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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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2017
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| Online Access: | http://ndltd.ncl.edu.tw/handle/77606667498657341123 |
| Summary: | 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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