偏b-度量空间中的公共不动点定理
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摘要
在偏b-度量空间中引入新型的压缩映象,证明了两个映象的公共不动点定理.改进和推广了偏b-度量空间中的不动点理论的某些结论.
In this paper,a new contractive mapping is introduced into partial b-metric spaces to prove some common fixed point theorems for two mappings,thus improving and extending some conclusions about partial b-metric spaces.
In this paper,a new contractive mapping is introduced into partial b-metric spaces to prove some common fixed point theorems for two mappings,thus improving and extending some conclusions about partial b-metric spaces.
引文
[1]MATTHEWS S G.Partial Metric Topology:Proc.8th Summer Conference on General Topology and Application[C].New York:Acad Sci,1994.
[2]ALTUM I,SOLA F,SIMSEK H.Generalized Contraction on Partial Metric Spaces[J].Topology Appl,2010,157(8):2778-2785.
[3]ALTUM I,ERDURAN A.Fixed Point Theorems for Monotone Mappings on Partial Metric Spaces[J].Fixed Point Theory Appl,2011,2011(12):1-10.
[4]HARJANI J,SADARANGANI K.Fixed Point Theorems for Weakly Contractive Mappings in Partial Ordered Set[J].Nonlinear Anal,2009,71(7-8):3403-3410.
[5]BAKHTIN I A.The Contraction Mapping Principle in Quasimetric Spaces[J].Funct Anal Unianowsk Gos Ped Inst,1989,30:26-37.
[6]CZERWIK S.Contraction Mappings in b-Metric Spaces[J].Acta Mathemaic Et Informatica Universitis Ostraviensis,1993,1(1):5-11.
[7]CZERWIK S.Nonlinear Set-Valued Contraction Mappings in b-Metric Spaces[J].Atti Sem Mat Univ Modena,1998,46:263-276.
[8]HUSSAIN N,SHAH M H.KKM Mappings in Cone b-Metric Spaces[J].Comput Math Appl,2011,62(9):1677-1684.
[9]SATISH S.Partial b-Metric Spaces and Fixed Point Theorems[J].Mediter J Math,2014,25(11):703-711.
[10]刘改平,邓磊.弱压缩多值映像在偏序度量空间中的耦合不动点定理[J].西南大学学报:自然科学版,2011,33(12):126-129.
[11]巨小维,顾贞,于莉琦.锥度量空间中一类扩张映射的公共不动点定理[J].西南大学学报:自然科学版,2014,36(11):112-116.
[12]汪凯,王莹.(φ,φ)-g-弱压缩映射的公共耦合不动点定理[J].西南师范大学学报:自然科学版,2014,39(4):26-29.
[2]ALTUM I,SOLA F,SIMSEK H.Generalized Contraction on Partial Metric Spaces[J].Topology Appl,2010,157(8):2778-2785.
[3]ALTUM I,ERDURAN A.Fixed Point Theorems for Monotone Mappings on Partial Metric Spaces[J].Fixed Point Theory Appl,2011,2011(12):1-10.
[4]HARJANI J,SADARANGANI K.Fixed Point Theorems for Weakly Contractive Mappings in Partial Ordered Set[J].Nonlinear Anal,2009,71(7-8):3403-3410.
[5]BAKHTIN I A.The Contraction Mapping Principle in Quasimetric Spaces[J].Funct Anal Unianowsk Gos Ped Inst,1989,30:26-37.
[6]CZERWIK S.Contraction Mappings in b-Metric Spaces[J].Acta Mathemaic Et Informatica Universitis Ostraviensis,1993,1(1):5-11.
[7]CZERWIK S.Nonlinear Set-Valued Contraction Mappings in b-Metric Spaces[J].Atti Sem Mat Univ Modena,1998,46:263-276.
[8]HUSSAIN N,SHAH M H.KKM Mappings in Cone b-Metric Spaces[J].Comput Math Appl,2011,62(9):1677-1684.
[9]SATISH S.Partial b-Metric Spaces and Fixed Point Theorems[J].Mediter J Math,2014,25(11):703-711.
[10]刘改平,邓磊.弱压缩多值映像在偏序度量空间中的耦合不动点定理[J].西南大学学报:自然科学版,2011,33(12):126-129.
[11]巨小维,顾贞,于莉琦.锥度量空间中一类扩张映射的公共不动点定理[J].西南大学学报:自然科学版,2014,36(11):112-116.
[12]汪凯,王莹.(φ,φ)-g-弱压缩映射的公共耦合不动点定理[J].西南师范大学学报:自然科学版,2014,39(4):26-29.