具有Banach代数的半序锥度量空间中c-距离下的不动点定理
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摘要
在具有Banach代数的半序的锥度量空间中c-距离下获得了新的不动点定理.所得结果改进并推广原有的许多重要结论,同时给出满足定理条件的相应例子说明结果是有意义的.
In this paper,some fixed point theorems under c-distance in ordered cone metric spaces over Banach algebras are obtained. The results improve and generalize some well-known comparable results. Some supporting examples are also given.
In this paper,some fixed point theorems under c-distance in ordered cone metric spaces over Banach algebras are obtained. The results improve and generalize some well-known comparable results. Some supporting examples are also given.
引文
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[12]YAN Q,YIN J D,WANG T. Fixed point and common fixed point theorems on ordered cone metric spaces over Banach algebras[J]. J Nonlinear Science and Applications,2016,9(5):1581-1589.
[13]HUANG H P,HU S L,POPOVIC'B Z,et al. Common fixed point theorems for four mappings on cone b-metric spaces over Banach algebras[J]. J Nonlinear Science and Applications,2016,9(12):3655-3671.
[14]ZAID M F,ABD G B A,LJILJANA P. New Fixed Point Results of Single-Valued Mapping for c-Distance in Cone Metric Spaces[J]. Fixed Point Theory and Applications,2012(2012):639713. doi:10.1155/2012/639713.
[15]DOREVI M,DORIC D,KADELBURG Z,et al. Fixed point results under c-distance in tvs-cone metric spaces[J]. Fixed Point Theory and Applications,2011(2011):29. doi:10.1186/1687-1812-2011-29.
[16]张石生.不动点理论及应用[M].重庆:重庆出版社,1984.
[2]DU W S. A note on cone metric fixed point theory and its equivalence[J]. Nonlinear Anal,2010,72(5):2259-2261.
[3]FENG Y,MAO W. The equivalence of cone metric spaces and metric spaces[J]. Fixed Point Theory,2010,11(2):259-264.
[4]张宪.锥度量空间中Lipschitz型映射的公共不动点定理[J].数学学报,2010,53(6):1139-1148.
[5]LIU H,XU S. Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings[J]. Fixed Point Theory Appl,2013,2013(1):320.
[6]HUANG H P,RADENOVIC S,DOSENOVIC T. Some common fixed point theorems on c-distance in cone metric spaces over Banach algebras[J]. Comput Math,2015,14(2):180-193.
[7]韩艳,张建元.锥度量空间中c-距离下的不动点定理[J].纯粹数学与应用数学,2015,31(6):581-587.
[8]ZAID M F,ABD G B A,GOLUBOVIC Z. Fixed point theorems of single-valued mapping for c-distance in cone metric spaces[J]. Abstract and Applied Analysis,2012(2012):826815.
[9]RAHMA Z,MOHD S M N,FAWZIA S. A fixed point theorem on partially ordered cone metric space with c-distance[J]. American Institute of Physics,2016(2016). doi:10.1063/1.4966821.050002-1-050002-5.
[10]CHO Y J,REZA S,WANG S H. Common fixed point theorems on generalized distance in ordered cone metric spaces[J]. Computers and Mathematics with Applications,2011,61(1):1254-1260.
[11]RUDIN W. Functional Analysis[M]. 2nd.北京:机械工业出版社,2006.
[12]YAN Q,YIN J D,WANG T. Fixed point and common fixed point theorems on ordered cone metric spaces over Banach algebras[J]. J Nonlinear Science and Applications,2016,9(5):1581-1589.
[13]HUANG H P,HU S L,POPOVIC'B Z,et al. Common fixed point theorems for four mappings on cone b-metric spaces over Banach algebras[J]. J Nonlinear Science and Applications,2016,9(12):3655-3671.
[14]ZAID M F,ABD G B A,LJILJANA P. New Fixed Point Results of Single-Valued Mapping for c-Distance in Cone Metric Spaces[J]. Fixed Point Theory and Applications,2012(2012):639713. doi:10.1155/2012/639713.
[15]DOREVI M,DORIC D,KADELBURG Z,et al. Fixed point results under c-distance in tvs-cone metric spaces[J]. Fixed Point Theory and Applications,2011(2011):29. doi:10.1186/1687-1812-2011-29.
[16]张石生.不动点理论及应用[M].重庆:重庆出版社,1984.