CONVERGENCE THEOREMS FOR OPERATORS WITH CONDITION (E) IN HYPERBOLIC SPACES

被引：0

作者：

Calineata, Cristina ^{[1
]}

Ciobanescu, Cristian ^{[1
]}

机构：

[1] Univ Politehn Bucuresti, Dept Math & Informat, Bucharest 060042, Romania

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2022年 / 84卷 / 04期

关键词：

hyperbolic spaces; condition (E); -convergence; S-n iteration; APPROXIMATING FIXED-POINTS; B-METRIC SPACES; NONEXPANSIVE ITERATIONS; MAPPINGS; SCHEME;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce convergence results of iteration process Sn, by Sintunavarat and Pitea [J. Nonlinear Sci. Appl., 2016, 9, 2553-2562] in the framework of hyperbolic spaces, introduced by Kohlenbach [Trans. Am. Math. Soc., 2005, 357, 89-128]. This study is carried out on a remarkable class of operators, that of mappings with condition (E), introduced by Garcia-Falset et al. [J. Math. Anal. Appl., 2011, 375, 185-195]. This work presents both results on delta-convergence and also some strong convergence results, under additional conditions. We conclude the paper with at least two possible ways for further study.

引用

页码：9 / 18

页数：10

共 32 条

[1] Existence and approximation results for SKC mappings in CAT(0) spaces
Abbas, Mujahid
Khan, Safeer Hussain
Postolache, Mihai
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[2] Convergence, weak w2 stability, and data dependence results for the F iterative scheme in hyperbolic spaces
Ahmad, Junaid
Ullah, Kifayat
Arshad, Muhammad
[J]. NUMERICAL ALGORITHMS, 2022, 91 (04) : 1755 - 1778
[3] Existence theorem for integral inclusions by a fixed point theorem for multivalued implicit-type contractive mappings
Ali, Muhammad Usman
Pitea, Ariana
[J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2021, 26 (02): : 334 - 348
[4] Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem
Ali, Muhammad Usman
Kamran, Tayyab
Postolache, Mihai
[J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2017, 22 (01): : 17 - 30
[5] Coupled fixed point results for (ψ, φ)-weakly contractive mappings in ordered G-metric spaces
Aydi, Hassen
Postolache, Mihai
Shatanawi, Wasfi
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (01) : 298 - 309
[6] Common Fixed Points of Operators with Property (E) in CAT(0) Spaces
Bejenaru, Andreea
Ciobanescu, Cristian
[J]. MATHEMATICS, 2022, 10 (03)
[7] A unifying approach for some nonexpansiveness conditions on modular vector spaces
Bejenaru, Andreea
Postolache, Mihai
[J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2020, 25 (05): : 827 - 845
[8] Fixed Point Theorems and Convergence Theorems for a New Generalized Nonexpansive Mapping
Cai Donghan
Shi Jie
Liu Weiyi
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2018, 39 (16) : 1742 - 1754
[9] On Δ-convergence theorems in CAT(0) spaces
Dhompongsa, S.
Panyanak, B.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (10) : 2572 - 2579
[10] Fixed point theory for a class of generalized nonexpansive mappings
Garcia-Falset, Jesus
Llorens-Fuster, Enrique
Suzuki, Tomonari
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 375 (01) : 185 - 195

← 1 2 3 4 →