Fixed points of (∈ - δ) nonexpansive mappings

被引：0

作者：

Pant, R. P. ^{[1
]}

机构：

[1] Dalhousie Villa Cpd, Naini Tal, India

来源：

FILOMAT | 2024年 / 38卷 / 09期

关键词：

Contraction mappings; non-expansive mappings; fixed points; eventual fixed points; cardinality; DISCONTINUITY; CONTRACTIONS;

D O I：

10.2298/FIL2409995P

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain fixed point theorems for nonexpansive mappings by employing a new (is an element of, delta) condition. Our results contain the well-known fixed point theorems due to Meir and Keeler, and Banach as particular cases. The fixed-point sets and domains of the mappings satisfying our theorems have interesting algebraic, geometric and dynamical features. Various examples substantiate our results.

引用

页码：2995 / 3000

页数：6

共 18 条

[1]

BANACH S., 1922, Fund. Math., V3, P133, DOI DOI 10.4064/FM-3-1-133-181

[2] GENERALIZED MEIR-KEELER TYPE CONTRACTIONS AND DISCONTINUITY AT FIXED POINT [J].