An Extension of Darbo Fixed Point Theorem and its Applications to Coupled Fixed Point and Integral Equations

作者：Samadi A^*; Ghaemi M B

来源：Filomat, 2014, 28(4): 879-886.

DOI：10.2298/FIL1404879S

• Measure of noncompactness
• Darbo fixed point theorem
• Schauder fixed point theorem
• Coupled fixed point
• Integral equation

In this paper, an extension of Darbo fixed point theorem is introduced. By applying our extension, we obtain a coupled fixed point theorem and a solution for an integral equation. The proofs of our results are based on the technique of measure of noncompactness.

• 出版日期2014