New Versions of Some Results on Fixed Points in b-Metric Spaces

被引：6

作者：

Mitrovic, Zoran D. ^{[1
]}

Bodaghi, Abasalt ^{[2
]}

Aloqaily, Ahmad ^{[3
,4
]}

Mlaiki, Nabil ^{[3
]}

George, Reny ^{[5
]}

机构：

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

[2] Islamic Azad Univ, Dept Math, Garmsar Branch, Garmsar, Iran

[3] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[4] Western Sydney Univ, Sch Comp Data & Math Sci, Sydney, NSW 2150, Australia

[5] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia

来源：

MATHEMATICS | 2023年 / 11卷 / 05期

关键词：

iterative methods; fixed point; b-metric; Caristi theorem; orbitally continuous; k-continuous; MAPPINGS; THEOREM; JUNGCK;

D O I：

10.3390/math11051118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main and the most important objective of this paper is to nominate some new versions of several well-known results about fixed-point theorems such as Caristi's theorem, Pant et al.'s theorem and Karapinar et al.'s theorem in the case of b-metric spaces. We use a new technique provided by Miculescu and Mihail in order to prove our theorems. Some illustrative applications and examples are given to strengthen our new findings and the main results.

引用

页数：9

共 50 条

[41] New contractions and some fixed point results with application based on extended quasi b-metric spaces
Shatanawi, Wasfi
Qawasmeh, Tariq
Bataihah, Anwar
Tallafha, Abdalla
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2021, 83 (02): : 39 - 48
[42] NEW CONTRACTIONS AND SOME FIXED POINT RESULTS WITH APPLICATION BASED ON EXTENDED QUASI b-METRIC SPACES
Shatanawi, Wasfi
Qawasmeh, Tariq
Bataihah, Anwar
Tallafha, Abdalla
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2021, 83 (02): : 39 - 48
[43] On some new fixed point results for rational Geraghty contractive mappings in ordered b-metric spaces
Huang, Huaping
Paunovic, Ljiljana
Radenovic, Stojan
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05): : 800 - 807
[44] New Fixed Point Results in Orthogonal B-Metric Spaces with Related Applications
Gnanaprakasam, Arul Joseph
Mani, Gunaseelan
Ege, Ozgur
Aloqaily, Ahmad
Mlaiki, Nabil
MATHEMATICS, 2023, 11 (03)
[45] Multivalued Common Fixed Points Theorem in Complex b-Metric Spaces
Saadi, Mohamed
Hamaizia, Taieb
MATHEMATICS, 2023, 11 (14)
[46] Bipolar b-Metric Spaces in Graph Setting and Related Fixed Points
Ahmad, Haroon
Younis, Mudasir
Abdou, Afrah Ahmad Noman
SYMMETRY-BASEL, 2023, 15 (06):
[47] Common fixed points for (ψ - φ)-weak contractions type in b-metric spaces
Morales, Jose R.
Rojas, Edixon M.
ARABIAN JOURNAL OF MATHEMATICS, 2021, 10 (03) : 639 - 658
[48] FIXED POINTS FOR MULTIVALUED CONTRACTIONS IN b-METRIC SPACES WITH APPLICATIONS TO FRACTALS
Chifu, Cristian
Petrusel, Gabriela
TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (05): : 1365 - 1375
[49] SOME FIXED POINT THEOREMS IN EXTENDED b-METRIC SPACES
Shatanawi, Wasfi
Abodayeh, Kamaleldin
Mukheimer, Aiman
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2018, 80 (04): : 71 - 78
[50] Some fuzzy fixed point results for fuzzy mappings in complete b-metric spaces
Kumam, Wiyada
Sukprasert, Pakeeta
Kumam, Poom
Shoaib, Abdullah
Shahzad, Aqeel
Mahmood, Qasim
COGENT MATHEMATICS & STATISTICS, 2018, 5 (01):

← 1 2 3 4 5 →