Fuzzy fixed point results of generalized almost F-contractions in controlled metric spaces

被引：0

作者：

Alamgir, Nayab ^{[1
]}

Kiran, Quanita ^{[2
]}

Aydi, Hassen ^{[3
,4
,5
]}

Gaba, Yae Ulrich ^{[6
]}

机构：

[1] Natl Univ Sci & Technol NUST, Sch Nat Sci, Sect H-12, Islamabad, Pakistan

[2] Natl Univ Sci & Technol NUST, Sch Elect Engn & Comp Sci SEECS, Sect H-12, Islamabad, Pakistan

[3] Univ Sousse, Inst Super Informat & Tech Commun, Hosp Sousse, Sousse 4000, Tunisia

[4] China Med Univ, China Med Univ Hosp, Taichung 40402, Taiwan

[5] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, Ga Rankuwa, South Africa

[6] AIMS Rwanda Ctr, Quantum Leap Africa QLA, Remera Sect KN 3, Kigali, Rwanda

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

alpha-fuzzy fixed points; Generalized almost F-contraction; Controlled metric space; THEOREMS; MAPPINGS;

D O I：

10.1186/s13662-021-03598-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive some common a-fuzzy fixed point results for fuzzy mappings under generalized almost F-contractions in the context of a controlled metric space, which generalize many preexisting results in the literature. As an application, we establish some multivalued fixed point results. For justification of our results, we provide a nontrivial example.

引用

页数：14

共 40 条

[31] FIXED-POINT THEOREMS FOR MULTIVALUED MAPPINGS ON COMPLETE METRIC-SPACES [J].

MIZOGUCHI, N ;

TAKAHASHI, W .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 141 (01) :177-188

[32] Controlled Metric Type Spaces and the Related Contraction Principle [J].

Mlaiki, Nabil ;

Aydi, Hassen ;

Souayah, Nizar ;

Abdeljawad, Thabet .

MATHEMATICS, 2018, 6 (10)

[33]

Nadler S.B., 1967, NOT AM MATH SOC, V14

[34] Fuzzy fixed point theorems in Hausdorff fuzzy metric spaces [J].

Phiangsungnoen, Supak ;

Sintunavarat, Wutiphol ;

Kumam, Poom .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,

[35]

Piri H., 2016, FIXED POINT THEORY A, V2016, P90, DOI DOI 10.1186/S13663-016-0577-5

[36] Fixed points of associated multimaps of fuzzy maps [J].

Singh, B ;

Chauhan, MS .

FUZZY SETS AND SYSTEMS, 2000, 110 (01) :131-134

[37]

Sintamarian A., 2002, SEMIN FIXED POINT TH, V3, P361

[38] F-contractions of Hardy-Rogers type and application to multistage decision processes [J].

Vetro, Francesca .

NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2016, 21 (04) :531-546

[39] Fixed points of a new type of contractive mappings in complete metric spaces [J].

Wardowski, Dariusz .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[40] FUZZY SETS [J].

ZADEH, LA .

INFORMATION AND CONTROL, 1965, 8 (03) :338-&

← 1 2 3 4 →