Abstract metric spaces and approximating fixed points of a pair of contractive type mappings

被引：0

作者：

Abbas, M. ^{[1
]}

Jovanovic, Mirko ^{[2
]}

Radenovic, S. ^{[3
]}

Sretenovic, Aleksandra ^{[3
]}

Simic, Suzana ^{[4
]}

机构：

[1] Lahore Univ Management Sci, Dept Math, Lahore 54792, Pakistan

[2] Univ Belgrade, Fac Elect Engn, Belgrade 11000, Serbia

[3] Univ Belgrade, Fac Mech Engn, Beograd 11120, Serbia

[4] Fac Sci, Dept Math, Kragujevac 34000, Serbia

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2011年 / 13卷 / 02期

关键词：

Convex abstract metric spaces; Ishikawa type iteration process with errors; Normal and non-normal cone; Uniformly quasi-Lipschitzian mappings; CONVERGENCE; THEOREMS;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Recently, Chao Wang, Jinghao Zhu, Bosko Damjanovie, Liang-gen Hu [Approximating fixed points of a pair of contractive type mappings in generalized convex metric spaces, Applied Mathematics and Computation 215 (2009) 1522-1525] proved some results for an Ishikawa type iteration process with errors, which converges to the unique common fixed point of a pair of contractive type mappings in complete generalized convex metric spaces. The aim of this paper is to consider this in the frame of abstract (cone) metric spaces. We extend some fixed point results of these mappings from complete generalized convex metric spaces to convex abstract metric spaces with the solid cone. Also, we have improved some results. Four examples are included.

引用

页码：243 / 253

页数：11

共 50 条

[1] Approximating fixed points of a pair of contractive type mappings in generalized convex metric spaces
Wang, Chao
Zhu, Jinghao
Damjanovic, Bosko
Hu, Liang-gen
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (04) : 1522 - 1525
[2] FIXED POINTS OF A PAIR OF LOCALLY CONTRACTIVE MAPPINGS IN ORDERED PARTIAL METRIC SPACES
Shoaib, Abdullah
Arshad, Muhammad
Azam, Akbar
[J]. MATEMATICKI VESNIK, 2015, 67 (01): : 26 - 38
[3] Approximating common fixed points of noncommuting discontinuous weakly contractive mappings in metric spaces
Berinde, V.
[J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2009, 25 (01) : 13 - 22
[4] Fixed points of a new type of contractive mappings in complete metric spaces
Wardowski, Dariusz
[J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
[5] Fixed points of a new type of contractive mappings in complete metric spaces
Dariusz Wardowski
[J]. Fixed Point Theory and Applications, 2012
[6] APPROXIMATING FIXED POINTS OF NONSELF CONTRACTIVE TYPE MAPPINGS IN BANACH SPACES ENDOWED WITH A GRAPH
Balog, Laszlo
Berinde, Vasile
Pacurar, Madalina
[J]. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2016, 24 (02): : 27 - 43
[7] METRIC FIXED POINTS FOR CONTRACTIVE TYPE MAPPINGS AND APPLICATIONS
Latif, A.
Al Subaie, R. F.
Alansari, M. O.
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (03) : 501 - 511
[8] Fixed points of Suzuki contractive mappings in relational metric spaces
Gopi Prasad
Ramesh Chandra Dimri
Ayush Bartwal
[J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2020, 69 : 1347 - 1358
[9] On Fixed Points of α-ψ-Contractive Multivalued Mappings in Cone Metric Spaces
Kutbi, Marwan Amin
Ahmad, Jamshaid
Azam, Akbar
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[10] FIXED POINTS OF CONTRACTIVE MAPPINGS ON COMPLETE CONE METRIC SPACES
Sahin, I.
Telci, M.
[J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2009, 38 (01): : 59 - 67

← 1 2 3 4 5 →