Common Coupled Fixed Point Theorems on C☆-Algebra-Valued Partial Metric Spaces

被引:1
作者
Mani, Gunaseelan [1 ]
Gnanaprakasam, Arul Joseph [2 ]
Khumalo, Precious B. [3 ,4 ]
Gaba, Yae U. [5 ,6 ,7 ]
机构
[1] Saveetha Inst Med & Tech Sci, Saveetha Sch Engn, Dept Math, Chennai, Tamil Nadu, India
[2] SRM Inst Sci & Technol, Coll Engn & Technol, Fac Engn & Technol, Dept Math, Kanchipuram, Tamil Nadu, India
[3] African Inst Math Sci, 06 Melrose Rd, Muizenberg, Cape Town, South Africa
[4] Sefako Makgatho Hlth Sci Univ, Sch Sci & Technol, Dept Math & Appl Math, POB 60, Molotlegi St Ga Rankuwa, Pretoria, South Africa
[5] AIMS Rwanda Ctr, Quantum Leap Afr QLA, Remera Sect KN 3, Rawanda, South Africa
[6] Inst Math et Sci Phys IMSP UAC, Lab Topologie Fondamentale Computationnelle & Leur, BP 613, Porto novo, Benin
[7] African Ctr Adv Studies ACAS, POB 4477, Yaounde, Cameroon
关键词
PARTIALLY ORDERED SETS; GENERALIZED CONTRACTION; MAPPINGS; UNIQUENESS; EXISTENCE;
D O I
10.1155/2022/3336095
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove common coupled fixed point theorems on complete C?-algebra-valued partial metric spaces. An example and application to support our result are presented.
引用
收藏
页数:8
相关论文
共 49 条
[1]   Common coupled fixed point theorems in cone metric spaces for w-compatible mappings [J].
Abbas, M. ;
Khan, M. Ali ;
Radenovic, S. .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (01) :195-202
[2]   Existence and uniqueness of a common fixed point on partial metric spaces [J].
Abdeljawad, T. ;
Karapinar, E. ;
Tas, K. .
APPLIED MATHEMATICS LETTERS, 2011, 24 (11) :1900-1904
[3]   Coupled Fixed Points for Meir-Keeler Contractions in Ordered Partial Metric Spaces [J].
Abdeljawad, Thabet ;
Aydi, Hassen ;
Karapinar, Erdal .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
[4]  
Alsulami HH, 2016, J INEQUAL APPL, DOI 10.1186/s13660-016-0992-5
[5]   A Generalized Meir-Keeler-Type Contraction on Partial Metric Spaces [J].
Aydi, Hassen ;
Karapinar, Erdal ;
Rezapour, Shahram .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[6]   A Meir-Keeler common type fixed point theorem on partial metric spaces [J].
Aydi, Hassen ;
Karapinar, Erdal .
FIXED POINT THEORY AND APPLICATIONS, 2012, :1-10
[7]   Coupled fixed point results in cone metric spaces for (w)over-tilde-compatible mappings [J].
Aydi, Hassen ;
Samet, Bessem ;
Vetro, Calogero .
FIXED POINT THEORY AND APPLICATIONS, 2011,
[8]   Coupled fixed point results for (ψ, φ)-weakly contractive condition in ordered partial metric spaces [J].
Aydi, Hassen ;
Karapinar, Erdal ;
Shatanawi, Wasfi .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (12) :4449-4460
[9]  
Batul S, 2015, FIXED POINT THEORY A, DOI 10.1186/s13663-015-0393-3
[10]  
Beg I., 2010, J. Nonlinear Sci. Appl, V3, P179, DOI [10.22436/jnsa.003.03.03, DOI 10.22436/JNSA.003.03.03]