Some Fixed Point Results on ( α, β )- H- φ-Contraction Mappings in Partial Metric Spaces With Application

被引：0

作者：

Tiwari, Heeramani ^{[1
]}

Padmavati ^{[1
]}

机构：

[1] Govt VYT PG Autonomous Coll, Dept Math, Durg, Chhattisgarh, India

来源：

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2024年 / 15卷 / 01期

关键词：

H-phi-contraction mapping; Generalized H-phi-contraction mapping; (alpha; beta)-H-phi-contraction mapping; Partial metric spaces; THEOREMS; (ALPHA;

D O I：

10.26713/cma.v15i1.2491

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the notion of H-q-contraction, generalized H-q-contraction, (a,/3)-H-q-contraction mappings and establish some fixed point results for such mappings in the context of partial metric spaces. An example is presented to illustrate the validity of the results. Further, the existence of the solution of nonlinear integral equation is discussed as an application of the result.

引用

页码：133 / 144

页数：12

共 17 条

[1] Some Fixed Point Results for (α, β)-(ψ, φ)-Contractive Mappings [J].

Alizadeh, Sattar ;

Moradlou, Fridoun ;

Salimi, Peyman .

FILOMAT, 2014, 28 (03) :635-647

[2]

[Anonymous], 2012, International Journal of Mathematics and Mathematical Sciences, DOI DOI 10.1155/2012/597074

[3] ON NONLINEAR CONTRACTIONS [J].

BOYD, DW ;

WONG, JSW .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) :458-&

[4]

Chandok S, 2015, APPL MATH E-NOTES, V15, P233

[5] Some fixed point theorems for (α, β)-admissible Geraghty type contractive mappings and related results [J].

Chandok S. .

Mathematical Sciences, 2015, 9 (3) :127-135

[6] Some new extensions of Banach's contraction principle to partial metric space [J].

Ilic, Dejan ;

Pavlovic, Vladimir ;

Rakocevic, Vladimir .

APPLIED MATHEMATICS LETTERS, 2011, 24 (08) :1326-1330

[7]

Kir M, 2016, EUR J PURE APPL MATH, V9, P443

[8] Some Fixed Point Theorems for Boyd and Wong Type Contraction Mapping in Ordered Partial Metric Spaces with an Application [J].

Kumar, Santosh ;

Nziku, Faustine .

JOURNAL OF FUNCTION SPACES, 2022, 2022

[9]

La Rosa V, 2014, J NONLINEAR SCI APPL, V7, P1, DOI 10.22436/jnsa.007.01.01

[10]

Matthews S.G., 1994, P 8 SUMMER C GEN TOP, P183, DOI 10.1111/j.1749-6632.1994.tb44144.x

← 1 2 →