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Some Random Fixed Point Theorems for Pair of Non Commuting Expansive type Mappings in Polish Space


Affiliations
1 Scope College of Engineering Bhopal (M.P.), India
2 NRI Institute of Information Science and Technology Bhopal (M.P.), India
3 Govt. M.V.M College Bhopal (M.P.), India
     

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The objective of this paper is to obtain some fixed point theorems for pair of non commuting expansive type multivalued operators on Polish space.

Keywords

Polish Space, Random Multivalued Operator, Random Fixed Point, Hausdroff Metric, Measurable Mapping.
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  • Beg, I. and Azam, A. Fixed points of asymptotically regular multivalued mappings, J. Austral. math. Soc. (ser. A) 53(1992), 313–326.
  • Beg, I. and Shahzad, N. Random fixed point theorems on product spaces, J. Appl. Math. Stochastic Anal. 6 (1993), 95–106.
  • Beg, I. and Shahzad, N. Common random fixed points of random multivalued operators on metric spaces, Boll. U.M.I 7(1995), 493–503.
  • Badshah,V.H. and Sayyed, F. Random fixed points of random multivalued operators on Polish space, Kuwait J. Sci. Eng. 27 (2000), 203–208.
  • Badshah, V.H. and Gagrani Shweta Common random fixed points of random multivalued operators on Polish spaces J. of the Chungcheong Math. Soc. Vol. 18, No. 1, April 2005.
  • Hans, O. Random fixed point theorems, Transactions of the 1st Progue Conference for Information Theory: Statistics, Decision Functions and Random Processes, Fuzzy Sets and System (1956), 105–125.
  • Hans, O. Reduzierende zufallige transformationen, Czecho. Math. J. 7 (1957), 154–158.
  • Hans, O. Random operator equations, Proceeding of the 4th Berkeley Symposium in Mathematics and Statistical Probability, Vol. ll.
  • Itoh, S.ARandom fixed point for a multivalued contraction mapping, Pacif. J.Math. 68 (1977), 85–90.
  • Itoh, S. Random fixed point theorem with an application to random differential equations in Banach spaces, J. Math. Anal. Appl. 67 (1979), 261–273.
  • Jungck,G. Common fixed points for commuting and compatible maps on compacta, Proc. Amer. Math. Soc. 103 (1988), 977–983.
  • Lin, T.C. Random approximations and random fixed point theorems for non-selfmaps, Proc. Amer. Math. Soc. 103 (1988), 1129–1135.
  • Mukherjee, A. Random Transformations of Banach Spaces, Ph.D. Dissertation, Wayne State University, Detroit, Machigan, 1986.
  • Papageorgiou, N.S. Random fixed point theorems of measurable multifunctions in Banach spaces, Proc. Amer. Math. Soc. 97 (1986), 507–514.
  • Spacek, A. Zufallige Gleichungan, Czecho. Math. J. 5 (1955), 462–466.
  • Sehgal, V.M. and Singh, S.P. On random approximations and a random fixed point theorem for set-valued mappings, Proc. Amer. Math. Soc. 95 (1985), 91–94.

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  • Some Random Fixed Point Theorems for Pair of Non Commuting Expansive type Mappings in Polish Space

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Authors

Prabha Chouhan
Scope College of Engineering Bhopal (M.P.), India
Neeraj Malviya
NRI Institute of Information Science and Technology Bhopal (M.P.), India
Geeta Agrawal
Govt. M.V.M College Bhopal (M.P.), India

Abstract


The objective of this paper is to obtain some fixed point theorems for pair of non commuting expansive type multivalued operators on Polish space.

Keywords


Polish Space, Random Multivalued Operator, Random Fixed Point, Hausdroff Metric, Measurable Mapping.

References