A New Result of Presic Type Theorems with Applications to Second Order Boundary Value Problems

被引:4
作者
Altun, Ishak [1 ]
Qasim, Muhammad [2 ]
Olgun, Murat [3 ]
机构
[1] Kirikkale Univ, Dept Math, Fac Sci & Arts, TR-71450 Yahsihan, Kirikkale, Turkey
[2] Natl Univ Sci & Technol NUST, Sch Nat Sci, Dept Math, Islamabad, Pakistan
[3] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
关键词
Fixed point; Presic contraction; theta-contraction; boundary value problem;
D O I
10.2298/FIL2107257A
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, taking into account the recent contractive technique we present a new result of Presic type fixed point theorems. Then, we provide a comparative example to put forth the validity of our theoretical result. Finally, considering a special case of the main theorem, we give some existence results for the second order two point boundary value problems.
引用
收藏
页码:2257 / 2266
页数:10
相关论文
共 10 条
[1]  
Abbas M, 2016, U POLITEH BUCH SER A, V78, P147
[2]  
Aydi H., 2015, EJDE, V2015, P1
[3]  
Banach B, 1922, FUND MATH, V2, P133
[4]   A Presic type contractive condition and its applications [J].
Chen, Yong-Zhuo .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E2012-E2017
[5]  
Ciric LB, 2007, ACTA MATH UNIV COMEN, V76, P143
[6]   Cyclic (noncyclic) φ-condensing operator and its application to a system of differential equations [J].
Gabeleh, Moosa ;
Moshokoa, Seithuti Philemon ;
Vetro, Calogero .
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2019, 24 (06) :985-1000
[7]   A new generalization of the Banach contraction principle [J].
Jleli, Mohamed ;
Samet, Bessem .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[8]  
Presic S. B., 1965, PUBL I MATH-BEOGRAD, V5, P75
[9]   Fixed-point theorem for a generalized almost Hardy-Rogers-type F contraction on metric-like spaces [J].
Saipara, Plern ;
Khammahawong, Konrawut ;
Kumam, Poom .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (17) :5898-5919
[10]  
Vetro F, 2019, RACSAM REV R ACAD A, V113, P1823, DOI 10.1007/s13398-018-0586-9