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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

References

  • 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

References

  • 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.
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Details

Primary Language Turkish
Journal Section Mathematics
Authors

Rais Ahmad This is me

- - This is me

Publication Date January 1, 2012
Published in Issue Year 2012 Volume: 41 Issue: 1

Cite

APA 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.