Keywords: multivalued map; random fixed point; Frechet space
@article{ARM_2002_38_2_a1,
author = {Shahzad, Naseer},
title = {Random fixed points of multivalued maps in {Fr\'echet} spaces},
journal = {Archivum mathematicum},
pages = {95--100},
year = {2002},
volume = {38},
number = {2},
mrnumber = {1909591},
zbl = {1068.47075},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2002_38_2_a1/}
}
Shahzad, Naseer. Random fixed points of multivalued maps in Fréchet spaces. Archivum mathematicum, Tome 38 (2002) no. 2, pp. 95-100. http://geodesic.mathdoc.fr/item/ARM_2002_38_2_a1/
[1] Beg I., Shahzad N.: Some random approximation theorems with applications. Nonlinear Anal. 35 (1999), 609–616. | MR | Zbl
[2] Beg I., Shahzad N.: Random fixed points of weakly inward operators in conical shells. J. App. Math. Stochastic Anal. 8 (1995), 261–264. | MR | Zbl
[3] Beg I., Shahzad N.: Applications of the proximity map to random fixed point theorems in Hilbert spaces. J. Math. Anal. Appl. 196 (1995), 606–613. | MR
[4] Benavides T. D., Acedo G. L., Xu H. K.: Random fixed points of set-valued operators. Proc. Amer. Math. Soc. 124 (1996), 831–838. | MR | Zbl
[5] Bharucha-Reid A. T.: Fixed point theorems in probabilistic analysis. Bull. Amer. Math. Soc. 82 (1976), 641–657. | MR | Zbl
[6] Browder F. E.: Semicontractive and semiaccretive nonlinear mappings in Banach spaces. Bull. Amer. Math. Soc. 74 (1968), 660–665. | MR | Zbl
[7] Himmelberg C. J.: Measurable relations. Fund. Math. 87 (1975), 53–72. | MR | Zbl
[8] Itoh S.: Random fixed point theorems with an application to random differential equations in Banach spaces. J. Math. Anal. Appl. 67 (1979), 261–273. | MR | Zbl
[9] Itoh S.: A random fixed point theorem for a multivalued contraction mapping. Pacific J. Math. 68 (1977), 85–90. | MR | Zbl
[10] Kuratowski K., Ryll-Nardzewski C.: A general theorem on selectors. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 13 (1965), 379–403. | MR | Zbl
[11] Lami Dozo E.: Multivalued nonexpansive mappings with Opial’s condition. Proc. Amer. Math. Soc. 38 (1973), 286–292. | MR
[12] Lin T. C.: Random approximations and random fixed point theorems for continuous 1-set-contractive random maps. Proc. Amer. Math. Soc. 123 (1995), 1167–1176. | MR | Zbl
[13] Liu L. S.: Some random approximations and random fixed point theorems for 1-set-contractive random operators. Proc. Amer. Math. Soc. 125 (1997), 515–521. | MR | Zbl
[14] Opial Z.: Weak convergence of the sequence of successive approximations for nonexpansive mappings. Bull. Amer. Math. Soc. 73 (1967), 595–597. | MR | Zbl
[15] Papageorgiou N. S.: Random fixed points and random differential inclusions. Int. J. Math. Math. Sci. 11 (1988), 551–560. | MR | Zbl
[16] Rudin W.: Functional Analysis. McGraw Hill, New York, 1973. | MR | Zbl
[17] Shahzad N.: Random fixed point theorems for various classes of 1-set-contractive maps in Banach spaces. J. Math. Anal. Appl. 203 (1996), 712–718. | MR | Zbl
[18] Shahzad N., Khan L. A.: Random fixed points for 1-set-contractive random maps in Frechet spaces. J. Math. Anal. Appl. 231 (1999), 68–75. | MR
[19] Shahzad N., Latif S.: Random fixed points for several classes of 1-ball-contractive and 1-set-contractive random maps. J. Math. Anal. Appl. 237 (1999), 83–92. | MR | Zbl
[20] Tan K. K., Yuan X. Z.: Random fixed point theorems and approximation. Stochastic Anal. Appl. 15 (1997), 103–123. | MR | Zbl
[21] Tan K. K., Yuan X. Z.: Random fixed point theorems and approximation in cones. J. Math. Anal. Appl. 185 (1994), 378–390. | MR | Zbl
[22] Thomas G. E. F.: Integration on functions with values in locally convex Suslin spaces. Trans. Amer. Math. Soc. 212 (1975), 61–81. | MR
[23] Xu H. K.: Some random fixed point theorems for condensing and nonexpansive operators. Proc. Amer. Math. Soc. 110 (1990), 495–500. | MR | Zbl
[24] Xu H. K., Beg I.: Measurability of fixed point sets of multivalued random operators. J. Math. Anal. Appl. 225 (1998), 62–72. | MR | Zbl