FIXED POINT RESULTS UNDER GENERALIZED c-DISTANCE WITH APPLICATION TO NONLINEAR FOURTH-ORDER DIFFERENTIAL EQUATION

被引：12

作者：

Rad, Ghasem Soleimani ^{[1
]}

Rahimi, Hamidreza ^{[2
]}

Vetro, Calogero ^{[3
]}

机构：

[1] Islamic Azad Univ, Young Researchers & Elite Club, West Tehran Branch, Tehran, Iran

[2] Islamic Azad Univ, Dept Math, Fac Sci, Cent Tehran Branch, POB 13185-768, Tehran, Iran

[3] Univ Palermo, Dept Math & Comp Sci, Via Archirafi 34, I-90123 Palermo, Italy

来源：

FIXED POINT THEORY | 2019年 / 20卷 / 02期

关键词：

Partially ordered set; ordered cone b-metric space; generalized c-distance; fixed point; CONE METRIC-SPACES; THEOREMS;

D O I：

10.24193/fpt-ro.2019.2.42

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the notion of generalized c-distance in the setting of ordered cone b-metric spaces and obtain some new fixed point results. Our results provide a more general statement, under which can be unified some theorems of the existing literature. In particular, we refer to the results of Sintunavarat et al. [W. Sintunavarat, Y.J. Cho, P. Kumam, Common fixed point theorems for c-distance in ordered cone metric spaces, Comput. Math. Appl. 62 (2011) 1969-1978]. Some examples and an application to nonlinear fourth-order differential equation are given to support the theory.

引用

页码：635 / 648

页数：14

共 41 条

[1] Fixed point results with respect to a wt-distance in partially ordered b-metric spaces and its application to nonlinear fourth-order differential equation
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Rad, Ghasem Soleimani
APPLIED GENERAL TOPOLOGY, 2022, 23 (01): : 121 - 133
[2] Weakly compatible mappings with respect to a generalized c-distance and common fixed point results
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[3] Fixed Point Results under Generalized c-Distance in Cone b-Metric Spaces Over Banach Algebras
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[4] Coincidence Point and Common Fixed Point Results in Cone Metric Spaces Under c-Distance
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[5] Generalized Fixed Point Results with Application to Nonlinear Fractional Differential Equations
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[6] Some Common Fixed Point Theorems via Generalized c-Distance
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[7] New Fixed Point Results under Generalized C-Distance in tvs-Cone B-Metric Spaces with an Application to Systems of Fredholm Integral Equations
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JOURNAL OF MATHEMATICAL EXTENSION, 2018, 12 (04) : 1 - 19
[8] New coupled and common coupled fixed point results with generalized c-distance on cone b-metric spaces
Abusalim, Sahar M.
Fadail, Zaid M.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2020, 25 (03): : 209 - 218
[9] Fixed point theorems on generalized c-distance in ordered cone b-metric spaces
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Xu, Shaoyuan
Shi, Lu
Rajic, Vesna Cojbasic
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2015, 6 (01): : 9 - 22
[10] On the Oscillatory Behavior of a Class of Fourth-Order Nonlinear Differential Equation
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Bazighifan, Omar
SYMMETRY-BASEL, 2020, 12 (04):

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