Extended Simulation Function via Rational Expressions

被引：20

作者：

Alsubaie, Rawan ^{[1
]}

Alqahtani, Badr ^{[1
]}

Karapinar, Erdal ^{[2
,3
]}

Roldan Lopez de Hierro, Antonio Francisco ^{[4
]}

机构：

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

[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[3] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey

[4] Univ Granada, Dept Stat & Operat Res, Granada 18010, Spain

来源：

MATHEMATICS | 2020年 / 8卷 / 05期

关键词：

fixed point; metric space; simulation function; rational expression; common fixed point; FIXED-POINT THEOREMS; METRIC-SPACES;

D O I：

10.3390/math8050710

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce some common fixed point theorems for two distinct self-mappings in the setting of metric spaces by using the notion of a simulation function introduced in 2015. The contractivity conditions have not to be verified for all pairs of points of the space because it is endowed with an antecedent conditions. They are also of rational type because the involved terms in the contractivity upper bound are expressed, in some cases, as quotients.

引用

页数：29

共 15 条

[1] Fuzzy b-Metric Spaces: Fixed Point Results for ψ-Contraction Correspondences and Their Application [J].

Abbas, Mujahid ;

Lael, Fatemeh ;

Saleem, Naeem .

AXIOMS, 2020, 9 (02)

[2]

Agarwal R.P., 2015, Fixed Point Theory in Kasahara Spaces

[3] A Note on Extended Z-Contraction [J].

Alghamdi, Maryam A. ;

Gulyaz-Ozyurt, Selma ;

Karapinar, Erdal .

MATHEMATICS, 2020, 8 (02)

[4] A Bilateral Contraction via Simulation Function [J].

Alqahtani, Obaid ;

Karapinar, Erdal .

FILOMAT, 2019, 33 (15) :4837-4843

[5]

Aydi H, 2019, JORDAN J MATH STAT, V12, P265

[6]

DEHIERRO AFRL, 2019, MATHEMATICS-BASEL, V7, DOI DOI 10.3390/MATH7111033

[7] Interpolative Rus-Reich-Ciric Type Contractions via Simulation Functions [J].

Karapnar, Erdal ;

Agarwal, Ravi P. .

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2019, 27 (03) :137-152

[8] 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

[9]

Radenovic S, 2012, B IRAN MATH SOC, V38, P625

[10]

Roldan Lopez de Hierro A.F., 2015, FIXED POINT THEORY A

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