FIXED POINTS FOR TRIANGULAR α-ADMISSIBLE GERAGHTY CONTRACTION TYPE MAPPINGS IN PARTIAL b-METRIC SPACES

被引：2

作者：

Qawaqneh, Haitham ^{[1
]}

Noorani, Mohd Salmi ^{[1
]}

Shatanawi, Wasfi ^{[2
,3
]}

Alsamir, Habes ^{[1
]}

机构：

[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Ukm 45600, Selangor Darul, Malaysia

[2] Prince Sultan Univ, Dept Math & Gen Courses, Riyadh 11586, Saudi Arabia

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2019年 / 17卷 / 02期

关键词：

C-class functions; alpha-admissible mapping; fixed point b-metric spaces; partial metric spaces; partial b-metric spaces; F-CONTRACTION; THEOREMS; (ALPHA;

D O I：

10.28924/2291-8639-17-2019-208

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 generalized C-class functions for Geraghty contraction type mappings on a set X. We utilize our new notion to prove fixed point results in the setting of triangular weak alpha-admissible mappings with respect to eta in Partial b-Metric Spaces. Our results modify and improve many exciting results in the literature. Also, we introduce an example and an application to show the validity of our main result.

引用

页码：208 / 225

页数：18

共 35 条

[1] Meir-Keeler α-contractive fixed and common fixed point theorems [J].

Abdeljawad, Thabet .

FIXED POINT THEORY AND APPLICATIONS, 2013,

[2] Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces [J].

Aghajani, Asadollah ;

Abbas, Mujahid ;

Roshan, Jamal Rezaei .

MATHEMATICA SLOVACA, 2014, 64 (04) :941-960

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

Alizadeh, Sattar ;

Moradlou, Fridoun ;

Salimi, Peyman .

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

[4]

[Anonymous], 2012, Abstract and Applied Analysis, DOI DOI 10.1155/2012/793486

[5]

Ansari A. H., 2014, 2 REG C MATH APPL, V11, P377, DOI DOI 10.2298/FIL1403635A

[6]

Ansari AH, 2016, J MATH ANAL, V7, P54

[7] C-class functions and fixed point theorems for generalized α-η-ψ-φ-F-contraction type mappings in α-η-complete metric spaces [J].

Ansari, Arslan Hojat ;

Kaewcharoen, Anchalee .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06) :4177-4190

[8]

Bakhtin I.A., 1989, Functional Analysis, V30, P26, DOI DOI 10.1039/AP9892600037

[9]

Banach S., 1922, Fund Math, V3, P133, DOI DOI 10.4064/FM-3-1-133-181

[10]

Branciari A, 2000, PUBL MATH-DEBRECEN, V57, P31

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