Zhang Shi-sheng, Chen Yu-qing. On the Existence of Solutions for Equations with Accretive Mappings in Probabilistic Metric Spaces[J]. Applied Mathematics and Mechanics, 1990, 11(9): 771-778.
Citation: Zhang Shi-sheng, Chen Yu-qing. On the Existence of Solutions for Equations with Accretive Mappings in Probabilistic Metric Spaces[J]. Applied Mathematics and Mechanics, 1990, 11(9): 771-778.

On the Existence of Solutions for Equations with Accretive Mappings in Probabilistic Metric Spaces

  • Received Date: 1998-07-19
  • Publish Date: 1990-09-15
  • The purpose of this paper is to expand the concept of accretive mapping to probabilistic normed space and to study the existence conditions of solutions for the accretive mapping equatians.
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  • [1]
    Browder,F.E.,Nonlinear mappings of nonexpansive and accretive type in Banach spaces,Bull.Amer.Math.,73(1967),875-882.
    [2]
    Browder,F.E.,Nonlinear operators and nonlinear equations of evolution in Banach spaces,Proc.Symp.Pure Math.,18,Part 2,Amer.Math.Soc.,Providence(1976).
    [3]
    Kato,T.,Nonlinear semigroups and evolutions,J.Math.,Sov.Japan,19(1967),520-568.
    [4]
    Deimling,K.,Zeros of accretive operators,Manuscript Math.,13(1974),365-374.
    [5]
    Browder,F.E.,Nonlinear elliptic boundary value problems(Ⅱ),Trans.Amer.Math.Soc.,117(1965)530-555.
    [6]
    Martin,R.H.Jr.,Strongly dissipative operators and nonlinear equations in Frechet space,Proc.Amer.Math.Soc.,32(1972),161-168.
    [7]
    Morales,C.,Zeros for strongly accretive set-valued mappings,Comm.Math.Univ.Carolinae,27,3(1986),455-469.
    [8]
    Brezis,H.,Equatins of inequations non-linearies dans les espaces vectoriela en dualite,Ann.Inst.Fourier,18(1968),115-175.
    [9]
    Schweizer B.and A.Sklar,Probabilistic Metric Spaces,North-Holland(1983).
    [10]
    Istratescu,V.I.,Fixed Point Theorey,D.Reidel Publishing Comapny(1981).
    [11]
    Hadzic,O.,Fixed Point Theorv in Topological Vector Spaces,Novi Sad Univ.(1984).
    [12]
    张石生,《不动点理论及应用》,重庆出版社(1984).
    [13]
    郭大钧,一个新的不动点定理,数学学报,24(1981), 444-460.
    [14]
    张石生、陈玉清,概率度量空间中的拓朴度理论与不动.点定理,应用数学和力学,10, 6(1989). 477-486.
    [15]
    Kirk,W.A.and R.Schoneberg,Some results on pseudo-contractive mappings,Pacific J.Math.,71(1977),89-100.
    [16]
    Dugundji,J.,An extension of Tietze's theorem,Pacific J.Math.,1(1951),353-367.
    [17]
    杨从仁,m-增生算子的扰动,数学学报,28, 2 (1986), 266-289
    [18]
    杨从仁,Banach空间内m-增生算子扰动的几点注记,数学年刊,9A, 3 (1988), 270-275.
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