On Recent Results Concerning F-Contraction in Generalized Metric Spaces

被引：14

作者：

Vujakovic, Jelena ^{[1
]}

Mitrovic, Slobodanka ^{[2
]}

Pavlovic, Mirjana ^{[3
]}

Radenovic, Stojan ^{[4
]}

机构：

[1] Univ Pristina Kosovska Mitrov, Dept Math, Fac Sci, Kosovska Mitrovica 38220, Serbia

[2] Univ Belgrade, Fac Forestry, Kneza Viseslava 1, Beograd 11000, Serbia

[3] Univ Kragujevac, Fac Sci, Dept Math & Informat, Radoja Domanovica 12, Kragujevac 34000, Serbia

[4] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Beograd 11120, Serbia

来源：

MATHEMATICS | 2020年 / 8卷 / 05期

关键词：

banach principle; F-contractive mapping; metric space; fixed point; (phi; F)-contraction; FIXED-POINTS; MAPPINGS;

D O I：

10.3390/math8050767

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this manuscript we discuss, consider, generalize, improve and unify several recent results for so-calledF-contraction-type mappings in the framework of complete metric spaces. We also introduce(phi,F)-weak contraction and establish the corresponding fixed point result. Using our new approach for the proof that a Picard sequence is a Cauchy in metric space, our obtained results complement and enrich several methods in the existing literature. At the end we give one open question forF-contraction of Ciric-type mapping.

引用

页数：12

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