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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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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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.
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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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