Existence and Uniqueness for a First-Order Periodic Differential Problem Via Fixed Point Results

被引：4

作者：

Nastasi, Antonella ^{[1
]}

Vetro, Pasquale ^{[1
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, Italy

来源：

RESULTS IN MATHEMATICS | 2017年 / 71卷 / 3-4期

关键词：

Fixed point; ordered metric space; ordered partial metric space; nonlinear contraction; simulation function; PARTIAL METRIC-SPACES; PARTIALLY ORDERED SETS; NONLINEAR CONTRACTIONS; THEOREMS;

D O I：

10.1007/s00025-016-0551-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the ideas in Samet et al. (Fixed Point Theory Appl 2013:5, 2013) and Vetro and Vetro (Topol Appl 164:125-137, 2014) and the notion of simulation function to establishing existence and uniqueness of fixed points in the setting of ordered metric and ordered partial metric spaces. As consequences of this study, we give a result of existence and uniqueness of a first-order periodic differential problem. From main theorems, we deduce several related fixed point results, in ordered metric and ordered partial metric spaces.

引用

页码：889 / 909

页数：21

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