A GENERALIZED VARIATIONAL PRINCIPLE IN b-METRIC SPACES

被引：1

作者：

Farkas, Csaba ^{[1
,2
]}

Molnar, Andrea Eva ^{[1
]}

Nagy, Szilard ^{[3
]}

机构：

[1] Babes Bolyai Univ, Dept Math, 1 Kogalniceanu Str, Cluj Napoca 400084, Romania

[2] Sapientia Hungarian Univ Transylvania, Fac Tech & Human Sci, Dept Math & Informat, Targu Mures, Romania

[3] Babes Bolyai Univ, Dept Econ, Cluj Napoca 400596, Romania

来源：

MATEMATICHE | 2014年 / 69卷 / 02期

关键词：

b-metric; Ekeland-type variational principles; Zhong-type variational principles; Caristi's fixed point theorem;

D O I：

10.4418/2014.69.2.18

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish and prove a generalized variational principle for b-metric spaces. As a consequence, we obtain a weak Zhong-type variational principle in b-metric spaces. We show the applicability of the mentioned generalized variational principle by presenting a Caristi-type fixed point theorem and an extension of the main result for bifunctions both of them stated in b-metric spaces.

引用

页码：205 / 221

页数：17

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