Fixed Point Results On θ-metric Spaces via Simulation Functions

被引：19

作者：

Chanda, Ankush ^{[1
]}

Damjanovic, Bosko ^{[2
]}

Dey, Lakshmi Kanta ^{[1
]}

机构：

[1] Natl Inst Technol Durgapur, Dept Math, Durgapur, India

[2] Univ Belgrade, Fac Agr, Beograd, Serbia

来源：

FILOMAT | 2017年 / 31卷 / 11期

关键词：

theta-metric space; simulation functions; Z-contraction; modified Z-contraction;

D O I：

10.2298/FIL1711365C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a recent article, Khojasteh et al. introduced a newclass of simulation functions, Z-contractions, with blending over known contractive conditions in the literature. Subsequently, in this paper, we extend and generalize the results in theta-metric context and we discuss some fixed point results in connection with existing ones. Also, we originate the notion of modified Z-contractions and explore the existence and uniqueness of fixed points of such functions on the said spaces. Finally we include examples to instantiate our main results.

引用

页码：3365 / 3375

页数：11

共 14 条

[1]

Argoubi H, 2015, J NONLINEAR SCI APPL, V8, P1082

[2]

BANACH S., 1922, Fundam. Math., V3, P133, DOI DOI 10.4064/FM-3-1-133-181

[3]

Chatterjea S.K., 1972, C. R. Acad. Bulg. Sci, V25, P727, DOI [10.1501/Commua1_0000000548, DOI 10.1501/COMMUA1_0000000548]

[4] Fixed point of contractive mappings in generalized metric spaces [J].

Das, Pratulananda ;

Dey, Lakshmi Kanta .

MATHEMATICA SLOVACA, 2009, 59 (04) :499-504

[5]

Dey L. K., 2015, BULL ALLAHABAD MATH, V30, P173

[6]

George R, 2015, J NONLINEAR SCI APPL, V8, P1005

[7]

Kadelburg Z., 2015, SARAJEVO J MATH, V11, P235

[8]

Kadelburg Z., 2016, J. Adv. Math. Stud, V9, P83

[9] SOME RESULTS ON FIXED POINTS .2. [J].

KANNAN, R .

AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (04) :405-&

[10] A New Approach to the Study of Fixed Point Theory for Simulation Functions [J].

Khojasteh, Farshid ;

Shukla, Satish ;

Radenovic, Stojan .

FILOMAT, 2015, 29 (06) :1189-1194

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