一个模糊压缩映射不动点定理
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摘要
证明了一个完备距离空间中模糊压缩映射公共不动点定理,并给出了一个合理的不等式.
In this paper, we prove a common fixed point theorem for contractive type fuzzy mappings and a rational inequality in a complete metric space.
In this paper, we prove a common fixed point theorem for contractive type fuzzy mappings and a rational inequality in a complete metric space.
引文
[1]Park J Y,Jeong J U.Fixed point theorems for fuzzy mappings[J].Fuzzy Sets Syst,1997:87:111-116.
[2]Vijayaraju P,Marudai M.Fixed point theorems for fuzzy mappings[J].Fuzzy Sets Syst,2003,135:401-408.
[3]Nadler S B.Multi valued contraction mappings[J].Pacific J Math,1969,30:475-488.
[4]Akbar A,Muhammad A.A note on“Fixed point theorems for fuzzy mappings”by P.Vijayaraju and M.Marudai[J].Fuzzy Sets and Systems,2010,161:1145-1149.
[5]Cho S-H.Fixed point theorems for fuzzy mapping[J].Appl Math Comput,2005,19:485-492.
[6]Cabrea I,Harjani J K.Sadarangani A fixed point theorem for contractions of rational type in partially ordered metric spaces[J].Ann Univ Ferrara,2013,59:251-258.
[7]范传强.模糊数值直觉模糊群的性质及一个重要结论[J].西南师范大学学报:自然科学版,2011,36(1):48-51.
[8]汪凯,王莹.(ψ,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):23-26.
[9]Malhotra S K,Stojan R,Satish S.Some fixed point results without monotone property in partially ordered metic-like spaces[J].Journal of the Egyptian Mathematical Society,2014,22:83-89.
[10]Chandok S,Khan M S,Rao K P R.Some coupled common fixed point theorems for a pair of mappings satisfying a contractive condition of rational type[J].Nonlinear Anal Appl,2013(2013):1-6.
[2]Vijayaraju P,Marudai M.Fixed point theorems for fuzzy mappings[J].Fuzzy Sets Syst,2003,135:401-408.
[3]Nadler S B.Multi valued contraction mappings[J].Pacific J Math,1969,30:475-488.
[4]Akbar A,Muhammad A.A note on“Fixed point theorems for fuzzy mappings”by P.Vijayaraju and M.Marudai[J].Fuzzy Sets and Systems,2010,161:1145-1149.
[5]Cho S-H.Fixed point theorems for fuzzy mapping[J].Appl Math Comput,2005,19:485-492.
[6]Cabrea I,Harjani J K.Sadarangani A fixed point theorem for contractions of rational type in partially ordered metric spaces[J].Ann Univ Ferrara,2013,59:251-258.
[7]范传强.模糊数值直觉模糊群的性质及一个重要结论[J].西南师范大学学报:自然科学版,2011,36(1):48-51.
[8]汪凯,王莹.(ψ,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):23-26.
[9]Malhotra S K,Stojan R,Satish S.Some fixed point results without monotone property in partially ordered metic-like spaces[J].Journal of the Egyptian Mathematical Society,2014,22:83-89.
[10]Chandok S,Khan M S,Rao K P R.Some coupled common fixed point theorems for a pair of mappings satisfying a contractive condition of rational type[J].Nonlinear Anal Appl,2013(2013):1-6.