1, 29–41. DOI ScienceOn
10	Y. H. Pan, Sensitivity analysis for general quasivariational inequalities in parametric form, Sichuan Shifan Daxue Xuebao Ziran Kexue Ban 19 (1996), no. 2, 56–59.
11	S. Dafermos, Sensitivity analysis in variational inequalities, Math. Oper. Res. 13 (1988), no. 3, 421–434. DOI
12	J. U. Jeong, A system of parametric generalized nonlinear mixed quasi-variational inclusions in Lp spaces, J. Appl. Math. Comput. 19 (2005), no. 1-2, 493–506.