... results,which extend and improve substantially the results due to Bellman 3, Bhakta and Choudhury 7,Liu12, Liu and Kang 14, 15, Liu and Ume 17 ,Liuetal.18, and others.2. Lemmas and AlgorithmsThroughout ... Publishing CorporationFixed Point Theory and ApplicationsVolume 2011, Article ID 701519, 30 pagesdoi:10.1155/2011/701519 Research Article Solvability and Algorithms forFunctional Equations ... Corollaries 2.2 and 2.3 in14, Corollaries 3.3 and 3.4 in 17, and Theorems 2.3 and 2.4 in 18, respectively.2 The results in 3, page 149, Theorem 3.5 in 7, Theorem 3.5 in 12 ,and Theorem...