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Volumn 119, Issue 3, 1993, Pages 849-856

On deterministic and random fixed points

Author keywords

Deterministic fixed point; Fixed point theorem; Measurable selection theorem; Measurable space; Random fixed point theorem; Suslin family; Suslin space

Indexed keywords


EID: 84966223585     PISSN: 00029939     EISSN: 10886826     Source Type: Journal    
DOI: 10.1090/S0002-9939-1993-1169051-2     Document Type: Article
Times cited : (24)

References (31)
  • 2
    • 84966227354 scopus 로고
    • Fixed point theorems in probabilistic analysis
    • A. T. Bharucha-Reid, Fixed point theorems in probabilistic analysis, Bull. Amer. Math. Soc. 82 (1976),641-657.
    • (1976) Bull. Amer. Math. Soc , vol.82 , pp. 641-657
    • Bharucha-Reid, A.T.1
  • 3
    • 0000725631 scopus 로고
    • A general random fixed point theorem and application to random equations
    • G. Bocsan, A general random fixed point theorem and application to random equations, Rev. Roumaine Math. Pures Appl. 26 (1981),375-379.
    • (1981) Rev. Roumaine Math. Pures Appl , vol.26 , pp. 375-379
    • Bocsan, G.1
  • 4
    • 0003211244 scopus 로고
    • Convex analysis and measurable multifunctions
    • Springer-Verlag, Berlin
    • C. Castaing and M. Valadier, Convex analysis and measurable multifunctions, Lecture Notes in Math., vol. 580, Springer-Verlag, Berlin,1977.
    • (1977) Lecture Notes in Math. , vol.580
    • Castaing, C.1    Valadier, M.2
  • 5
    • 84972570942 scopus 로고
    • Some random fixed point theorems for continuous random operators
    • S. S. Chang, Some random fixed point theorems for continuous random operators, Pacific J. Math. 105 (1983),21-31.
    • (1983) Pacific J. Math , vol.105 , pp. 21-31
    • Chang, S.S.1
  • 7
    • 0039609424 scopus 로고
    • Fixed point theorems for set-valued mappings in metric and Banach spaces
    • D. Downing and W. A. Kirk, Fixed point theorems for set-valued mappings in metric and Banach spaces, Math. Japon. 22 (1977),99-112.
    • (1977) Math. Japon , vol.22 , pp. 99-112
    • Downing, D.1    Kirk, W.A.2
  • 8
    • 84972505068 scopus 로고
    • Random fixed point theorems for multivalued mappings
    • H. W. Engl, Random fixed point theorems for multivalued mappings, Pacific J. Math. 76 (1978),351-360.
    • (1978) Pacific J. Math , vol.76 , pp. 351-360
    • Engl, H.W.1
  • 9
    • 0040650990 scopus 로고
    • A general stochastic fixed point theorem for continuous random operators on stochastic domains
    • H. W. Engl, A general stochastic fixed point theorem for continuous random operators on stochastic domains, J. Math. Anal. Appl. 66 (1978),220-231.
    • (1978) J. Math. Anal. Appl , vol.66 , pp. 220-231
    • Engl, H.W.1
  • 10
    • 0001130062 scopus 로고
    • A fixed point theorem in complete metric spaces
    • M. Furi and A. Vignoli, A fixed point theorem in complete metric spaces, Boll. Un. Mat. Ital. (7) 2 (1969),505-509.
    • (1969) Boll. Un. Mat. Ital , vol.7 , Issue.2 , pp. 505-509
    • Furi, M.1    Vignoli, A.2
  • 11
    • 0001852715 scopus 로고
    • Measurable relations
    • C. J. Himmelberg, Measurable relations, Fund. Math. 87 (1975),53-72.
    • (1975) Fund. Math , vol.87 , pp. 53-72
    • Himmelberg, C.J.1
  • 12
    • 31144454979 scopus 로고
    • Single-valued representation of set-valued mappings
    • A. D. Ioffe, Single-valued representation of set-valued mappings, Trans. Amer. Math. Soc. 252 (1979),133-145.
    • (1979) Trans. Amer. Math. Soc , vol.252 , pp. 133-145
    • Ioffe, A.D.1
  • 13
    • 0001997962 scopus 로고
    • A random fixed point theorem for a multivalued contraction mapping
    • S. Itoh, A random fixed point theorem for a multivalued contraction mapping, Pacific J. Math. 68 (1977),85-90.
    • (1977) Pacific J. Math , vol.68 , pp. 85-90
    • Itoh, S.1
  • 14
    • 0018433005 scopus 로고
    • Random fixed point theorem with an application to random differential equations in Banach spaces
    • S. Itoh, Random fixed point theorem with an application to random differential equations in Banach spaces, J. Math. Anal. Appl. 67 (1979),261-273.
