COMMON SOLUTION OF SPLIT EQUILIBRIUM PROBLEM AND FIXED POINT PROBLEM WITH NO PRIOR KNOWLEDGE OF OPERATOR NORM

被引：0

作者：

Abass, H. A. ^{[1
]}

Ogbuisi, F. U. ^{[1
,2
]}

Mewomo, O. T. ^{[1
]}

机构：

[1] Univ Kwazulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa

[2] DST NRF Ctr Excellence Math & Stat Sci CoE MaSS, Johannesburg, South Africa

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2018年 / 80卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

split equilibrium problem; quasi-nonexpansive multi-valued mappings; iterative scheme; Fixed point problem; HILBERT-SPACES; NONEXPANSIVE-MAPPINGS; FEASIBILITY PROBLEM; STRONG-CONVERGENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce an iterative algorithm that does not require any knowledge of the operator norm for finding a common solution of split equilibrium problem and fixed point problem for infinite family of quasi-nonexpansive multi-valued mappings in real Hilbert spaces. Using our iterative algorithm, we state and prove a strong convergence result for approximating a common solution of split equilibrium problem and fixed point problem for infinite family of quasi-nonexpansive multi-valued mappings which also solves some variational inequality problem in real Hilbert spaces. An application and a numerical example were also given. Our result complement some related results in literature.

引用

页码：175 / 190

页数：16

共 50 条

[1] A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm
Gupta, Nishu
Postolache, Mihai
Nandal, Ashish
Chugh, Renu
[J]. MATHEMATICS, 2021, 9 (04) : 1 - 19
[2] On split generalised mixed equilibrium problems and fixed-point problems with no prior knowledge of operator norm
Ogbuisi, F. U.
Mewomo, O. T.
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (03) : 2109 - 2128
[3] On split generalised mixed equilibrium problems and fixed-point problems with no prior knowledge of operator norm
F. U. Ogbuisi
O. T. Mewomo
[J]. Journal of Fixed Point Theory and Applications, 2017, 19 : 2109 - 2128
[4] Algorithm for split variational inequality, split equilibrium problem and split common fixed point problem
Rathee, Savita
Swami, Monika
[J]. AIMS MATHEMATICS, 2022, 7 (05): : 9325 - 9338
[5] Viscosity Approximation Methods for Split Common Fixed Point Problems without Prior Knowledge of the Operator Norm
Jailoka, Pachara
Suantai, Suthep
[J]. FILOMAT, 2020, 34 (03) : 761 - 777
[6] A modified iterative method for capturing a common solution of split generalized equilibrium problem and fixed point problem
Majee, P.
Nahak, C.
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (04) : 1327 - 1348
[7] Iterative approximation of a common solution of a split generalized equilibrium problem and a fixed point problem for nonexpansive semigroup
Kazmi K.R.
Rizvi S.H.
[J]. Mathematical Sciences, 2013, 7 (1)
[8] A modified iterative method for capturing a common solution of split generalized equilibrium problem and fixed point problem
P. Majee
C. Nahak
[J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018, 112 : 1327 - 1348
[9] Solving variational inequality and split equality common fixed-point problem without prior knowledge of operator norms
Zhao, Jing
Zong, Haili
Liu, Guangxuan
Zhang, Hang
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (09): : 5428 - 5440
[10] ON SYSTEM OF SPLIT GENERALISED MIXED EQUILIBRIUM AND FIXED POINT PROBLEMS FOR MULTIVALUED MAPPINGS WITH NO PRIOR KNOWLEDGE OF OPERATOR NORM
Alakoya, T. O.
Taiwo, A.
Mewomo, O. T.
[J]. FIXED POINT THEORY, 2022, 23 (01): : 45 - 48

← 1 2 3 4 5 →