... S. Dhompongsa, W. Fupinwong, and W. Lawton, “Fixed point properties of C∗-algebras,” Journal of Mathematical Analysis and Applications, vol. 374, pp. 22–28, 2011.4 Fixed Point Theory and ApplicationsBy ... topological space and let CX and CRX denote the complex and real Banach algebras of all continuous complex-valued and continuous real-valued functions on X under the uniform norm on X, respectively. ... Fupinwong and Dhompongsa 2010obtained a general condition for infinite dimensional unital commutative real and complex Banachalgebras to fail the fixed-point property and showed that CRX and...