On Fixed-Point Results in Controlled Partial Metric Type Spaces with a Graph

被引：11

作者：

Souayah, Nizar ^{[1
]}

Mrad, Mehdi ^{[2
]}

机构：

[1] King Saud Univ, Community Coll Al Riyadh, Dept Nat Sci, Riyadh 145111, Saudi Arabia

[2] King Saud Univ, Dept Ind Ingeneering, Coll Engn, Riyadh 145111, Saudi Arabia

来源：

MATHEMATICS | 2020年 / 8卷 / 01期

关键词：

fixed-point; controlled metric type space; partial metric; graph; THEOREMS; PRINCIPLE; MAPPINGS;

D O I：

10.3390/math8010033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, Mlaiki et al. introduced the notion of a controlled metric type space which is a generalization of the b-metric space. In this work, we define the controlled partial metric type space and give some fixed-point theorems for extensions of Kannan contraction in this space with suitable conditions. Moreover, as an application, we derive a fixed-point theorem for graphic contraction on the considered metric space endowed with a graph.

引用

页数：15

共 50 条

[31] Coincidence and fixed point results for generalized weak contractions in the sense of Berinde on partial metric spaces
Shatanawi, Wasfi
Postolache, Mihai
FIXED POINT THEORY AND APPLICATIONS, 2013,
[32] Fixed-Point Results for(θ,G)-Quasirational Contraction in Triple Controlled Metric-Like Spaces With Applications
Farooq, Sadia
Saleem, Naeem
Aphane, Maggie
Razzaque, Asima
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025,
[33] Fixed-Point Results for (a-?)-Fuzzy Contractive Mappings on Fuzzy Double-Controlled Metric Spaces
Azmi, Fatima M. M.
SYMMETRY-BASEL, 2023, 15 (03):
[34] New Results of Fixed-Point Theorems in Complete Metric Spaces
Yaseen, Mustafa T. T.
Ali, Ali Hasan
Al-moneef, Areej A. A.
Bazighifan, Omer
Nofal, Taher A. A.
Ghanim, F.
MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
[35] Fixed point results for multivalued contractions on a metric space with a graph
Dinevari, T.
Frigon, M.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 405 (02) : 507 - 517
[36] Coupled fixed point results for (φ,G)-contractions of type (b) in b-metric spaces endowed with a graph
Chifu, Cristian
Petrusel, Gabriela
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 671 - 683
[37] Fixed-Point Study of Generalized Rational Type Multivalued Contractive Mappings on Metric Spaces with a Graph
Choudhury, Binayak S.
Metiya, Nikhilesh
Khatua, Debashis
de la Sen, Manuel
AXIOMS, 2021, 10 (01)
[38] Be careful on partial metric fixed point results
Haghi, R. H.
Rezapour, Sh.
Shahzad, N.
TOPOLOGY AND ITS APPLICATIONS, 2013, 160 (03) : 450 - 454
[39] SOME COMMON FIXED-POINT RESULTS IN GENERALIZED F-METRIC SPACES
Li, Yiquan
Zhu, Chuanxi
Xiao, Yingying
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (05): : 2558 - 2571
[40] An Application to Fixed-Point Results in Tricomplex-Valued Metric Spaces Using Control Functions
Ramaswamy, Rajagopalan
Mani, Gunaseelan
Gnanaprakasam, Arul Joseph
Abdelnaby, Ola A. Ashour
Radenovic, Stojan
MATHEMATICS, 2022, 10 (18)

← 1 2 3 4 5 →