ON CARISTI FIXED POINT THEOREM FOR SET-VALUED MAPPINGS

被引：1

作者：

Chaira, Karim ^{[1
]}

Chaira, Soumia ^{[2
]}

Lazaiz, Samih ^{[3
]}

机构：

[1] Univ Hassan 2, Fac Sci Ben Msik, Dept Math & Comp Sci, L3A Lab, Casablanca, Morocco

[2] Univ Hassan 2, Lab Math & Applicat, Fac Sci & Technol Mohammedia, Casablanca, Morocco

[3] Hassan II Univ, ENSAM Casablanca, Casablanca, Morocco

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2022年 / 59卷 / 01期

关键词：

  Caristi fixed point theorem; set-valued mappings; ordered metric spaces; reflexive Banach spaces; PARTIALLY ORDERED SETS; PRINCIPLE;

D O I：

10.12775/TMNA.2021.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to discuss Penot's problem on a generalization of Caristi's fixed point theorem. We settle this problem in the negative and we present some new theorems on the existence of fixed points of set-valued mappings in ordered metric spaces and reflexive Banach spaces.

引用

页码：153 / 161

页数：9

共 18 条

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