Generalized Suzuki (ψ, φ)-contraction in complete metric spaces

被引:0
作者
Mebawondu, A. A. [1 ]
Mebawondu, S. I. [2 ]
机构
[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa
[2] Lagos State Univ, Ojo Campus, Lagos, Nigeria
来源
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷 / 01期
关键词
(psi; phi)-Suzuki-type mapping; fixed point; phi)-Jungck-Suzuki; coincidence point; metric space; FIXED-POINT THEOREMS; CONTRACTIONS; MAPS;
D O I
10.22075/ijnaa.2020.15983.1837
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce a new class of mappings called the (psi, phi)-Suzuki-type mapping and (psi, phi)-Jungck-Suzuki contraction type mappings and we establish the existence, uniqueness and coincidence results for (psi, phi)-Suzuki-type mapping and (psi, phi)-Jungck-Suzuki contraction mappings in the frame work of complete metric spaces. Furthermore, we applied our results to the existence and uniqueness of solutions of a differential equation. Our results improve, extend and generalize some known results in the literature.
引用
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页码:963 / 978
页数:16
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