φ-BEST PROXIMITY POINT THEOREMS IN METRIC SPACES WITH APPLICATIONS IN PARTIAL METRIC SPACES

被引：0

作者：

Imdad, Mohammad ^{[1
]}

Saleh, Hayel N. ^{[1
]}

Alfaqih, Waleed M. ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2020年 / 10卷 / 01期

关键词：

(F; phi; theta)-proximal contraction; theta)-weak proximal contraction; phi-best proximity point; partial metric space; CONVERGENCE; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the notions of (F, phi, theta)-proximal contraction and (F, phi, theta)-weak proximal contraction for non-self mappings and utilize the same to prove some existence and uniqueness of phi-best proximity point for such mappings. Some illustrative examples are also given to exhibit the utility of our results. As an application of the concept of phi-best proximity point, we deduce some best proximity point theorems in the context of partial metric spaces.

引用

页码：190 / 200

页数：11

共 13 条

[1] Global Optimal Solutions of Noncyclic Mappings in Metric Spaces [J].

Abkar, A. ;

Gabeleh, M. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 153 (02) :298-305

[2] 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

[3] Discontinuity of Control Function in the (F; φ; θ)- Contraction in Metric Spaces [J].

Asadi, Mehdi .

FILOMAT, 2017, 31 (17) :5427-5433

[4] Best proximity point theorems [J].

Basha, S. Sadiq .

JOURNAL OF APPROXIMATION THEORY, 2011, 163 (11) :1772-1781

[5] Best proximity points for cyclic Meir-Keeler contractions [J].

Di Bari, Cristina ;

Suzuki, Tomonari ;

Vetro, Calogero .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) :3790-3794

[6] Existence and convergence of best proximity points [J].

Eldred, A. Anthony ;

Veeramani, P. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) :1001-1006

[7]

Haddadi M., 2017, ASIAN EUROPEAN J MAT

[8]

Isik H., 2017, J FIX POINT THEORY A, P1

[9] Fixed point theory in partial metric spaces via φ-fixed point's concept in metric spaces [J].

Jleli, Mohamed ;

Samet, Bessem ;

Vetro, Calogero .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,

[10] Best Proximity Point Theorems for p-Cyclic Meir-Keeler Contractions [J].

Karpagam, S. ;

Agrawal, Sushama .

FIXED POINT THEORY AND APPLICATIONS, 2009,

← 1 2 →