논문KCI 등재
WEAK CONVERGENCE OF MANN ITERATIVE SEQUENCE FOR NONEXPANSIVE MAPPINGS IN PROBABILISTIC HILBERT SPACES
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초록
The purpose of this paper is to establish the weak convergence theorem of Mann iterative sequence for nonexpansive mappings in probabilistic Hilbert spaces. In order to establish the weak convergence theorem, a new method was presented in this paper, that is method of mathematical expectation.
Abstract
The purpose of this paper is to establish the weak convergence theorem of Mann iterative sequence for nonexpansive mappings in probabilistic Hilbert spaces. In order to establish the weak convergence theorem, a new method was presented in this paper, that is method of mathematical expectation.
참고문헌 (14)
- K. Menger, "Statistical metric", Proc. Nat. Acad of Sci, 28, pp.535~537 (1942)
- B. Schweizer, "Probabilitic metric spaces" (1983), Elsevier-North Holland
- M. S. El Naschie, "On the uncertainty of Cantorian geometry and two-slit experiment", Chaos Solitons & Fractals, 9, pp.517~529 (1998)
- M. S. El Naschie, "A review of E-infinity theory and the mass spectrum of high energy particle physics", Chaos Solitons & Fractals, 19, pp.209~236 (2004)
- M. S. El Naschie, "On a fuzzy Kahler-like Manifold which is consistent with tw -slit experiment", Chaos Solitons & Fractals, 6, pp.95~98 (2005)
- M. S. El Naschie, "The idealized quantum two-slit Gedanken experiment revisitedCriticism and reinterpretation", Chaos Solitons & Fractals, 27, pp.9~13 (2006)
- S. S. Chang, "Generalized contraction mapping principles and differential equations in probabilistic metric spaces", Proc Amer. Math. Soc, 124(23), pp.67~76 (1996)
- S. S. Chang, "Nonlinear operator theory in probabilistic metric spaces" (2001), Nova Science Publishers,Inc.
- Shin-Sen Chang, "Probabilitic metric spaces and nonlinear Operator Theory" (1994), Sichuan University Press
- O. Hadzic, "A fixed point theorem in probabilistic metric spaces and an application", J. Math. Anal. Appl, 202, pp.433~449 (1996)
- Yongfu Su, "On definition of probabilitic inner product spaces", Acta Analysis Functionalis Applicata, 3, pp.193~196 (2001)
- Yongfu Su, "The research of random structure spaces", Acta Analysis Functionalis Appli- cata, 2, pp.152~157 (2002)
- Junyu Gao, "Random structure spaces", Internat. Math. Forum, 30(2), pp.1469~1475 (2007)
- W. R. Mann, "Mean value method in iteration", Proc. Amer. Math. Soc, 4, pp.506~510 (1953)
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