Fixed points of nonlinear contractions with applications

被引：4

作者：

Shagari, Mohammed Shehu ^{[1
]}

Shi, Qiu-Hong ^{[2
]}

Rashid, Saima ^{[3
]}

Foluke, Usamot Idayat ^{[4
]}

Abualnaja, Khadijah M. ^{[5
]}

机构：

[1] Ahmadu Bello Univ, Fac Phys Sci, Dept Math, Zaria, Nigeria

[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

[3] Govt Coll Univ, Dept Math, Faisalabad, Pakistan

[4] Univ Ilorin, Fac Phys Sci, Dept Math, Ilorin, Nigeria

[5] Taif Univ, Fac Sci, Dept Math, POB 11099, At Taif 21944, Saudi Arabia

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 09期

关键词：

fixed point; psi-contraction; r-hybrid psi-contraction; dynamic programming; integral equation;

D O I：

10.3934/math.2021545

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to initiate a new concept of nonlinear contraction under the name r-hybrid psi-contraction and establish some fixed point results for such mappings in the setting of complete metric spaces. The presented ideas herein unify and extend a number of well-known results in the corresponding literature. A few of these special cases are pointed out and analysed. From application point of view, we investigate the existence and uniqueness criteria of solutions to certain functional equation arising in dynamic programming and integral equation of Volterra type. Nontrivial illustrative examples are provided to show the generality and validity of our obtained results.

引用

页码：9378 / 9396

页数：19

共 37 条

[1] A semi-analytical solution of amperometric enzymatic reactions based on Green's functions and fixed point iterative schemes [J].