Some new convergence theorems for new nonlinear conditions with MT-functions
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 study the following condition: • there exists an MT-funtion ϕ : [0,∞) → [0,1) such that d(Tx,Ty) ≤1/3ϕ(d(x,y))max{d(x,Tx) + d(y,Ty) + d(Tx,Ty), d(x,y)...
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ndltd-TW-105NKNU04790172017-08-10T04:14:00Z http://ndltd.ncl.edu.tw/handle/28643459535105681547 Some new convergence theorems for new nonlinear conditions with MT-functions 一些新的具有 MT-函數的非線性條件之新收斂定理 WANG,CHIU-YA 王秋雅 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 study the following condition: • there exists an MT-funtion ϕ : [0,∞) → [0,1) such that d(Tx,Ty) ≤1/3ϕ(d(x,y))max{d(x,Tx) + d(y,Ty) + d(Tx,Ty), d(x,y) + d(x,Ty) + d(y,Tx)}+ (1−ϕ(d(x,y)))dist(A,B) for all x ∈ A and y ∈ B. By using MT-functions and explore new nonlinear cyclic mappings, we establish some convergence theorems on metric spaces. LIN, ING-JER 林英哲 2017 學位論文 ; thesis 32 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 study the following condition:
• there exists an MT-funtion ϕ : [0,∞) → [0,1) such that
d(Tx,Ty) ≤1/3ϕ(d(x,y))max{d(x,Tx) + d(y,Ty) + d(Tx,Ty), d(x,y) + d(x,Ty) + d(y,Tx)}+ (1−ϕ(d(x,y)))dist(A,B)
for all x ∈ A and y ∈ B.
By using MT-functions and explore new nonlinear cyclic mappings, we establish some convergence theorems on metric spaces.
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LIN, ING-JER |
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LIN, ING-JER WANG,CHIU-YA 王秋雅 |
author |
WANG,CHIU-YA 王秋雅 |
spellingShingle |
WANG,CHIU-YA 王秋雅 Some new convergence theorems for new nonlinear conditions with MT-functions |
author_sort |
WANG,CHIU-YA |
title |
Some new convergence theorems for new nonlinear conditions with MT-functions |
title_short |
Some new convergence theorems for new nonlinear conditions with MT-functions |
title_full |
Some new convergence theorems for new nonlinear conditions with MT-functions |
title_fullStr |
Some new convergence theorems for new nonlinear conditions with MT-functions |
title_full_unstemmed |
Some new convergence theorems for new nonlinear conditions with MT-functions |
title_sort |
some new convergence theorems for new nonlinear conditions with mt-functions |
publishDate |
2017 |
url |
http://ndltd.ncl.edu.tw/handle/28643459535105681547 |
work_keys_str_mv |
AT wangchiuya somenewconvergencetheoremsfornewnonlinearconditionswithmtfunctions AT wángqiūyǎ somenewconvergencetheoremsfornewnonlinearconditionswithmtfunctions AT wangchiuya yīxiēxīndejùyǒumthánshùdefēixiànxìngtiáojiànzhīxīnshōuliǎndìnglǐ AT wángqiūyǎ yīxiēxīndejùyǒumthánshùdefēixiànxìngtiáojiànzhīxīnshōuliǎndìnglǐ |
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1718514615534485504 |