Pseudo-metric space and fixed point theorem

Fixexd point theory and applications

Samih Lazaiz¹  Mohamed Aamri¹  Karim Chaira²  El Miloudi Marhrani² 

[1] Laboratory of Algebra Analysis and Applications (L3A), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, Casablanca, Morocco

关键词: Caristi-type fixed point;    Brezis-Browder principle;    nonlinear complementarity problem;    supernormal cone;    differential inclusion;   

DOI  :  10.1186/s13663-017-0594-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The aim of this paper is to give a generalized version of Caristi fixed point theorems in pseudo-metric spaces. Our results generalize and improve many of well-known theorems. As an application of our results, we give a new existence theorem to the generalized nonlinear complementarity problem and a solution of differential inclusion in the distributions setting.

【 授权许可】

CC BY