In view of the importance of this subject, the Principal Investigator (PI) and his group intend to continue their work on the mathematics itself, rather than on its applications. One part of the project then aims at establishing new concepts and results for fixed point theory in Banach spaces. Two of the main tools, among others, that the PI plans to employ and develop further are " the Dominguez - Lorenzo condition" proposed by Dhompongsa and others [11], and "Property (D)" proposed by Dhompongsa and others [12]. For the second part, the project will concentrate on the fixed point property of Banach algebras, especially, C*- algebras.
