Some convergence theorems under new conditions with MT-functions and nonlinear cyclic mappings
碩士 === 國立高雄師範大學 === 數學系 === 105 === Let A and B be nonempty subsets of a metric space (X,d) and T:A∪B →A∪B be a cyclic mapping.In this paper, we establish some new convergence theorems for new nonlinear mapping satisfying: (L) there exists an MT-function φ:[0,∞)→[0,1) such that d(Tx,Ty)≤ φ(d...
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ndltd-TW-104NKNU04790302017-08-12T04:35:58Z http://ndltd.ncl.edu.tw/handle/77606667498657341123 Some convergence theorems under new conditions with MT-functions and nonlinear cyclic mappings 在具有MT-函數及非線性映射條件下的一些收斂定理 LIANG,ZENG-SHENG 梁增勝 碩士 國立高雄師範大學 數學系 105 Let A and B be nonempty subsets of a metric space (X,d) and T:A∪B →A∪B be a cyclic mapping.In this paper, we establish some new convergence theorems for new nonlinear mapping satisfying: (L) there exists an MT-function φ:[0,∞)→[0,1) such that d(Tx,Ty)≤ φ(d(x,y))max{1/9[2d(x,y)+3d(Tx,Ty)+2d(x,Ty)] , 1/4[2d(y,Ty)+d(x,Ty)]}+(1-φ(d(x, y)))dist(A,B) for all x∈A and y∈B. DU,WEI-SHIH 杜威仕 2017 學位論文 ; thesis 24 en_US |
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碩士 === 國立高雄師範大學 === 數學系 === 105 === Let A and B be nonempty subsets of a metric space (X,d) and T:A∪B →A∪B be a cyclic mapping.In this paper, we establish some new convergence theorems for new nonlinear mapping satisfying:
(L) there exists an MT-function φ:[0,∞)→[0,1) such that
d(Tx,Ty)≤ φ(d(x,y))max{1/9[2d(x,y)+3d(Tx,Ty)+2d(x,Ty)] ,
1/4[2d(y,Ty)+d(x,Ty)]}+(1-φ(d(x, y)))dist(A,B)
for all x∈A and y∈B.
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DU,WEI-SHIH |
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DU,WEI-SHIH LIANG,ZENG-SHENG 梁增勝 |
author |
LIANG,ZENG-SHENG 梁增勝 |
spellingShingle |
LIANG,ZENG-SHENG 梁增勝 Some convergence theorems under new conditions with MT-functions and nonlinear cyclic mappings |
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LIANG,ZENG-SHENG |
title |
Some convergence theorems under new conditions with MT-functions and nonlinear cyclic mappings |
title_short |
Some convergence theorems under new conditions with MT-functions and nonlinear cyclic mappings |
title_full |
Some convergence theorems under new conditions with MT-functions and nonlinear cyclic mappings |
title_fullStr |
Some convergence theorems under new conditions with MT-functions and nonlinear cyclic mappings |
title_full_unstemmed |
Some convergence theorems under new conditions with MT-functions and nonlinear cyclic mappings |
title_sort |
some convergence theorems under new conditions with mt-functions and nonlinear cyclic mappings |
publishDate |
2017 |
url |
http://ndltd.ncl.edu.tw/handle/77606667498657341123 |
work_keys_str_mv |
AT liangzengsheng someconvergencetheoremsundernewconditionswithmtfunctionsandnonlinearcyclicmappings AT liángzēngshèng someconvergencetheoremsundernewconditionswithmtfunctionsandnonlinearcyclicmappings AT liangzengsheng zàijùyǒumthánshùjífēixiànxìngyìngshètiáojiànxiàdeyīxiēshōuliǎndìnglǐ AT liángzēngshèng zàijùyǒumthánshùjífēixiànxìngyìngshètiáojiànxiàdeyīxiēshōuliǎndìnglǐ |
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1718516100785766400 |