Strong Convergence Theorems for Fixed Points and Systems of Generalized Equilibrium Problems with Applications to Optimization Theory

碩士 === 國立彰化師範大學 === 數學系所 === 99 === In this paper, we find a common solution for the system of equilibrium problems and fixed points of a strictly pseudo-contractive mapping. We prove the strong convergence theorem based on shrinking projection in a real Hilbert space. Then we apply our results to s...

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Main Authors: Bo-Jun Peng, 彭柏鈞
Other Authors: Lai-Jiu Lin
Format: Others
Language:en_US
Published: 2011
Online Access:http://ndltd.ncl.edu.tw/handle/38402676636001742958
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spelling ndltd-TW-099NCUE54790102016-04-11T04:22:19Z http://ndltd.ncl.edu.tw/handle/38402676636001742958 Strong Convergence Theorems for Fixed Points and Systems of Generalized Equilibrium Problems with Applications to Optimization Theory 固定點之強收斂定理及系統平衡點問題在優化理論上之應用 Bo-Jun Peng 彭柏鈞 碩士 國立彰化師範大學 數學系所 99 In this paper, we find a common solution for the system of equilibrium problems and fixed points of a strictly pseudo-contractive mapping. We prove the strong convergence theorem based on shrinking projection in a real Hilbert space. Then we apply our results to study a common solution of system of mixed equilibrium problems and fixed point of a strict pseudo-contractive mapping in a Hilbert space mathematical program with system of mixed equilibrium problems and fixed points constraints. Lai-Jiu Lin 林來居 2011 學位論文 ; thesis 32 en_US
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description 碩士 === 國立彰化師範大學 === 數學系所 === 99 === In this paper, we find a common solution for the system of equilibrium problems and fixed points of a strictly pseudo-contractive mapping. We prove the strong convergence theorem based on shrinking projection in a real Hilbert space. Then we apply our results to study a common solution of system of mixed equilibrium problems and fixed point of a strict pseudo-contractive mapping in a Hilbert space mathematical program with system of mixed equilibrium problems and fixed points constraints.
author2 Lai-Jiu Lin
author_facet Lai-Jiu Lin
Bo-Jun Peng
彭柏鈞
author Bo-Jun Peng
彭柏鈞
spellingShingle Bo-Jun Peng
彭柏鈞
Strong Convergence Theorems for Fixed Points and Systems of Generalized Equilibrium Problems with Applications to Optimization Theory
author_sort Bo-Jun Peng
title Strong Convergence Theorems for Fixed Points and Systems of Generalized Equilibrium Problems with Applications to Optimization Theory
title_short Strong Convergence Theorems for Fixed Points and Systems of Generalized Equilibrium Problems with Applications to Optimization Theory
title_full Strong Convergence Theorems for Fixed Points and Systems of Generalized Equilibrium Problems with Applications to Optimization Theory
title_fullStr Strong Convergence Theorems for Fixed Points and Systems of Generalized Equilibrium Problems with Applications to Optimization Theory
title_full_unstemmed Strong Convergence Theorems for Fixed Points and Systems of Generalized Equilibrium Problems with Applications to Optimization Theory
title_sort strong convergence theorems for fixed points and systems of generalized equilibrium problems with applications to optimization theory
publishDate 2011
url http://ndltd.ncl.edu.tw/handle/38402676636001742958
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