참고문헌
- R.P. Agarwal, M.F. Khan, D. O'Regan and Salahuddin, On generalized multivalued nonlinear variational inclusions with fuzzy mappings, Adv. Nonlinear Var. Inequal., 8(1) (2005), 41-55.
- G.A. Anastassiou, M.K. Ahmad and Salahuddin, Fuzzified random generalized nonlinear variational inclusions, J. Concrete and Appl. Math., 10(3) (2012), 186-206.
- A.T. Bharucha-Reid, Random Integral Equations, Academic Press, New York, 1972.
- S.S. Chang, Fixed Point Theory with Applications, Chongging Publishing House, Chongging, 1984.
- S.S. Chang, Variational Inequality and Complementarity Problem Theory with Applications, Shanghai Scientific and Tech. Literature Publ. House, Shanghai, 1991.
- S.S. Chang, and Y.G. Zhu, On variational inequalities for fuzzy mappings, Fuzzy Sets and Systems, 32 (1989), 359-367. https://doi.org/10.1016/0165-0114(89)90268-6
- S.S. Chang and N.J. Huang, Random generalized set valued quasi complementarity problems, Acta Math. Appl. Sinica, 16 (1993), 396-405.
- S.S. Chang and N.J. Huang, Generalized quasi complementarity problems for a pair of fuzzy mappings , J. Fuzzy Math., 4(1996), 343-354.
- H.K. Dai, Generalized mixed variational like inequality for random fuzzy mappings, J. Comput. Appl. Math., 224(2009), 20-28. https://doi.org/10.1016/j.cam.2008.03.049
- X.P. Ding, Algorithm of solutions for mixed implicit variational inequalities with fuzzy mappings, Comput. Math. Appl., 38(1999), 231-241. https://doi.org/10.1016/S0898-1221(99)00229-1
- X.P. Ding, M.K. Ahmad and Salahuddin, Fuzzy generalized vector variational inequalities and complementarity problems, J. Nonlinear Funct. Anal., 13 (2) (2008), 253-263.
- Y.P. Fang and N.J. Huang, Iterative algorithm for a system of variational inclusions involving H-accretive operatots in Banach spaces, Acta Math. Hung., 108 (3)(2005), 183-195. https://doi.org/10.1007/s10474-005-0219-6
- N.J. Huang, Random generalized nonlinear variational inclusions for random fuzzy mappings, Fuzzy Sets and Systems, 105(1999), 437-444. https://doi.org/10.1016/S0165-0114(97)00222-4
- N.J. Huang and Y.P. Fang, Fixed point theorems and a new system of multivalued generalized order complementarity problems, Positivity, 7(2003), 257-265.. https://doi.org/10.1023/A:1026222030596
- P.R. Halemous, Measure Theory, Springer Verlag, New York, 1974.
- S. Heilpern, Fuzzy mappings and fixed point theorems, J. Math. Anal. Appl., 83(1981), 566-569. https://doi.org/10.1016/0022-247X(81)90141-4
- G.J. Himmelberg, Measurable relations, Fund. Math., 87 (1975), 53-72. https://doi.org/10.4064/fm-87-1-53-72
- M.F. Khan and Salahuddin, Completely generalized nonlinear random variational inclusions, South East Asian Bulletin of Math., 30(2) (2006), 261-276.
-
J.K. Kim, H.Y. Lan and Y.J. Cho, Solution sensitivity of generalized nonlinear parametric (A,
${\eta}$ ;m)-proximal operator system of equations in Hilbert spaces, Jour of Inequal. Appl., 2014:362 (2014). https://doi.org/10.1186/1029-242X-2014-362 - J K. Kim, Y.P. Fang and N.J. Huang, An existence results for a system of inclusion problems with applications, Appl. Math. Lett., 21(2008), 1209-1214. https://doi.org/10.1016/j.aml.2007.10.025
- J K. Kim and K.S. Kim, A new system of generalized nonlinear mixed quasi variational inequalities and iterative algorithm in Hilbert spaces, J. Korean Math. Soc., 44(4)(2007), 823-834. https://doi.org/10.4134/JKMS.2007.44.4.823
-
H.Y. Lan and R.U. Verma, Iterative algorithms for nonlinear fuzzy variational inclusions system with (A,
${\eta}$ )-accretive mappings in Banach spaces, Adv. nonlinear Var. Inequal. 11(1)(2008), 15-30. -
H.Y. Lan, Y.J. Cho and R.U. Verma, On solution relaxed cocoercive variational inclusions involving (A,
${\eta}$ )-accretive mappings in Banach spaces, Comput. Math. Appl., 51(9-10)(2006), 1529-1538. https://doi.org/10.1016/j.camwa.2005.11.036 - B.S. Lee, M.F. Khan and Salahuddin, Fuzzy nonlinear mixed random variational like inclusions, Pacific J. Optimi., 6(3)(2010), 573-590.
- T.C. Lim, On fixed point stability for set valued contractive mappings with applications to generalized differential equations, J. Math. Anal. Appl., 110(2)(1985), 436-441. https://doi.org/10.1016/0022-247X(85)90306-3
- 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, D.L. Zhu and X.P. Zheng, Existence of solutions and convergence of a multistep iterative algorithm for a system of variational inclusions, Fixed Point Theory Appl., 2007(2007), Art ID 93678, pages 20.
- Salahuddin, Random hybrid proximal point algorithm for fuzzy nonlinear set valued inclusions, J. Concrete Appl. Math., 12(1-2)(2014), 47-62.
- Salahuddin and Ram U. Verma, Systems of random nonlinear variational inclusions with fuzzy mappings in q-uniformly smooth Banach spaces, Nonlinear Funct. Anal. and Appl., 19(3)(2014), 455-478.
- X.Z. Tan, Random quasi-variational inequality, Math. Nachr., 125 (1986), 319-328. https://doi.org/10.1002/mana.19861250124
- R.U. Verma, Role of A-monotonicity in sensitivity analysis for relaxed cocoercive nonlinear quasi variational inclusions and resolvent operator techniques, Nonlinear Funct. Anal. and Appl., 11(4)(2006), 577-588.
- X.K. Xu, Inequalities in Banach spaces with applications, Nonlinear Anal., 16(1991), 1127-1138. https://doi.org/10.1016/0362-546X(91)90200-K
- X.Z. Yuan, Noncompact random generalized games and random quasi variational inequalities, J. Math. Stochastic. Anal., 7(1994), 467-486. https://doi.org/10.1155/S1048953394000377
- L.A. Zadeh, Fuzzy sets, Inform. Control., 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X