G-度量空间中满足公共(E.A)性质的映像对的公共不动点定理
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摘要
在G-度量空间中,利用映像对满足公共(E.A)性质和弱相容这一条件,证明了几个新的公共不动点定理.同时本文提供一个具体例子,用以支持该新结果.
In the framework of G-metric space, some new fixed point theorems are proved in the condition of mapping pair satisfying common(E,A) property and weak compatible. Meantime, a specific example is provided to support the newresult.
In the framework of G-metric space, some new fixed point theorems are proved in the condition of mapping pair satisfying common(E,A) property and weak compatible. Meantime, a specific example is provided to support the newresult.
引文
[1]MUSTAFA Z,SIMS B.A new approach to a generalized metric spaces[J].Nonlinear Convex Anal,2006,7(2):289-297.
[2]MUSTAFA Z,SIMS B.Fixed point theorems for contractive mappings in complete G-metric spaces[J].Fixed Point Theory and Application,2009,2009:917175.
[3]AYDI H.A fixed point result involving ageneralized weakly contractive condition in G-metric paces[J].Bulletin of Mathematical Analysis and Applications,2011,3(4):180-188.
[4]GU F.Some new common coupled fixed point results in two generalized metric spaces[J].Fixed Point Theory and Applications,2013,2013:181.
[5]GU F.Common fixed point theorems for six mappings in generalized metric spaces[J].Abstract and Applied Analysis,2012,Article ID379212,1-21.
[6]GU F,YANG Z.Some new common fixed point results for three pairs of mappings in generalized metric spaces[J].Fixed Point Theory and Applications,2013,2013:174.
[7]叶洪清,谷峰.G-度量空间中Altman积分型映象的几个新的公共不动点定理[J].纯粹数学与应用数学,2012,28(6):845-852.
[8]周书行,谷峰.G-度量空间中两对非相容映象的几个新的公共不动点定理[J].纯粹数学与应用数学,2012,28(3):418-426.
[9]尹云,谷峰.G-度量空间中四个映象的公共不动点定理[J].杭州师范大学学报(自然科学版),2012,11(6):511-515.
[10]叶洪清,陆竞,谷峰.G-度量空间中Af型非相容映象对的一个新的公共不动点定理[J].杭州师范大学学报(自然科学版),2013,12(1):50-56.
[11]GU F,YIN Y.Common fixed point for three pairs of self-maps satisfying common(E.A)property in generalized metric spaces[J].Abstract and Applied Analysis,2013,2013:808092.
[12]GU F,SHATANAWI W.Common fixed point for generalized weakly G-contraction mappings satisfying common(E.A)property in G-metric spaces[J].Fixed Point Theory and Applications,2013,2013:309.
[13]JUNGCK G,RHOADES B E.Fixed points for set valued functions without continuity[J].Indian Journal of Pure and Applied Mathematics,1998,29(3):227-238.
[14]ABBAS M,NAZIR T,DORIC D.Common fixed point of mappings satisfying(E.A)property in generalized metric spaces[J].Applied Mathematics and Computation,2012,218(14):7665-7670.
[15]VATS R K,KUMARS,SIHAG V.Some common fixed point theorems for compatible mappings of type(A)in complete G-metric space[J].Advances in Fuzzy Mathematics,2011,6(1):27-38.
[2]MUSTAFA Z,SIMS B.Fixed point theorems for contractive mappings in complete G-metric spaces[J].Fixed Point Theory and Application,2009,2009:917175.
[3]AYDI H.A fixed point result involving ageneralized weakly contractive condition in G-metric paces[J].Bulletin of Mathematical Analysis and Applications,2011,3(4):180-188.
[4]GU F.Some new common coupled fixed point results in two generalized metric spaces[J].Fixed Point Theory and Applications,2013,2013:181.
[5]GU F.Common fixed point theorems for six mappings in generalized metric spaces[J].Abstract and Applied Analysis,2012,Article ID379212,1-21.
[6]GU F,YANG Z.Some new common fixed point results for three pairs of mappings in generalized metric spaces[J].Fixed Point Theory and Applications,2013,2013:174.
[7]叶洪清,谷峰.G-度量空间中Altman积分型映象的几个新的公共不动点定理[J].纯粹数学与应用数学,2012,28(6):845-852.
[8]周书行,谷峰.G-度量空间中两对非相容映象的几个新的公共不动点定理[J].纯粹数学与应用数学,2012,28(3):418-426.
[9]尹云,谷峰.G-度量空间中四个映象的公共不动点定理[J].杭州师范大学学报(自然科学版),2012,11(6):511-515.
[10]叶洪清,陆竞,谷峰.G-度量空间中Af型非相容映象对的一个新的公共不动点定理[J].杭州师范大学学报(自然科学版),2013,12(1):50-56.
[11]GU F,YIN Y.Common fixed point for three pairs of self-maps satisfying common(E.A)property in generalized metric spaces[J].Abstract and Applied Analysis,2013,2013:808092.
[12]GU F,SHATANAWI W.Common fixed point for generalized weakly G-contraction mappings satisfying common(E.A)property in G-metric spaces[J].Fixed Point Theory and Applications,2013,2013:309.
[13]JUNGCK G,RHOADES B E.Fixed points for set valued functions without continuity[J].Indian Journal of Pure and Applied Mathematics,1998,29(3):227-238.
[14]ABBAS M,NAZIR T,DORIC D.Common fixed point of mappings satisfying(E.A)property in generalized metric spaces[J].Applied Mathematics and Computation,2012,218(14):7665-7670.
[15]VATS R K,KUMARS,SIHAG V.Some common fixed point theorems for compatible mappings of type(A)in complete G-metric space[J].Advances in Fuzzy Mathematics,2011,6(1):27-38.