APPLICATIONS OF FIXED POINT THEORY IN HILBERT SPACES

被引：0

作者：

Dewangan, Kiran ^{[1
]}

机构：

[1] Govt Dudhadhari Bajrang Girls Postgrad Autonomous, Dept Math, Raipur 492001, Chhattisgarh, India

来源：

KOREAN JOURNAL OF MATHEMATICS | 2024年 / 32卷 / 01期

关键词：

Hilbert space; fixed point; quasi-nonexpansive mappings; Fejer monotone; QUASI-NONEXPANSIVE MAPPINGS; APPROXIMATION; CONSTRUCTION; CONVERGENCE; WEAK;

D O I：

10.11568/kjm.2024.32.1.59

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the presented paper, the first section contains strong convergence and demiclosedness property of a sequence generated by Karakaya et al. iteration scheme in a Hilbert space for quasi-nonexpansive mappings and also the comparison between the iteration scheme given by Karakaya et al. with well-known iteration schemes for the convergence rate. The second section contains some applications of the fixed point theory in solution of different mathematical problems.

引用

页码：59 / 72

页数：14

共 50 条

[1] Fixed point theory in symmetric spaces with applications to probabilistic spaces
Hicks, TL
Rhoades, BE
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (03) : 331 - 344
[2] Fixed point theorems for a class of nonlinear operators in Hilbert spaces and applications
Cui, Yujun
Sun, Jingxian
POSITIVITY, 2011, 15 (03) : 455 - 464
[3] Fixed point theorems for a class of nonlinear operators in Hilbert spaces and applications
Yujun Cui
Jingxian Sun
Positivity, 2011, 15 : 455 - 464
[4] Applications of the proximity map to random fixed point theorems in Hilbert spaces
Beg, I
Shahzad, N
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 196 (02) : 606 - 613
[5] On variational inclusion and common fixed point problems in Hilbert spaces with applications
Yan Hao
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (07) : 3000 - 3010
[6] Fixed Point Theory in α-Complete Metric Spaces with Applications
Hussain, N.
Kutbi, M. A.
Salimi, P.
ABSTRACT AND APPLIED ANALYSIS, 2014,
[7] FIXED POINT THEOREMS FOR NEW GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES AND APPLICATIONS
Takahashi, Wataru
Wong, Ngai-Ching
Yao, Jen-Chih
TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17 (05): : 1597 - 1611
[8] Stability of the fixed point property for Hilbert spaces
Rambla-Barreno, F.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 509 (02)
[9] ON INCLUSION AND FIXED POINT PROBLEMS IN HILBERT SPACES
Cho, S. Y.
Wong, M-M
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (01) : 213 - 224
[10] Stability of the fixed point property of Hilbert spaces
Lin, PK
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (12) : 3573 - 3581

← 1 2 3 4 5 →