References
- R. Ahmad, M. F. Khan and Salahuddin, Mann and Ishikawa type perturbed iterative algorithms for generalized nonlinear variational inclusions, Math. Comput. Appl., 6(1)(2001), 47-52.
- M. K. Ahmad and Salahuddin, Resolvent equation technique for generalized nonlinear variational inclusions, Adv. Nonlinear Var. Inequal., 5(1)(2002), 91-98.
- M. K. Ahmad and Salahuddin, Perturbed three step approximation process with errors for a generalized implicit nonlinear quasivariational inclusions, Int. J. Math. Math. Sci., (2006), Article ID 43818, 15 pp.
- M. K. Ahmad and Salahuddin, Generalized strongly nonlinear implicit quasivariational inequalities, J. Inequal. Appl., (2009), Art. ID 124953, 16 pp.
- M. K. Ahmad and Salahuddin, A stable perturbed algorithms for a new class of generalized nonlinear implicit quasi variational inclusions in Banach spaces, Advances Pure Math., 2(2)(2012), 139-148. https://doi.org/10.4236/apm.2012.23021
- C. Baiocchi and A. Capelo, Variational and quasi variational inequalities: applications to free boundary problems, Wiley, New York, 1984.
- X. P. Ding, Perturbed proximal point algorithms for generalized quasi variational inclusions, J. Math. Anal. Appl., 210(1997), 88-101. https://doi.org/10.1006/jmaa.1997.5370
-
X. P. Ding and H. R. Feng, The p-step iterative algorithm for a system of generalized mixed quasi variational inclusions with (A,
${\eta}$ )-accretive operators in q-uniformly smooth Banach spaces, J. Comput. Appl. Math., 220(2008), 163-174. https://doi.org/10.1016/j.cam.2007.08.003 - X. P. Ding and H. R. Feng, Algorithm for solving a new class of generalized nonlinear implicit quasi variational inclusions in Banach spaces, Appl. Math. Comput., 208(2009), 547-555. https://doi.org/10.1016/j.amc.2008.12.028
- X. P. Ding and Salahuddin, A system of general nonlinear variational inclusions in Banach spaces, Appl. Math. Mech., 36(12)(2015), 1663-167. https://doi.org/10.1007/s10483-015-2001-6
- X. P. Ding and Salahuddin, Strong convergence of an iterative algorithm for a class of nonlinear set valued variational inclusions, Korean J. Math., 25(1)(2017), 19-35. https://doi.org/10.11568/KJM.2017.25.1.19
-
Y. P. Fang and N. J. Huang, Approximate solutions for nonlinear operator inclusions with (H,
${\eta}$ )-monotone operators, Research Report Sichuan Univ., 2003. - Y. P. Fang and N. J. Huang, H-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces, Appl. Math. Lett., 17(6)(2004), 647-653. https://doi.org/10.1016/S0893-9659(04)90099-7
- Y. P. Fang and N. J. Huang, Iterative algorithm for a system of variational inclusions involving H-accretive operators in Banach spaces, Acta Math. Hungar., 108(3)(2005), 183-195. https://doi.org/10.1007/s10474-005-0219-6
-
Y. P. Fang, N. J. Huang and H. B. Thompson, A new system of variational inclusions with (H,
${\eta}$ )-monotone operators in Hilbert spaces, Comput. Math. Appl., 49(2005), 365-374. https://doi.org/10.1016/j.camwa.2004.04.037 - H. R. Feng and X. P. Ding, A new system of generalized nonlinear quasi variational like inclusions with A-monotone operators in Banach spaces, J. Comput. Appl. Math., 225(2009), 365-373. https://doi.org/10.1016/j.cam.2008.07.048
- A. Hassouni and A. Moudafi, A perturbed algorithm for variational inclusions, J. Math. Anal. Appl., 185(3)(1994), 706-712. https://doi.org/10.1006/jmaa.1994.1277
- X. F. He, J. L. Lou and Z. He, Iterative methods for solving variational inclusions in Banach spaces, J. Comput. Appl. Math., 203(2007), 80-86. https://doi.org/10.1016/j.cam.2006.03.011
- N. J. Huang and Y. P. Fang, Generalized m-accretive mappings in Banach spaces, J. Sichuan Univ., 38(4)(2001), 591-592. https://doi.org/10.3969/j.issn.0490-6756.2001.04.031
- H. Hussain, M. F. Khan and Salahuddin, Mann and Ishikawa type perturbed iterative algorithms for completely generalized nonlinear variational Inclusions, Int. J. Math. Anal., 3(1)(2006), 51-62.
