Common fixed point theorems in intuitionistic Menger space using property E.A. and an application to Fredholm integral equations

Abstract

The purpose of this paper is to use the notions of E.A. property and common property E.A. to prove some common fixed point theorems for weakly compatible mappings in intuitionistic Menger spaces. We establish and improve our results by proving the existence and the uniqueness of a common solution of the system of Fredholm integral equations. Some examples are given in order to support our results.

Subject Classification: (2010):

• 47H10
• 45G10

Keywords:

• Common fixed point theorems
• Intuitionistic menger space
• Weakly compatible mapping
• Property E.A
• Common property E.A
• Fredholm integral equations