    • (1979) J. Math. Anal. Appl , vol.67 , pp. 261-273
    • Itoh, S.1
  • 16
    • 84974140051 scopus 로고
    • Multifunctions ofSouslin type
    • S. J. Leese, Multifunctions ofSouslin type, Bull. Austral. Math. Soc. 11 (1974),395-411.
    • (1974) Bull. Austral. Math. Soc , vol.11 , pp. 395-411
    • Leese, S.J.1
  • 17
    • 84966227464 scopus 로고
    • Random approximations and random fixed point theorems for non-self-maps
    • T. C. Lin, Random approximations and random fixed point theorems for non-self-maps, Proc. Amer. Math. Soc. 103 (1988),1129-1135.
    • (1988) Proc. Amer. Math. Soc , vol.103 , pp. 1129-1135
    • Lin, T.C.1
  • 18
    • 0001229226 scopus 로고
    • Applications of the proximity map to fixed point theorems in Hilbert spaces
    • T. C. Lin and C. L. Yen, Applications of the proximity map to fixed point theorems in Hilbert spaces, J. Approximation Theory 52 (1988),141-148.
    • (1988) J. Approximation Theory , vol.52 , pp. 141-148
    • Lin, T.C.1    Yen, C.L.2
  • 19
    • 0011588102 scopus 로고
    • On fixed point theorems of random set-valued maps
    • Chinese
    • Z. S. Liu and S. Z. Chen, On fixed point theorems of random set-valued maps, Kexue Tongbao (Chinese) 28 (1988),433-435.
    • (1988) Kexue Tongbao , vol.28 , pp. 433-435
    • Liu, Z.S.1    Chen, S.Z.2
  • 20
    • 0040650981 scopus 로고
    • Random fixed points of multifunctions
    • Uniw. Slutski, Katowice
    • A. Nowak, Random fixed points of multifunctions, Prace Nauk. Uniw. Sl§sk. Katowic., vol. 11, Uniw. Slutski, Katowice,1981, pp. 36-41.
    • (1981) Prace Nauk. Uniw. Sl§sk. Katowic , vol.11 , pp. 36-41
    • Nowak, A.1
  • 21
    • 0001687595 scopus 로고
    • Random fixed point theorems for measurable multifunctions in Banach spaces
    • N. S. Papageorgiou, Random fixed point theorems for measurable multifunctions in Banach spaces, Proc. Amer. Math. Soc. 97 (1986),507-514.
    • (1986) Proc. Amer. Math. Soc , vol.97 , pp. 507-514
    • Papageorgiou, N.S.1
  • 22
  • 23
    • 38249024609 scopus 로고
    • Random fixed points and viable random solutions of functional differential inclusions
    • L. E. Rybinski, Random fixed points and viable random solutions of functional differential inclusions, J. Math. Anal. Appl. 142 (1989),53-61.
    • (1989) J. Math. Anal. Appl , vol.142 , pp. 53-61
    • Rybinski, L.E.1
  • 24
    • 0001827930 scopus 로고
    • On the existence of von Neumann-Aumann’s theorem
    • M. F. Saint-Beuve, On the existence of von Neumann-Aumann’s theorem, J. Funct. Anal. 17 (1974),112-129.
    • (1974) J. Funct. Anal , vol.17 , pp. 112-129
    • Saint-Beuve, M.F.1
  • 26
    • 0002967450 scopus 로고
    • On random approximations and fixed point theorem for set valued mappings
    • V. M. Sehgal and S. P. Singh, On random approximations and fixed point theorem for set valued mappings, Proc. Amer. Math. Soc. 95 (1985),91-94.
    • (1985) Proc. Amer. Math. Soc , vol.95 , pp. 91-94
    • Sehgal, V.M.1    Singh, S.P.2
  • 27
    • 0000906294 scopus 로고
    • Some random fixed point theorems for condensing operators
    • V. M. Sehgal and C. Waters, Some random fixed point theorems for condensing operators, Proc. Amer. Math. Soc. 90 (1984),425-429.
    • (1984) Proc. Amer. Math. Soc , vol.90 , pp. 425-429
    • Sehgal, V.M.1    Waters, C.2
  • 29
    • 0000439210 scopus 로고
    • Fixed Point Theory and Applications (K. K. Tan, ed.), World Scientific, Singapore
    • K. K. Tan and X. Z. Yuan, Some random fixed point theorems, Fixed Point Theory and Applications (K. K. Tan, ed.), World Scientific, Singapore,1992, pp. 334-345.
    • (1992) Some Random Fixed Point Theorems , pp. 334-345
    • Tan, K.K.1    Yuan, X.Z.2
  • 31
    • 84966232123 scopus 로고
    • Some random fixed point theorems for condensing and nonexpansive operators
    • H. K. Xu, Some random fixed point theorems for condensing and nonexpansive operators, Proc. Amer. Math. Soc. 110 (1990),395-400.
    • (1990) Proc. Amer. Math. Soc , vol.110 , pp. 395-400
    • Xu, H.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.