Non-Unique Fixed Point Results in Extended B-Metric Space

被引：27

作者：

Alqahtani, Badr ^{[1
]}

Fulga, Andreea ^{[2
]}

Karapinar, Erdal ^{[3
]}

机构：

[1] King Saud Univ, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

[2] Univ Transilvania Brasov, Dept Math & Comp Sci, Brasov 500036, Romania

[3] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

来源：

MATHEMATICS | 2018年 / 6卷 / 05期

关键词：

b-metric; extend b-metric space; nonunique fixed point; CONTRACTIONS; THEOREMS;

D O I：

10.3390/math6050068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the existence of fixed points that are not necessarily unique in the setting of extended b-metric space. We state some examples to illustrate our results.

引用

页数：11

共 15 条

[1]

Afshari Hojjat, 2016, East Asian Mathematical Journal, V32, P319, DOI 10.7858/eamj.2016.024

[2]

Aksoy Ü, 2016, J NONLINEAR CONVEX A, V17, P1095

[3]

Alqahtani B., CONTRACTIONS RATIONA

[4] A fixed point theorem for set-valued quasi-contractions in b-metric spaces [J].

Aydi, Hassen ;

Bota, Monica-Felicia ;

Karapinar, Erdal ;

Mitrovic, Slobodanka .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[5]

Aydi H, 2012, FIXED POINT THEOR-RO, V13, P337

[6]

Boriceanu M., 2009, Int. J. Modern Math, V4, P285

[7] Fixed point theorems for generalized (α* - ψ)-Ciric-type contractive multivalued operators in b-metric spaces [J].

Bota, Monica-Felicia ;

Chifu, Cristian ;

Karapinar, Erdal .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03) :1165-1177

[8] Ulam-Hyers Stability Results for Fixed Point Problems via α-ψ-Contractive Mapping in (b)-Metric Space [J].

Bota, Monica-Felicia ;

Karapinar, Erdal ;

Mlesnite, Oana .

ABSTRACT AND APPLIED ANALYSIS, 2013,

[9] A note on "Some results on multi-valued weakly Jungck mappings in b-metric space" [J].

Bota, Monica-Felicia ;

Karapinar, Erdal .

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2013, 11 (09) :1711-1712

[10] GENERALIZATION OF BANACHS CONTRACTION PRINCIPLE [J].

CIRIC, LB .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 45 (02) :267-273

← 1 2 →