Best Proximity Points of MT-Cyclic Contractions with Property UC

被引：52

作者：

Aydi, Hassen ^{[1
,2
]}

Lakzian, Hosein ^{[3
]}

Mitrovic, Zoran D. ^{[4
]}

Radenovic, Stojan ^{[5
]}

机构：

[1] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City, Vietnam

[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[3] Payame Noor Univ, Dept Math, Tehran, Iran

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

[5] Univ Belgrade, Fac Mech Engn, Kraljice Marie 16, Belgrade, Serbia

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2020年 / 41卷 / 07期

关键词：

Best proximity point; cyclic map; MT-cyclic orbital contraction; property UC; THEOREMS; EXISTENCE; CONVERGENCE; ALPHA;

D O I：

10.1080/01630563.2019.1708390

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We initiate the notion of generalized - cyclic contraction mappings with respect to an auxiliary function and investigate the existence of a best proximity point of such mappings in the setting of metric spaces. We also prove the uniqueness of a fixed point, when we assume an additional condition, named as: property UC. Moreover, we discuss the existence and uniqueness of a fixed point of -cyclic orbital contractions in the context of (b-metric) metric spaces.

引用

页码：871 / 882

页数：12

共 26 条

[1] Convergence and existence results for best proximity points [J].

Al-Thagafi, M. A. ;

Shahzad, Naseer .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) :3665-3671

[2]

Aydi H, 2016, J NONLINEAR SCI APPL, V9, P5202

[3] On common best proximity points for generalized α - ψ-proximal contractions [J].

Aydi, Hassen ;

Felhi, Abdelbasset ;

Karapinar, Erdal .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05) :2658-2670

[4] Best proximity points for cyclic Kannan-Chatterjea-Ciric type contractions on metric-like spaces [J].

Aydi, Hassen ;

Felhi, Abdelbasset .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05) :2458-2466

[5] Best proximity points of generalized almost ψ-Geraghty contractive non-self-mappings [J].

Aydi, Hassen ;

Karapinar, Erdal ;

Erhan, Inci M. ;

Salimi, Peyman .

FIXED POINT THEORY AND APPLICATIONS, 2014,

[6]

Bakhtin I., 1989, Functinal Analysis Ulianowsk Gos. Ped. Inst, V30, P26, DOI DOI 10.1039/AP9892600037

[7]

Czerwik S., 1993, ACTA MATH INF U OSTR, V1, P5

[8] Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition [J].

De la Sen, Manuel ;

Singh, Shyam Lal ;

Gordji, Madjid Eshaghi ;

Ibeas, Asier ;

Agarwal, Ravi P. .

FIXED POINT THEORY AND APPLICATIONS, 2013,

[9] Nonlinear conditions for the existence of best proximity points [J].

Du, Wei-Shih ;

Lakzian, Hossein .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,

[10] On coincidence point and fixed point theorems for nonlinear multivalued maps [J].

Du, Wei-Shih .

TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (01) :49-56

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