CONVERGENCE THEOREM FOR GENERALIZED MIXED EQUILIBRIUM PROBLEM AND COMMON FIXED POINT PROBLEM FOR A FAMILY OF MULTIVALUED MAPPINGS

被引：0

作者：

Ezeora, J. N. ^{[1
]}

机构：

[1] Ebonyi State Univ, Dept Ind Math & Stat, Abakaliki, Nigeria

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2016年 / 10卷 / 01期

关键词：

equilibrium problem; strict pseudo-contractive mappings; multivalued mappings; Hausdorff metric;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new hybrid iterative algorithm is constructed using the shrinking projection method introduced by Takahashi. The sequence of the algorithm is proved to converge strongly to a common element of the set of solutions of generalized mixed equilibrium problem and the set of common fixed points of a finite family of multivalued strictly pseudocontractive mappings in real Hilbert spaces. Furthermore, we apply our main result to convex minimization problem.

引用

页码：48 / 57

页数：10

共 50 条

[1] On solving the split generalized equilibrium problem and the fixed point problem for a countable family of nonexpansive multivalued mappings
Phuengrattana W.
Lerkchaiyaphum K.
[J]. Fixed Point Theory and Applications, 2018 (1)
[2] A strong convergence theorem for finding a common fixed point of a finite family of bregman nonexpansive mappings in banach spaces which solves a generalized mixed equilibrium problem
Darvish V.
[J]. Bollettino dell'Unione Matematica Italiana, 2016, 9 (4) : 421 - 434
[3] Strong convergence theorem for the modified generalized equilibrium problem and fixed point problem of strictly pseudo-contractive mappings
Suwannaut, Sarawut
Kangtunyakarn, Atid
[J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
[4] Strong convergence theorem for the modified generalized equilibrium problem and fixed point problem of strictly pseudo-contractive mappings
Sarawut Suwannaut
Atid Kangtunyakarn
[J]. Fixed Point Theory and Applications, 2014
[5] VISCOSITY APPROXIMATION FOR THE COMMON FIXED POINT PROBLEM FOR AN INFINITE FAMILY OF MULTIVALUED DEMICONTRACTIVE MAPPINGS
Zhang, Yuanqin
Wang, Yaqin
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2024, 25 (01) : 31 - 44
[6] A Common Minimum-norm Solution of a Generalized Equilibrium Problem and a Fixed Point Problem for a Countable Family of Nonexpansive Mappings
Inprasit, U.
Nilsrakoo, W.
Wattanataweekul, M.
[J]. THAI JOURNAL OF MATHEMATICS, 2014, 12 (02): : 397 - 430
[7] A CONVERGENCE THEOREM FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND MULTIVALUED ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Cho, Sun Young
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (05) : 1017 - 1026
[8] Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings
Aunyarat Bunyawat
Suthep Suantai
[J]. Fixed Point Theory and Applications, 2013
[9] A strong convergence theorem for the split common fixed-point problem of demicontractive mappings
Wang, Jiayan
Fang, Xiaoli
[J]. Applied Set-Valued Analysis and Optimization, 2019, 1 (02): : 105 - 112
[10] Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings
Bunyawat, Aunyarat
Suantai, Suthep
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,

← 1 2 3 4 5 →