Common solution to an equilibrium problem and a fixed point problem for an asymptotically quasi-φ-nonexpansive mapping in intermediate sense

被引：0

作者：

Kazmi, K. R. ^{[1
]}

Ali, Rehan ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2017年 / 111卷 / 03期

关键词：

Equilibrium problem; Asymptotically quasi-phi-nonexpansive mapping in intermediate sense; Hybrid iterative method; CONVERGENCE THEOREMS; HYBRID METHOD;

D O I：

10.1007/s13398-016-0331-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce and study an iterative method for solving an equilibrium problem and a fixed point problem for an asymptotically quasi-phi-nonexpansive mapping in intermediate sense in Banach space. We prove that the sequences generated by iterative algorithm converge strongly to a common solution of these problems in a uniformly smooth and strictly convex Banach space.

引用

页码：877 / 889

页数：13

共 50 条

[1] Convergence theorems for equilibrium problem and asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
Jae Ug Jeong
[J]. Fixed Point Theory and Applications, 2014
[2] Convergence theorems for equilibrium problem and asymptotically quasi-φ-nonexpansive mappings in the intermediate sense
Jeong, Jae Ug
[J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
[3] A SPLIT EQUILIBRIUM PROBLEM AND A FIXED POINT PROBLEM OF QUASI-φ-NONEXPANSIVE MAPPING IN BANACH SPACES
Ma, Zhaoli
Wang, Lin
Gao, Yi
Liu, Yali
[J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2019, 2019
[4] CONVERGENCE TO COMMON FIXED POINT FOR A PAIR OF QUASI-NONEXPANSIVE MAPPING AND ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPING IN THE INTERMEDIATE SENSE
Saluja, G. S.
[J]. MISKOLC MATHEMATICAL NOTES, 2015, 16 (01) : 463 - 473
[5] On Asymptotically Quasi-φ-Nonexpansive Mappings in the Intermediate Sense
Qin, Xiaolong
Wang, Lin
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[6] On the split feasibility problem and fixed point problem of quasi-ϕ-nonexpansive mapping in Banach spaces
Zhaoli Ma
Lin Wang
Shih-sen Chang
[J]. Numerical Algorithms, 2019, 80 : 1203 - 1218
[7] On the split feasibility problem and fixed point problem of quasi-φ-nonexpansive mapping in Banach spaces
Ma, Zhaoli
Wang, Lin
Chang, Shih-sen
[J]. NUMERICAL ALGORITHMS, 2019, 80 (04) : 1203 - 1218
[8] Approximation of common solutions for a fixed point problem of asymptotically nonexpansive mapping and a generalized equilibrium problem in Hilbert space
Richard Osward
Santosh Kumar
Mengistu Goa Sangago
[J]. Journal of the Egyptian Mathematical Society, 27 (1)
[9] On a Hybrid Method for Generalized Mixed Equilibrium Problem and Fixed Point Problem of a Family of Quasi-φ-Asymptotically Nonexpansive Mappings in Banach Spaces
Liu, Min
Chang, Shih-sen
Zuo, Ping
[J]. FIXED POINT THEORY AND APPLICATIONS, 2010,
[10] Some results on asymptotically quasi-φ-nonexpansive mappings in the intermediate sense and equilibrium problems
Huang, Chunyan
Ma, Xiaoyan
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,

← 1 2 3 4 5 →