留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

具凸结构的概率度量空间中的重合点定理

朴维达 朴根生 赵烈济 金钟圭

朴维达, 朴根生, 赵烈济, 金钟圭. 具凸结构的概率度量空间中的重合点定理[J]. 应用数学和力学, 1994, 15(8): 685-697.
引用本文: 朴维达, 朴根生, 赵烈济, 金钟圭. 具凸结构的概率度量空间中的重合点定理[J]. 应用数学和力学, 1994, 15(8): 685-697.
Wee Tae Park, Keun Saeng Park, Yeol Je Cho, Jong Kyu Kim. Coincidence point Theorems in Probabilistic Metric Spaces with a Convex Structures[J]. Applied Mathematics and Mechanics, 1994, 15(8): 685-697.
Citation: Wee Tae Park, Keun Saeng Park, Yeol Je Cho, Jong Kyu Kim. Coincidence point Theorems in Probabilistic Metric Spaces with a Convex Structures[J]. Applied Mathematics and Mechanics, 1994, 15(8): 685-697.

具凸结构的概率度量空间中的重合点定理

Coincidence point Theorems in Probabilistic Metric Spaces with a Convex Structures

  • 摘要: 本文在具凸结构的概率度量空间中,对非线性混合压缩映象得出了几个重合点和公共不动点定理。
  • [1] Bharucha-Reid,A.T,Fixed point theorems in probabilistic analysis,Bull.Amer.Math.Sot.,82(1976),641-657.
    [2] Bocsan,Gh.and Gh.Constantin,The Kuratowski function and some application to probabilistic metric spaces,Atti Acad.Naz.Lincei,55(1973),235-240.
    [3] Bocsan,Gh.,On some fixed point theorems in probabilistic metric spaces,Math.Balkanica 4(1974),67-70.
    [4] Cain.G.L.,Jr.and R.H.Kasricl,Fixed and periodic points of local contraction mappings on probabilistic metric spaces,Math.Systems Theory,9(1976),289-297.
    [5] Chang,S.S.,Fixed point theorem of mappings on probabilistic metric spaces with application,Scinetia Sinica(Series A),26(1983),1144-1155.
    [6] Cho,Y.J.,W.T.Park,K.S.Park and J.K.Kim,Coindence point tkeorems in probabilistic metric spaces,Kobe Math.J.(to appear).
    [7] Ciric,kj.B.,On fixed points of generalized contraction on probabilistic metric spaces,Puhl.Inst.Moth.(Beograd)(N.S.),18,32(1975),71-78.
    [8] Ding Xie-ping,Common fixed points for non-expansive type mappings in convex and probabilistic convex metric spaces,Review of Research,Faculty of Science,Mathematics Series,Univ.of Novi Sad,16,1(1986),73-84.
    [9] Egbert,R.J.,Products and quotients of probabilistic metric spaces,pacific J.Math.,24(1968),437-455.
    [10] Hadzic,O.and M.Budincevic,A class of T-norm in the fixed point theory on probabilistic metric spaces,Zb.rad.Prir.-mat.fak.,Univ.of Novi Sad,9(1979),37-41.
    [11] Hadzic O,A fixed point theorem in probabilistic locally convex spaces,Rev.Roum.Appl.,23(1978),735-744.
    [12] Hadzic,O.,On common fixed points in metric and probabilistic metric spaces with convex structures,Zb.rad.,Prir.-mat.fak.,Univ.of Novi Sad,14(1980),13-24.
    [13] Hadzic,O.,Some fixed point and almost fixed point theorems for multi-valued mapping sin topological vector'space,Nonlinear Analysis,Theory,Methods and Applications,5(1981),1009-1019.
    [14] Hadzic,O.,Some theorems on the fixed points in probabilistic metric and random normed spaces,Boll.Un.Mat.Ital.B,18,5(1981),1-11.
    [15] Hadzic,O.,On coincidence points in metric and probabilistic metric spaces with a convex structure,Zb.rad.,Prir.-mat.fak.,Unvi Sad,15,1(1985),11-22.
