Fixed point results for decreasing convex orbital operators in Hilbert spaces

被引：8
|
作者：
Petrusel, Adrian [1 ]
Petrusel, Gabriela [2 ]
机构：
[1] Babes Bolyai Univ, Dept Math, Cluj Napoca 400084, Romania
[2] Babes Bolyai Univ, Dept Business, Cluj Napoca 400084, Romania
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2021年 / 23卷 / 03期
关键词：
Hilbert space; contraction; graphic contraction; generalized contraction; convex orbital Lipschitz operator; decreasing operator; fixed point; Picard operator; weakly Picard operator; open problem; CONTRACTION-MAPPINGS; THEOREMS; STABILITY;
D O I：
10.1007/s11784-021-00873-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (X, <.>) be a Hilbert space and T : X -> X be a decreasing operator. Under a metric condition involving the convex combination of x and T(x), we will prove some fixed point theorems which generalize and complement several results in the theory of nonlinear operators. Our results are closely related to the admissible perturbations approach in fixed point theory.
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页数：10
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