模糊度量空间中一类映射的不动点定理
|
摘要
应用模糊度量满足三角不等式的基本概念及分析方法,研究完备模糊度量空间中Ciric-Altman型映射不动点的存在性问题,在一定条件下于模糊度量空间中给出了两个新的非唯一不动点定理,扩展了相关结果.
The existence of fixed points of Ciric-Altman type mappings in complete fuzzy metric spaces is studied by using the basic concept of fuzzy metric satisfying triangular inequalities and analysis method. Two new nonunique fixed point theorems are established in fuzzy metric spaces,and the theorems extend the previous results.
The existence of fixed points of Ciric-Altman type mappings in complete fuzzy metric spaces is studied by using the basic concept of fuzzy metric satisfying triangular inequalities and analysis method. Two new nonunique fixed point theorems are established in fuzzy metric spaces,and the theorems extend the previous results.
引文
[1] Schweizer B,Sklar A.Statistical metric spaces[J].Pac J Math,1960,10:314-334.
[2] George A,Veeramani P.On some results in fuzzy metric spaces[J].Fuzzy Sets Syst,1994,64:395-399.
[3] Vetro C,Vetro P.Common fixed points for discontinuous mappings in fuzzy metric spaces[J].Rend Circ Mat Palermo,2008,57:295-303.
[4] George A,Veeramani P.On some results of analysis for fuzzy metric spaces[J].Fuzzy Sets Syst,1997,90:365-368.
[5] Bari D C,Vetro C.Fixed points,attractors and weak fuzzy contractive mappings in a fuzzy metric space[J].J Fuzzy Math,2005,13:973-982.
[6]张树义,赵美娜,丛培根.模糊度量空间中Φ-压缩型映象不动点定理及应用[J].南通大学学报(自然科学版),2017,16(3):66-71.
[7] Altman M.An integral test for series and generalized contractions[J].Amer Math Monthly,1975,82(8):827-829.
[8] Ciric L B.On some maps with a nonunique fixed point[J].Pub Inst Math,1974,17(31):52-58.
[9] Pachpatte B G.On Ciric type maps with a nonunique fixed point[J].Indian J Appl Math,1979,10(8):1039-1042.
[10]刘泽庆.关于非唯一不动点的一些结果[J].辽宁师范大学学报(自然科学版),1986(4):12-15.
[11]赵美娜,张树义,郑晓迪.Ciric-Altman型映射的不动点定理[J].西华大学学报(自然科学版),2016,14(6):79-81.
[2] George A,Veeramani P.On some results in fuzzy metric spaces[J].Fuzzy Sets Syst,1994,64:395-399.
[3] Vetro C,Vetro P.Common fixed points for discontinuous mappings in fuzzy metric spaces[J].Rend Circ Mat Palermo,2008,57:295-303.
[4] George A,Veeramani P.On some results of analysis for fuzzy metric spaces[J].Fuzzy Sets Syst,1997,90:365-368.
[5] Bari D C,Vetro C.Fixed points,attractors and weak fuzzy contractive mappings in a fuzzy metric space[J].J Fuzzy Math,2005,13:973-982.
[6]张树义,赵美娜,丛培根.模糊度量空间中Φ-压缩型映象不动点定理及应用[J].南通大学学报(自然科学版),2017,16(3):66-71.
[7] Altman M.An integral test for series and generalized contractions[J].Amer Math Monthly,1975,82(8):827-829.
[8] Ciric L B.On some maps with a nonunique fixed point[J].Pub Inst Math,1974,17(31):52-58.
[9] Pachpatte B G.On Ciric type maps with a nonunique fixed point[J].Indian J Appl Math,1979,10(8):1039-1042.
[10]刘泽庆.关于非唯一不动点的一些结果[J].辽宁师范大学学报(自然科学版),1986(4):12-15.
[11]赵美娜,张树义,郑晓迪.Ciric-Altman型映射的不动点定理[J].西华大学学报(自然科学版),2016,14(6):79-81.