Fixed point theorems for Maia α-ψ contractive type mappings with applications

被引：0
|
作者：
Kedim, Imed [1 ]
Berzig, Maher [2 ]
机构：
[1] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia
[2] Univ Tunis, Dept Math, Ecole Natl Super Ingenzeurs Tunis, Montfleury 1008, Tunisia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 504卷 / 01期
关键词：
Maia alpha-psi contraction; Fixed points; Partially ordered metric spaces; Integral equations; Boundary value problems; PARTIALLY ORDERED SETS;
D O I：
10.1016/j.jmaa.2021.125381
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the concept of Maia alpha-psi contractive type mappings and establish new fixed point theorems. We derive some results for comparable mappings in partially ordered metric spaces, which extend and generalize various known theorems on the topic. As applications, we study the existence and uniqueness of solutions to inhomogeneous Fredholm integral equations of the second kind, and we apply this study to a nonlinear third order two-point boundary value problem. (C) 2021 Elsevier Inc. All rights reserved.
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页数：12
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