An Iterative Algorithm for Generalized Mixed Equilibrium Problems and Fixed Points of Nonexpansive Semigroups 被引量：1

An Iterative Algorithm for Generalized Mixed Equilibrium Problems and Fixed Points of Nonexpansive Semigroups

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摘要 In this works, by using the modified viscosity approximation method associated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive semigroup and generalized mixed equilibrium problems in Hilbert spaces. In this works, by using the modified viscosity approximation method associated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive semigroup and generalized mixed equilibrium problems in Hilbert spaces.

作者 Jong Kyu Kim Salahud din Won Hee Won Hee

机构地区 Department of Mathemarics Education Department of Mathematics

出处《Journal of Applied Mathematics and Physics》 2017年第2期276-293,共18页 应用数学与应用物理（英文）

关键词 Meir-Keeler Contraction MAPPINGS Left Regular Generalized Mixed Equilibrium Problems Variational INEQUALITIES α-Inverse Strongly MONOTONE MAPPINGS NONEXPANSIVE SEMIGROUPS Meir-Keeler Contraction Mappings Left Regular Generalized Mixed Equilibrium Problems Variational Inequalities α-Inverse Strongly Monotone Mappings Nonexpansive Semigroups

分类号 O1 [理学—基础数学]

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1Salahuddin Salahuddin,Mohammad Kalimuddin Ahmad.Stable Perturbed Algorithms for a New Class of Generalized Nonlinear Implicit Quasi Variational Inclusions in Banach Spaces[J].Advances in Pure Mathematics,2012,2(3):139-148. 被引量：2
2Jong Kyu Kim,Sun Young Cho.SOME RESULTS ON GENERALIZED EQUILIBRIUM PROBLEMS INVOLVING STRICTLY PSEUDOCONTRACTIVE MAPPINGS[J].Acta Mathematica Scientia,2011,31(5):2041-2057. 被引量：8

二级参考文献36

1Ceng L C, Ansari Q H, Yao J C. Viscosity approximation methods for generalized equilibrium problems and fixed point problems. J Global Opt, 2009, 43:487-502.
2Chadli O, Schaible S, Yao J C. Regularized equilibrium problems with an application to noncoercive hemivariational inequalities. J Opt Theory Appl, 2004, 121:571-596.
3Chang S S, Lee H W J, Chan C K. A new method for solving equilibrium problem fixed point problem and variational inequMity problem with application to optimization. Nonlinear Anal, 2009, 70:3307-3319.
4Chang S S, Huang J, Wang X, Kim J K. Implicit iteration process for common fixed points of strictly asymptotically pseudocontractive mappings in Banach spaces, Fixed Point Theory Appl, 2008: 1-12, ID 324575.
5Chadli O, Wong N C, Yao J C. Equilibrium problems with applications to eigenvalue problems. J Optim Theory Appl, 2003, 117:245-266.
6Colao V, Marino G, Xu H K. An iterative method for finding common solutions of equilibrium and fixed point problems. J Math Anal Appl, 2008, 344:340-352.
7Iiduka H, Takahashi W. Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings. Nonlinear Anal, 2005, 61:341-350.
8Iiduka H, Takahashi W, Toyoda M. Approximation of solutions of variational inequalities for monotone mappings. Panamer Math J, 2004, 14:49 61.
9Kim J K, Sahu D R, Nam Y M. Convergence theorem for fixed points of nearly uniformly L-lipschitzian asymptotically generalized ~-hemicontractive mappings. Nonlinear Anal TMA, 2009, 71:2833-2838.
10Kim J K, Cho S Y, Qin X. Hybrid projection algorithms for generalized equilibrium problems and strictly pseudocontractive mappings. J Ineq Appl, 2010:1 18, ID 312602.

共引文献8

1Sun Young Cho,Shin Min Kang.APPROXIMATION OF COMMON SOLUTIONS OF VARIATIONAL INEQUALITIES VIA STRICT PSEUDOCONTRACTIONS[J].Acta Mathematica Scientia,2012,32(4):1607-1618. 被引量：4
2蔡钢,步尚金.WEAK CONVERGENCE THEOREMS FOR GENERAL EQUILIBRIUM PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS IN BANACH SPACES[J].Acta Mathematica Scientia,2013,33(1):303-320. 被引量：2
3刘三阳,贺慧敏,陈汝栋.APPROXIMATING SOLUTION OF 0 ∈T(x) FOR AN H-MONOTONE OPERATOR IN HILBERT SPACES[J].Acta Mathematica Scientia,2013,33(5):1347-1360.
4蔡钢,步尚全.Banach空间中关于非扩张映射的修改的Mann迭代算法的强收敛定理[J].数学物理学报（A辑）,2014,34(1):1-8. 被引量：1
5王月虎,张从军.广义均衡问题的算法及强收敛性——基于Wiener-Hopf方程技巧[J].数学物理学报（A辑）,2015,35(4):695-709. 被引量：1
6Xieping DING,SALAHUDDIN.A system of general nonlinear variational inclusions in Banach spaces[J].Applied Mathematics and Mechanics(English Edition),2015,36(12):1663-1672.
7蔡钢,Yekini Shehu.q-一致光滑、一致凸Banach空间中关于变分不等式问题和严格伪压缩映射的不动点问题的粘性迭代算法[J].数学物理学报（A辑）,2016,36(4):623-638.
8王学武.φ-半伪压缩算子对的Ishikawa型迭代程序的收敛性和稳定性[J].数学物理学报（A辑）,2017,37(2):248-256.

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1Kamal Kumar,Laxmi Rathour,Mukesh Kumar Sharma,Vishnu Narayan Mishra.Fixed Point Approximation for Suzuki Generalized Nonexpansive Mapping Using B(δ, μ) Condition[J].Applied Mathematics,2022,13(2):215-227.

1Dinesh Panthi.Some Common Fixed Point Theorems Satisfying Meir-Keeler Type Contractive Conditions[J].Open Journal of Discrete Mathematics,2018,8(2):35-47.
2Shiyun Wang,Jingwen Zhang.N-Order Fixed Point Theory for N-Order Generalized Meir-Keeler Type Contraction in Partially Ordered Metric Spaces[J].Journal of Applied Mathematics and Physics,2019,7(5):1174-1184.
3Hongbo Liu,Yi Li.Convergence Theorem of Hybrid Iterative Algorithm for Equilibrium Problems and Fixed Point Problems of Finite Families of Uniformly Asymptotically Nonexpansive Semigroups[J].Advances in Pure Mathematics,2014,4(6):244-252.
4En-Bing Lin,Yousef Al-Jarrah.A Wavelet Based Method for the Solution of Fredholm Integral Equations[J].American Journal of Computational Mathematics,2012,2(2):114-117.
5Yousef Al-Jarrah,En-Bing Lin.Numerical Solution of Freholm-Volterra Integral Equations by Using Scaling Function Interpolation Method[J].Applied Mathematics,2013,4(1):204-209.
6Qunying Wu.Complete Convergence and Weak Law of Large Numbers for ρ-Mixing Sequences of Random Variables[J].Open Journal of Statistics,2012,2(5):484-490.
7Greg White,Connor Magee.Laboratory Evaluation of Asphalt Containing Recycled Plastic as a Bitumen Extender and Modifier[J].Journal of Traffic and Transportation Engineering,2019,7(5):218-235.

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An Iterative Algorithm for Generalized Mixed Equilibrium Problems and Fixed Points of Nonexpansive Semigroups 被引量：1

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