Strong Convergence Theorems for Countable Lipschitzian Mappings and Its Applications in Equilibrium and Optimization Problems

Liping Yang; Yongfu Su

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Strong Convergence Theorems for Countable Lipschitzian Mappings and Its Applications in Equilibrium and Optimization Problems

机译：可数Lipschitzian映象的强收敛定理及其在均衡和优化问题中的应用

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摘要

The purpose of this paper is to propose a modified hybrid method in mathematical programming and to obtain some strong convergence theorems for common fixed points of a countable family of Lipschitzian mappings. Further, we apply our results to solve the equilibrium and optimization problems. The results of this paper improved and extended the results of W. Nilsrakoo and S. Saejung (2008) and some others in some respects.

机译：本文的目的是在数学编程中提出一种改进的混合方法，并为可数Lipschitzian映射族的公共不动点获得一些强收敛定理。此外，我们将我们的结果用于解决均衡和优化问题。本文的结果在某些方面改进和扩展了W. Nilsrakoo和S. Saejung（2008）等的结果。

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《Fixexd point theory and applications》 |2009年第1期|共12页
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Liping Yang; Yongfu Su;
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1. Strong convergence theorems for a countable family of quasi-Lipschitzian mappings and its applications [J] . Nilsrakoo W., Saejung S. Journal of Mathematical Analysis and Applications . 2009,第1期

机译：数个拟Lipschitzian映射族的强收敛定理及其应用
2. Weak and strong convergence theorems for countable Lipschitzian mappings and its applications [J] . Nisrakoo W, Saejung S Nonlinear Analysis: An International Multidisciplinary Journal . 2008,第8期

机译：可数Lipschitzian映射的弱和强收敛定理及其应用
3. Strong Convergence Theorems for a Countable Family of Lipschitzian Mappings [J] . WeerayuthNilsrakoo, SatitSaejung Abstract and applied analysis . 2010,第3期

机译：Lipschitzian映象可数族的强收敛定理
4. Convergence Theorems for Countable Family Lipschitzian Mappings in Uniformly Convex Banach Spaces [C] . Sun Jing, Yu Yanrong, Chen Rudong 2011 International Conference on Control, Automation and Systems Engineering (CASE) . 2011

机译：一致凸Banach空间中可数家庭Lipschitzian映象的收敛定理
5. STRONG CONVERGENCE THEOREMS FOR EXCHANGEABLE ARRAYS OF RANDOM VARIABLES AND RANDOM ELEMENTS IN BANACH SPACES. [D] . PATTERSON, RONALD FRANK. 1984

机译：Banach空间中随机变量和随机元素的可交换阵列的强收敛定理。
6. Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Bregman Weak Relativity Nonexpansive Mappings in Reflexive Banach Spaces [O] . Habtu Zegeye, Naseer Shahzad -1

机译：自反Banach空间中Bregman弱相对论非扩张映射的有限个族的公共不动点的强收敛定理
7. Strong Convergence Theorems for Countable Lipschitzian Mappings and Its Applications in Equilibrium and Optimization Problems [O] . Liping Yang, Yongfu Su 2009

机译：可数Lipschitzian映象的强收敛定理及其在均衡和优化问题中的应用

Strong Convergence Theorems for Countable Lipschitzian Mappings and Its Applications in Equilibrium and Optimization Problems

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