Agarwal, R. P., Huang, N. J. and Tan, M. Y. Sensitivity analysis for a new system of gen- eralized nonlinear mixed quasi-variational inclusions, Appl. Math. Lett. 17, 345–352, 2001. [2] Ahmad, R., Ansari, Q. H. and Irfan, S. S. Generalized variational inclusions and generalized resolvent equations in Banach spaces, Comput. Math. Appl. 49, 1825–1835, 2005.
Ahmad, R. and Yao, J. C. System of generalized resolvent equation with corresponding sys- tem of variational inclusions, J. Global Optim. 44, 297–309, 2009.
Alber, Y. and Yao, J. C. Algorithm for generalized multivalued co-variational inequalities in Banach spaces, Funct. Differ. Equ. 7, 5–13, 2000.
Ansari, Q. H. and Yao, J. C. A fixed point theorem and its applications to a system of variational inequalities, Bull. Austral. Math. Soc. 59, 433–442, 1999.
Binachi, M. Pseudo p-monotone operators and variational inequalities (Report 6, Instituto di econometria e Matematica per decisioni economiche, Universita Cattolica del Sacro Cuore, Milan, Italy, 1993).
Ceng, L. C., Ansari, Q. H. and Yao, J. C. On relaxed viscosity iterative methods for varia- tional inequalities in Banach spaces, J. Comput. Appl. Math. 230, 813–822, 2009.
Ceng, L. C., Wang, C. Y. and Yao, J. C. Strong convergence theorems by a relaxed extragra- dient method for a general system of variational inequalities, Math. Methods. Oper. Res. 67(3), 375–390, 2008.
Ceng, L. C. and Yao, J. C. A relaxed extragradient-like method for a generalized mixed equilibrium problem, a general system of generalized equilibria and fixed point problem, Nonlinear Anal. Series A: Theory Methods and Applications 72, 1922–1937, 2010.
Ceng, L. C. and Yao, J. C. Mixed projection methods for systems of variational inequalities, J. Global Optim. 41, 465–478, 2008.
Cohen, G. and Chaplais, F. Nested monotony for variational inequalities over a product of spaces and convergence of iterative algorithms, J. Optim. Theory Appl. 59, 360–390, 1988. [12] Fang, Y. P. and Huang, N. J. H-accretive operators and resolvent operators technique for solving variational inclusions in Banach spaces, Appl. Math. Lett. 17, 647–653, 2004.
Hassouni, A. and Moudafi, A. A perturbed algorithm for variational inclusions, J. Math. Anal. Appl. 185, 706–712, 1994.
Lan, H. Y., Cho, Y. J. and Verma, R. U. Nonlinear relaxed cocoercive variational inclusion involving(A, η)-accretive mappings in Banach spaces, Comput. Math. Appl. 51, 1529–1538, 2006.
Lan, H. Y., Kim, J. H. and Cho, Y. J. On a new system of nonlinear A-monotone multivalued variational inclusions, J. Math. Anal. Appl. 327, 481–493, 2007.
Nadler, Jr. S. B. Multivalued contraction mappings, Pacific J. Math. 30, 475–488, 1969.
Noor, M. A. and Noor, K. I. Multivalued variational inequalities and resolvent equations, Math. Comput. Modelling 26 (7), 109–121, 1997.
Pang, J. S. A symmetric variational inequality problems over product sets: Application and iterative methods, Math. Program 31, 206–219, 1985.
Peng, J. W. On a new system of generalized mixed quasi-variational-like inclusions with (H, η)-accretive operators in real q-uniformly smooth Banach spaces, To appear in Nonlinear Analysis.
Petryshyn, W. V. A characterization of strictly convexity of Banach spaces and other uses of duality mappings, J. Funct. Anal. 6, 282–291, 1970.
Verma, R. U. General proximal point algorithm involving η-maximal accretive framework in Banach spaces, Positivity 13 (4), 771–782, 2009.
Verma, R. U. Projection methods, algorithms and a new system of nonlinear variational inequalities, Comput. Math. Appl. 41, 1025–1031, 2001.
System of Generalized $H$-resolvent Equations and the Corresponding System of Generalized Variational Inclusions FULL TEXT
Year 2012,
Volume: 41 Issue: 1, 33 - 45, 01.01.2012
Agarwal, R. P., Huang, N. J. and Tan, M. Y. Sensitivity analysis for a new system of gen- eralized nonlinear mixed quasi-variational inclusions, Appl. Math. Lett. 17, 345–352, 2001. [2] Ahmad, R., Ansari, Q. H. and Irfan, S. S. Generalized variational inclusions and generalized resolvent equations in Banach spaces, Comput. Math. Appl. 49, 1825–1835, 2005.
Ahmad, R. and Yao, J. C. System of generalized resolvent equation with corresponding sys- tem of variational inclusions, J. Global Optim. 44, 297–309, 2009.
Alber, Y. and Yao, J. C. Algorithm for generalized multivalued co-variational inequalities in Banach spaces, Funct. Differ. Equ. 7, 5–13, 2000.
