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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Main Authors:	WANG,CHIU-YA, 王秋雅
Other Authors:	LIN, ING-JER
Format:	Others
Language:	en_US
Published:	2017
Online Access:	http://ndltd.ncl.edu.tw/handle/28643459535105681547

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spelling	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
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	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.
author2	LIN, ING-JER
author_facet	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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Some new convergence theorems for new nonlinear conditions with MT-functions

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