A Relation-Theoretic Metrical Fixed Point Theorem for Rational Type Contraction Mapping with an Application

被引:10
作者
Hossain, Asik [1 ]
Khan, Faizan Ahmad [2 ]
Khan, Qamrul Haq [1 ]
机构
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[2] Univ Tabuk, Dept Math, Tabuk 71491, Saudi Arabia
关键词
binary relation; R-completeness; rational contraction; PARTIALLY ORDERED SETS;
D O I
10.3390/axioms10040316
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we discuss the relation theoretic aspect of rational type contractive mapping to obtain fixed point results in a complete metric space under arbitrary binary relation. Furthermore, we provide an application to find a solution to a non-linear integral equation.
引用
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页数:11
相关论文
共 28 条
[1]   Relation-Theoretic Metrical Coincidence Theorems [J].
Alam, Aftab ;
Imdad, Mohammad .
FILOMAT, 2017, 31 (14) :4421-4439
[2]   Relation-theoretic contraction principle [J].
Alam, Aftab ;
Imdad, Mohammad .
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2015, 17 (04) :693-702
[3]   Hybrid Multivalued Type Contraction Mappings in αK-Complete Partial b-Metric Spaces and Applications [J].
Ameer, Eskandar ;
Aydi, Hassen ;
Arshad, Muhammad ;
Alsamir, Habes ;
Noorani, Mohd Selmi .
SYMMETRY-BASEL, 2019, 11 (01)
[4]  
Banach S., 1922, Fund. Math, V3, P133, DOI [DOI 10.4064/FM-3-1-133-181, 10.4064/fm-3-1-133-181]
[5]   ON NONLINEAR CONTRACTIONS [J].
BOYD, DW ;
WONG, JSW .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) :458-&
[6]  
BROWDER FE, 1968, P K NED AKAD A MATH, V71, P27
[7]  
Cabrera I., 2013, Ann Univ Ferrara, V59, P251
[8]  
Dass B.K., 1975, Indian J. Pure Appl. Math, V6, P1455
[9]   Fractional Langevin Equation Involving Two Fractional Orders: Existence and Uniqueness Revisited [J].
Fazli, Hossein ;
Sun, HongGuang ;
Nieto, Juan J. .
MATHEMATICS, 2020, 8 (05)
[10]  
Flaska V., 2007, ACTA U CAROLIN MATH, V48, P55