Fixed point theorems on ordered gauge spaces with applications to nonlinear integral equations

Fixexd point theory and applications

Bessem Samet¹  Meryam Cherichi² 

[1] Ecole SupéFST Campus Universitaire, El Manar, Tunis, Tunisia;rieure des Sciences et Techniques de Tunis, Bab Menara, Tunisie

关键词: Gauge spaceordered setcoincidence pointfixed pointaltering distance function;   

DOI  :  10.1186/1687-1812-2012-13

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We establish coincidence and fixed point theorems for mappings satisfying generalized weakly contractive conditions on the setting of ordered gauge spaces. Presented theorems extend and generalize many existing studies in the literature. We apply our obtained results to the study of existence and uniqueness of solutions to some classes of nonlinear integral equations.

【 授权许可】

CC BY