Ansari, Q. H. and Yao, J. C. A fixed point theorem and its applications to a system of variational inequalities, Bull. Austral. Math. Soc. 59, 433–442, 1999.
Binachi, M. Pseudo p-monotone operators and variational inequalities (Report 6, Instituto di econometria e Matematica per decisioni economiche, Universita Cattolica del Sacro Cuore, Milan, Italy, 1993).
Ceng, L. C., Ansari, Q. H. and Yao, J. C. On relaxed viscosity iterative methods for varia- tional inequalities in Banach spaces, J. Comput. Appl. Math. 230, 813–822, 2009.
Ceng, L. C., Wang, C. Y. and Yao, J. C. Strong convergence theorems by a relaxed extragra- dient method for a general system of variational inequalities, Math. Methods. Oper. Res. 67(3), 375–390, 2008.
Ceng, L. C. and Yao, J. C. A relaxed extragradient-like method for a generalized mixed equilibrium problem, a general system of generalized equilibria and fixed point problem, Nonlinear Anal. Series A: Theory Methods and Applications 72, 1922–1937, 2010.
Ceng, L. C. and Yao, J. C. Mixed projection methods for systems of variational inequalities, J. Global Optim. 41, 465–478, 2008.
Cohen, G. and Chaplais, F. Nested monotony for variational inequalities over a product of spaces and convergence of iterative algorithms, J. Optim. Theory Appl. 59, 360–390, 1988. [12] Fang, Y. P. and Huang, N. J. H-accretive operators and resolvent operators technique for solving variational inclusions in Banach spaces, Appl. Math. Lett. 17, 647–653, 2004.
Hassouni, A. and Moudafi, A. A perturbed algorithm for variational inclusions, J. Math. Anal. Appl. 185, 706–712, 1994.
Lan, H. Y., Cho, Y. J. and Verma, R. U. Nonlinear relaxed cocoercive variational inclusion involving(A, η)-accretive mappings in Banach spaces, Comput. Math. Appl. 51, 1529–1538, 2006.
Lan, H. Y., Kim, J. H. and Cho, Y. J. On a new system of nonlinear A-monotone multivalued variational inclusions, J. Math. Anal. Appl. 327, 481–493, 2007.
Nadler, Jr. S. B. Multivalued contraction mappings, Pacific J. Math. 30, 475–488, 1969.
Noor, M. A. and Noor, K. I. Multivalued variational inequalities and resolvent equations, Math. Comput. Modelling 26 (7), 109–121, 1997.
Pang, J. S. A symmetric variational inequality problems over product sets: Application and iterative methods, Math. Program 31, 206–219, 1985.
Peng, J. W. On a new system of generalized mixed quasi-variational-like inclusions with (H, η)-accretive operators in real q-uniformly smooth Banach spaces, To appear in Nonlinear Analysis.
Petryshyn, W. V. A characterization of strictly convexity of Banach spaces and other uses of duality mappings, J. Funct. Anal. 6, 282–291, 1970.
Verma, R. U. General proximal point algorithm involving η-maximal accretive framework in Banach spaces, Positivity 13 (4), 771–782, 2009.
Verma, R. U. Projection methods, algorithms and a new system of nonlinear variational inequalities, Comput. Math. Appl. 41, 1025–1031, 2001.
Ahmad, R., & -, .-. (2012). System of Generalized $H$-resolvent Equations and the Corresponding System of Generalized Variational Inclusions FULL TEXT. Hacettepe Journal of Mathematics and Statistics, 41(1), 33-45.
AMA
Ahmad R, -. System of Generalized $H$-resolvent Equations and the Corresponding System of Generalized Variational Inclusions FULL TEXT. Hacettepe Journal of Mathematics and Statistics. January 2012;41(1):33-45.
Chicago
Ahmad, Rais, and - -. “System of Generalized $H$-Resolvent Equations and the Corresponding System of Generalized Variational Inclusions FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 41, no. 1 (January 2012): 33-45.
EndNote
Ahmad R, - - (January 1, 2012) System of Generalized $H$-resolvent Equations and the Corresponding System of Generalized Variational Inclusions FULL TEXT. Hacettepe Journal of Mathematics and Statistics 41 1 33–45.
IEEE
R. Ahmad and .-. -, “System of Generalized $H$-resolvent Equations and the Corresponding System of Generalized Variational Inclusions FULL TEXT”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 1, pp. 33–45, 2012.
ISNAD
Ahmad, Rais - -, -. “System of Generalized $H$-Resolvent Equations and the Corresponding System of Generalized Variational Inclusions FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 41/1 (January 2012), 33-45.
JAMA
Ahmad R, - -. System of Generalized $H$-resolvent Equations and the Corresponding System of Generalized Variational Inclusions FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2012;41:33–45.
MLA
Ahmad, Rais and - -. “System of Generalized $H$-Resolvent Equations and the Corresponding System of Generalized Variational Inclusions FULL TEXT”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 1, 2012, pp. 33-45.
Vancouver
Ahmad R, - -. System of Generalized $H$-resolvent Equations and the Corresponding System of Generalized Variational Inclusions FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2012;41(1):33-45.