New fixed point results for E-metric spaces

被引：16

作者：

Mehmood, Nayyar ^{[1
,2
]}

Al Rawashdeh, Ahmed ^{[2
]}

Radenovic, Stojan ^{[3
]}

机构：

[1] Int Islamic Univ, Dept Math & Stat, H-10, Islamabad, Pakistan

[2] UAE Univ, Dept Math Sci, Coll Sci, Al Ain 15551, U Arab Emirates

[3] King Saud Univ, Dept Math, Coll Sci, Riyadh 11451, Saudi Arabia

来源：

POSITIVITY | 2019年 / 23卷 / 05期

关键词：

Semi-interior points; Non-solid cones; Fixed points; e-Convergence; THEOREMS;

D O I：

10.1007/s11117-019-00653-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new convergence criteria using the concept of semi-interior points has been defined in E-metric spaces with non-solid and non-normal set of positive elements E+ of a real normed space E, also known as a positive cone. Many examples are provided to insure the existence of semi-interior points of E+ with empty interior. New generalizations of Banach, Kannan and Chatterjea fixed point theorems are proved.

引用

页码：1101 / 1111

页数：11

共 23 条

[1]

[Anonymous], 2013, Asian J. Math. Appl.

[2]

[Anonymous], THEORY DIFFERENTIAL

[3]

[Anonymous], 2012, Int. J. Math. Math. Sci.

[4]

[Anonymous], 1980, Publ. Inst. Math.

[5]

[Anonymous], 2009, INT J MATH MATH SCI

[6]

[Anonymous], 2010, NONLINEAR FUNCTIONAL

[7]

[Anonymous], 1905, Bull. Soc. Math. Fr., DOI [10.24033/bsmf.741, DOI 10.24033/BSMF.741]

[8] Multivalued fixed point theorems in tvs-cone metric spaces [J].

Azam, Akbar ;

Mehmood, Nayyar .

FIXED POINT THEORY AND APPLICATIONS, 2013,

[9]

Banach S., 1922, Fund. Maths., V3, P133, DOI [DOI 10.4064/FM-3-1-133-181, 10.4064/fm-3-1-133-181]

[10] Cones with semi-interior points and equilibrium [J].

Basile, Achille ;

Graziano, Maria Gabriella ;

Papadaki, Maria ;

Polyrakis, Ioannis A. .

JOURNAL OF MATHEMATICAL ECONOMICS, 2017, 71 :36-48

← 1 2 3 →