    [16] Hadzic,O.,Fixed point theorems for multi-valued mappings in probabilistic metric spaces with a convex structure,Zb.rad.,Prir.-mat.fak.,Univ.of Novi Sad,17,1(1987),39-51.
    [17] Istratescu,V.I.and I.Saeuiu,Fixed point theorems for contraction mappings on probabilistic metric spaces,Rev.Roumaine Math.Pures Appl.,18(1973),1375-1380.
    [18] Itoh,S.and W.Takahashi,Single-valued mappings multi-valued mappings and fixed point theorems,J.Math.Anal.Appl.,59(1977),514-521.
    [19] Machado,H.,V.,A characterization of convex subsets of normed spaces,Kodai Math.Sem.Rep.,25(1973),307-220.
    [20] Menger,K.,Statistical metric,Proc,Nat.Acad.Sci.USA,28(1942),535-537.
    [21] Naimpally,S.A.,K.k.Singh and J.H.M.Whitfield,Common fixed points for nonexpansive and asymptotically nonexpansive mappings,Comm.Math.Univ.Corolinae,24,2(1983),287-300.
    [22] Radu,V.,On the tnorms of Hadzic type.and fixed points in probabilistic metric spaces,Sere.Teoria Prob.Apl.,Timisoara,66(1983).
    [23] Radu,V.,On the t-norms of Hadzic type and locally convex random normal spaces,Sere.Teoria Probl.Apl.,Timisoara,70(1984).
    [24] Radu,V.,On some fixed points theorems in probabilistic metric spaces,Sem.Teoria Prob.Apl.,Timisoara,74(1985).
    [25] Rhoades,B.E.,K.L.Singh and J.H.M.Whitfield,Fixed points for generalized nonexpansive mappings,Comment.Math.Unit,.Carolinae,23,3(1982),443-4511.
    [26] Schweizer,B.and A Sklar,Statistical metric spaces,Pacific J.Math.,10(1960),313-334.
    [27] Schweizer.B.,A Sklar and E.Thorp,The metrization of statistical metric spaces,Pacific J.Math.,10(1960),673-675.
    [28] Schweizer,B.and A.Sklar,Probabilistic metric spaces,Noth-Holland Series.in Probability and Applied Mathematics,5(1983).
    [29] Sherwood,H.,Complete probabilistic metric spaces 2,Wahrsch.Verw Gebiete,29,(1971),117-128.
    [30] Singh,K,L,and J.H,M,Whitfield,Fiaed points for left reversible semigroups in convey metric spaces,(Preprint).
    [31] Singh,S.L.and B.D.Pant,Coincidence and fixed point theorems for a family of mappings on Menger spaces and extension to uniform spaces,Math.Japon,33,6(1988),957-973.
    [32] Stojakovic,M.,Common fixed point theorems in complete metric and probabilistic metric spaces,Bull.Austral.Math.Soc.,36(1987),73-88.
    [33] Takanashi,W.,Fixed point theorems for amenable semigroup of nonexpansive mappings,Kodai Math.Sem.Rep.,21(1969),383-386.
    [34] Takahashi,W.,A convexity in metric space and nonexpansive mappings I.,Kodai\Math.Sem.Rep.,22(1970),142-149.
    [35] Tallman,L.A.,Fixed points for condensing multi-functions ifi metric spaces with convex structures,Kodai Math.Sere.Rep.,29(1977),62-70.
    [36] Tan,D.H.,On probabilistic densifying mappings,Rev.Roumaine Math.Pures Appl.,26(1981),1305-1217.
    [37] Tan,N.X.,Generalized probabilistic metric spaces and fixed point theorems,Math.Nachr.,129(1986).205-218.
    [38] Zeidler,E.,Vorlesungen fiber nichtlineare Funktionalanalysis I.,Fixepunkts.tze,Teubner-Texte zur Mathematik(1976)
  • 加载中
计量
  • 文章访问数:  2201
  • HTML全文浏览量:  70
  • PDF下载量:  626
  • 被引次数: 0
出版历程
  • 收稿日期:  1993-09-17
  • 刊出日期:  1994-08-15

目录

    /

    返回文章
    返回