- P. Junlouchai, S. Plubtieng and Salahuddin, On a new system of nonlinear regularized nonconvex variational inequalities in Hilbert spaces, J. Nonlinear Anal. Optim., 7(1)(2016), 103-115.
- M. F. Khan and Salahuddin, Generalized mixed multivalued variational inclusions involving H-accretive operators, Adv. Nonlinear Var. Inequal., 9(2)(2006), 29-47.
- M. F. Khan and Salahuddin, Generalized co-complementarity problems in p-uniformly smooth Banach spaces, JIPAM. J. Inequal. Pure Appl. Math., 7(2)(2006), Article ID 66, 11 pp.
- M. F. Khan and Salahuddin, Generalized multivalued nonlinear co-variational inequalities in Banach spaces, Funct. Diff. Equ., 14(2-4)(2007), 299-313.
-
S. H. Kim, B. S. Lee and Salahuddin, Fuzzy variational inclusions with (H,
${\phi}$ ,${\psi}$ )-${\eta}$ -Monotone mappings in Banach Spaces, J. Adv. Res. Appl. Math., 4(1)(2012), 10-22. https://doi.org/10.5373/jaram.870.040511 - B. S. Lee, M. F. Khan and Salahuddin, Generalized nonlinear quasi variational inclusions in Banach spaces, Comput. Math. Appl. 56(5)(2008), 1414-1422. https://doi.org/10.1016/j.camwa.2007.11.053
- B. S. Lee, M. F. Khan and Salahuddin, Hybrid-type set-valued variational-like inequalities in Reflexive Banach spaces, J. Appl. Math. Informatics, 27(5-6)(2009), 1371-1379.
-
X. P. Luo and N. J. Huang, (H,
${\phi}$ )-${\eta}$ -monotone operators in Banach spaces with an application to variational inclusions, Appl. Math. Comput., 216(2010), 1131-1139. https://doi.org/10.1016/j.amc.2010.02.005 - Jr. S. B. Nadler, Multi valued contraction mappings, Pacific J. Math., 30(1969), 475-488. https://doi.org/10.2140/pjm.1969.30.475
-
J. W. Peng and D. L. Zhu, A system of variational inclusions with p-
${\eta}$ -accretive operators, J. Comput. Appl. Math., 216(2008), 198-209. https://doi.org/10.1016/j.cam.2007.05.003 - Salahuddin and S. S. Irfan, Proximal methods for generalized nonlinear quasivariational inclusions, Math. Computat. Appl., 9(2)(2004), 165-171.
- S. Q. Shan, Y. B. Xiao and N.J. Huang, A new system of generalized implicit set-valued variational inclusions in Banach spaces, Nonlinear Funct. Anal. Appl., 22(5) (2017), 1091-1105.
- A. H. Siddiqi, M. K. Ahmad and Salahuddin, Existence results for generalized nonlinear variational inclusions, Appl. Maths. Letts., 18(8)(2005), 859-864. https://doi.org/10.1016/j.aml.2004.08.015
- Y. K. Tang, S. S. Chang and Salahuddin, A system of nonlinear set valued variational inclusions, SpringerPlus 2014, 3:318, Doi:10.1186/2193-180-3-318.
- R. U. Verma, M. F. Khan and Salahuddin, Fuzzy generalized complementarity problems in Banach spaces, PanAmer. Math. J., 17(4)(2007), 71-80.
- F. Q. Xia and N. J. Huang, Variational inclusions with a general H-monotone operator in Banach spaces, Comput. Math. Appl., 54(2007), 24-30. https://doi.org/10.1016/j.camwa.2006.10.028