On F-Contractions for Weak α-Admissible Mappings in Metric-Like Spaces

被引：17

作者：

Vujakovic, Jelena ^{[1
]}

Mitrovic, Slobodanka ^{[2
]}

Mitrovic, Zoran D. ^{[3
]}

Radenovic, Stojan ^{[4
]}

机构：

[1] Univ Pristina, Fac Sci & Math, Lole Ribara 29, Kosovska Mitrovica 38200, Serbia

[2] Univ Belgrade, Fac Forestry, Kneza Viseslava 1, Beograd 11030, Serbia

[3] Univ Banja Luka, Fac Elect Engn, Patre 5, Banja Luka 78000, Bosnia & Herceg

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

来源：

MATHEMATICS | 2020年 / 8卷 / 09期

关键词：

Banach principle; metric-like space; fixed point theorem; Wardowski type contraction; triangular alpha-admissible mapping; triangular weak alpha-admissible mapping; COMMON FIXED-POINT; THEOREMS;

D O I：

10.3390/math8091629

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, we consider some fixed point results of F-contractions for triangular alpha-admissible and triangular weak a-admissible mappings in metric-like spaces. The results on F-contraction type mappings in the context of metric-like spaces are generalized, improved, unified, and enriched. We prove the main result but using only the property (F1) of the strictly increasing mapping F : ( 0, +infinity) -> (-infinity, +infinity). Our approach gives a proper generalization of several results given in current literature.

引用

页数：12

共 50 条

[1] Fixed points of conditionally F-contractions in complete metric-like spaces
Karapinar, Erdal
Kutbi, Marwan A.
Piri, Hossein
O'Regan, Donal
FIXED POINT THEORY AND APPLICATIONS, 2015,
[2] Fixed point results for geraghty type generalized F-contraction for weak alpha-admissible mappings in metric-like spaces
Qawaqneh, Haitham
Noorani, Mohd Selmi
Shatanawi, Wasfi
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 11 (03): : 702 - 716
[3] Best Proximity Point Theorems for Two Weak Cyclic Contractions on Metric-Like Spaces
Karapinar, Erdal
Chen, Chi-Ming
Lee, Chih-Te
MATHEMATICS, 2019, 7 (04):
[4] Existence of Solutions of Integral and Fractional Differential Equations Using alpha-type Rational F-contractions in Metric-like Spaces
Nashine, Hemant Kumar
Kadelburg, Zoran
Agarwal, Ravi P.
KYUNGPOOK MATHEMATICAL JOURNAL, 2018, 58 (04): : 651 - 675
[5] Some fixed point results for multi-valued mappings in metric-like and quasi metric-like spaces
Mohammadi, Babak
Golkarmanesh, Farhan
Ghoncheh, Seyed Jalaleddin Hosseini
Parvaneh, Vahid
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (09)
[6] New Geraghty type contractions on metric-like spaces
Aydi, Hassen
Felhi, Abdelbasset
Afshari, Hojjat
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 780 - 788
[7] New Results on F-Contractions in Complete Metric Spaces
Vujakovic, Jelena
Kontrec, Natasa
Tosic, Marina
Fabiano, Nicola
Radenovic, Stojan
MATHEMATICS, 2022, 10 (01)
[8] Generalized multivalued F-contractions on incomplete metric spaces
Baghani, Hamid
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2018, 9 (02): : 70 - 84
[9] Rational g-ω-weak contractions and fixed point theorems in 0-σ- complete metric-like spaces
Nashine, Hemant Kumar
Gupta, Anita
Kadelburg, Zoran
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2017, 22 (01): : 51 - 63
[10] Some Common Fixed Point Theorems for Tangential Generalized Weak Contractions in Metric-like Spaces
Beloul, Said
FILOMAT, 2017, 31 (06) : 1729 - 1739

← 1 2 3 4 5 →