Best Proximity Point Results for Generalized Θ-Contractions and Application to Matrix Equations

被引：2
|
作者：
Ma, Zhenhua [1 ]
Hussain, Azhar [2 ]
Adeel, Muhammad [2 ]
Hussain, Nawab [3 ]
Savas, Ekrem [4 ]
机构：
[1] Hebei Univ Architecture, Dept Math & Phys, Zhangjiakou 075024, Peoples R China
[2] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan
[3] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[4] Usak Univ, Dept Math, TR-64100 Usak, Turkey
来源：
SYMMETRY-BASEL | 2019年 / 11卷 / 01期
关键词：
Theta-contraction; alpha-psi-contraction; best proximity point; THEOREMS; MAPPINGS;
D O I：
10.3390/sym11010093
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we introduce the notion of Ciric type alpha-psi-Theta-contraction and prove best proximity point results in the context of complete metric spaces. Moreover, we prove some best proximity point results in partially ordered complete metric spaces through our main results. As a consequence, we obtain some fixed point results for such contraction in complete metric and partially ordered complete metric spaces. Examples are given to illustrate the results obtained. Moreover, we present the existence of a positive definite solution of nonlinear matrix equation X = Q + Sigma(m)(i=1) A(i)*gamma(X)A(i) and give a numerical example.
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收藏
页数：20
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