IMPLICIT AND EXPLICIT METHODS FOR FINDING FIXED POINTS OF STRICTLY PSEUDO-CONTRACTIVE MAPPINGS IN BANACH SPACES

YONGHONG YAO; NASEER SHAHZAD

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IMPLICIT AND EXPLICIT METHODS FOR FINDING FIXED POINTS OF STRICTLY PSEUDO-CONTRACTIVE MAPPINGS IN BANACH SPACES

机译：Banach空间中严格伪压缩映射的不动点的内隐和外显方法。

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摘要

In this paper, we suggest and analyze two methods for finding fixed points of strictly pseudo-contractive mappings in Banach spaces. We prove that the proposed methods converge strongly to a fixed point of strictly pseudo-contractive mappings which is the unique solution of some variational inequality.

机译：在本文中，我们建议并分析了两种在Banach空间中找到严格伪压缩映射的不动点的方法。我们证明所提出的方法强烈收敛到严格伪压缩映射的一个固定点，这是某些变分不等式的唯一解决方案。

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《Journal of nonlinear and convex analysis》 |2012年第1期|共12页
作者
YONGHONG YAO; NASEER SHAHZAD;
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正文语种 eng
中图分类数学;
关键词
Fixed point; strictly pseudo-contractive mapping; sunny non-expansive mapping; Banach spaces;

机译：不动点;严格伪压缩映射;阳光非膨胀映射;Banach空间;

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专利

1. IMPLICIT AND EXPLICIT METHODS FOR FINDING FIXED POINTS OF STRICTLY PSEUDO-CONTRACTIVE MAPPINGS IN BANACH SPACES [J] . YONGHONG YAO, NASEER SHAHZAD Journal of nonlinear and convex analysis . 2012,第1期

机译：Banach空间中严格伪压缩映射的不动点的内隐和外显方法。
2. A new mapping for finding a common element of the sets of fixed points of two finite families of nonexpansive and strictly pseudo-contractive mappings and two sets of variational inequalities in uniformly convex and 2-smooth Banach spaces [J] . Atid Kangtunyakarn Fixexd point theory and applications . 2013,第1期

机译：在一致凸和2光滑Banach空间中寻找两个有限族的非扩张和严格伪压缩映射的不动点集的公共元素和两组变分不等式的新映射
3. A new mapping for finding a common element of the sets of fixed points of two finite families of nonexpansive and strictly pseudo-contractive mappings and two sets of variational inequalities in uniformly convex and 2-smooth Banach spaces [J] . Atid Kangtunyakarn Fixexd point theory and applications . 2013,第1期

机译：在一致凸和2光滑Banach空间中寻找两个有限族的非扩张和严格伪压缩映射的不动点集的公共元素和两组变分不等式的新映射
4. Convergence theorems for a finite family of strictly asymptotically pseudo-contractive mappings in q-uniformly smooth Banach spaces [C] . Huancheng Zhang, Aimin Yang, Yamian Peng, International Conference on Intelligent Structure and Vibration Control . 2011

机译：Q-均匀平滑的Banach空间中严格渐近伪收缩映射的有限家庭的融合定理
5. Fixed point theorems for pseudo-contractive mappings in Banach spaces. [D] . Ul-Haq, Irfan. 1998

机译：Banach空间中伪压缩映射的不动点定理。
6. The generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space [O] . Wongvisarut Khuangsatung, Pongsakorn Sunthrayuth -1

机译：q一致光滑Banach空间中一族严格伪压缩映射的广义粘度显式规则
7. A new mapping for finding a common element of the sets of fixed points of two finite families of nonexpansive and strictly pseudo-contractive mappings and two sets of variational inequalities in uniformly convex and 2-smooth Banach spaces [O] . Atid Kangtunyakarn 2013

机译：在一致凸和2光滑Banach空间中找到两个有限族的非扩张严格严格伪压缩映射的不动点集的公共元素和两组变分不等式的新映射
8. Approximation of Fixed Points of Lipschitz Pseudo-Contractive Mapping in Banach Spaces [R] . Chidume, C. E. 1988

机译：Banach空间中Lipschitz伪压缩映射不动点的逼近

IMPLICIT AND EXPLICIT METHODS FOR FINDING FIXED POINTS OF STRICTLY PSEUDO-CONTRACTIVE MAPPINGS IN BANACH SPACES

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