AN EXTENSION OF DARBO'S THEOREM AND ITS APPLICATION TO SYSTEM OF NEUTRAL DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT

作者：Banaei Sh^*; Ghaemi M B; Saadati R

来源：Miscolc Mathematical Notes, 2017, 18(1): 83-94.

DOI：10.18514/MMN.2017.2086

• measure of noncompactness
• fixed point theorem
• tripled fixed point theorem
• integral equation

In this paper we extend Darbo's fixed point theorem in Banach spaces and obtain a tripled fixed point theorem. The technique of measure of noncompactness is the main tool in carrying out our proof. Finally, as an application of our results, we analyze the existence of solutions for a system of neutral differential equations.

• 出版日期2017