Completely generalized nonlinear variational inclusions for fuzzy mappings
Czechoslovak Mathematical Journal (1999)
- Volume: 49, Issue: 4, page 767-777
- ISSN: 0011-4642
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topHuang, Nan-jing. "Completely generalized nonlinear variational inclusions for fuzzy mappings." Czechoslovak Mathematical Journal 49.4 (1999): 767-777. <http://eudml.org/doc/30521>.
@article{Huang1999,
abstract = {In this paper, we introduce and study a new class of completely generalized nonlinear variational inclusions for fuzzy mappings and construct some new iterative algorithms. We prove the existence of solutions for this kind of completely generalized nonlinear variational inclusions and the convergence of iterative sequences generated by the algorithms.},
author = {Huang, Nan-jing},
journal = {Czechoslovak Mathematical Journal},
keywords = {variational inclusion; fuzzy mapping; algorithm; existence; convergence; variational inclusion; fuzzy mapping; algorithm; existence; convergence},
language = {eng},
number = {4},
pages = {767-777},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Completely generalized nonlinear variational inclusions for fuzzy mappings},
url = {http://eudml.org/doc/30521},
volume = {49},
year = {1999},
}
TY - JOUR
AU - Huang, Nan-jing
TI - Completely generalized nonlinear variational inclusions for fuzzy mappings
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 4
SP - 767
EP - 777
AB - In this paper, we introduce and study a new class of completely generalized nonlinear variational inclusions for fuzzy mappings and construct some new iterative algorithms. We prove the existence of solutions for this kind of completely generalized nonlinear variational inclusions and the convergence of iterative sequences generated by the algorithms.
LA - eng
KW - variational inclusion; fuzzy mapping; algorithm; existence; convergence; variational inclusion; fuzzy mapping; algorithm; existence; convergence
UR - http://eudml.org/doc/30521
ER -
References
top- Variational and Quasivariational Inequalities, Application to Free Boundary Problems, Wiley, New York, 1984. (1984) MR0745619
- Stochastic Control by Functional Analysis Method, North-Holland, Amsterdam, 1982. (1982) MR0652685
- Control impulsinnel et inequations quasivariationalles stationaries, C. R. Acad. Sci. 276 (1973), 1279–1284. (1973) MR0317143
- Impulse Control and Quasivariational Inequalities, Gauthiers-Villers, Bordas, Paris, 1984. (1984) MR0756234
- Variational Inequalities and Complementarity Problems, Theory with Applications, Shanghai Scientific and Tech. Literature Publishing House, Shanghai, 1991. (1991)
- Coincidence theorems and variational inequalities for fuzzy mappings, Fuzzy sets and Systems 61 (1994), 359–368. (1994) MR1273257
- 10.1016/0022-247X(91)90276-6, J. Math. Anal. Appl 158 (1991), 194–202. (1991) MR1113409DOI10.1016/0022-247X(91)90276-6
- Generalized multivalued implicit complementarity problems in Hilbert spaces, Math. Japonica 36 (1991), 1093–1100. (1991) MR1139726
- Generalized complementarity problems for fuzzy mappings, Fuzzy sets and Systems 55 (1993), 227–234. (1993) MR1215143
- Generalized quasi-complementarity problems for a pair of fuzzy mappings, J. Fuzzy Math. 4 (1996), 343–354. (1996) MR1395979
- On variational inequalities for fuzzy mappings, Fuzzy sets and Systems 32 (1989), 359–367. (1989) MR1018726
- 10.1007/BF02392210, Acta. Math. 115 (1966), 271–310. (1966) MR0206537DOI10.1007/BF02392210
- 10.1006/jmaa.1994.1277, J. Math. Anal. Appl 185 (1994), 706–712. (1994) MR1288236DOI10.1006/jmaa.1994.1277
- 10.1016/0893-9659(96)00026-2, Appl. Math. Lett. 9:3 (1996), 25–29. (1996) MR1385994DOI10.1016/0893-9659(96)00026-2
- 10.1016/S0893-9659(97)00116-X, Appl. Math. Lett. 10:6 (1997), 129–133. (1997) MR1488281DOI10.1016/S0893-9659(97)00116-X
- Completely generalized strongly nonlinear quasi-complementarity problems for fuzzy mappings, Indian J. Pure Appl. Math. 28 (1997), 23–32. (1997) MR1442814
- Generalized multi-valued nonlinear quasi-complementarity problems in Hilbert spaces, J. Sichuan Univ 31 (1994), 306–310. (1994) MR1322043
- A special variational inequality and the implicit complementarity problem, J. Fac. Sci. Univ. Tokyo 37 (1990), 109–127. (1990) Zbl0702.49008MR1049022
- A variational inequality for fuzzy mappings, Proc. of Fifth Internat. Fuzzy Systems Association World Congress 1993, Seoul, pp. 326–329.
- 10.1016/0893-9659(93)90077-Z, Appl. Math. Lett. 6 (1993), 47–51. (1993) MR1348465DOI10.1016/0893-9659(93)90077-Z
- Implicit Variational Problems and Quasi-variational Inequalities, Lecture Notes in Mathematics, Vol 543, Springer-Verlag, Berlin, 1976, pp. 83–156. (1976) Zbl0346.49003MR0513202
- 10.2140/pjm.1969.30.475, Pacific J. Math 30 (1969), 475–488. (1969) Zbl0187.45002MR0254828DOI10.2140/pjm.1969.30.475
- Strongly nonlinear variational inequalities, C. R. Math. Rep. Acad. Sci. Canada 4 (1982), 213–218. (1982) Zbl0502.49008MR0667575
- 10.1016/0022-247X(87)90323-4, J. Math. Anal. Appl. 123 (1987), 455–460. (1987) Zbl0624.41041MR0883701DOI10.1016/0022-247X(87)90323-4
- 10.1016/0893-9659(88)90152-8, Appl. Math. Lett. 1 (1988), 367–370. (1988) MR0975809DOI10.1016/0893-9659(88)90152-8
- Variational inequalities for fuzzy mappings (I), Fuzzy Sets and Systems 55 (1993), 309–312. (1993) Zbl0785.49006MR1223868
- 10.1016/0377-0427(93)90058-J, J. Comput. Appl. Math. 47 (1993), 285–312. (1993) MR1251844DOI10.1016/0377-0427(93)90058-J
- 10.1016/0022-247X(90)90054-J, J. Math. Anal. Appl. 149 (1990), 444–450. (1990) MR1057686DOI10.1016/0022-247X(90)90054-J
- 10.1016/0022-247X(92)90305-W, J. Math. Anal. Appl. 166 (1992), 386–392. (1992) MR1160934DOI10.1016/0022-247X(92)90305-W
- 10.1006/jmaa.1995.1262, J. Math. Anal. Appl. 193 (1995), 706–714. (1995) MR1338731DOI10.1006/jmaa.1995.1262
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