A note on the solution of a class of functional equations

Generalization of Fixed Point Results via Iterative Process of <i>F</i>-Contraction

“…  for more details on dynamic programming we refer to [6,7,8,9,23]. Suppose that W and D are the state and decision spaces respectively.…”

“…Thereafter, many papers have published on F-contractive mappings in various spaces. For more detail see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and references therein. …”

On common fixed points for α−F -contractions and applications

“…The existence of solutions of functional equations and system of functional equations arising in dynamic programming which have been studied by using various fixed point theorems. For more details, the reader can see [8][9][10]. In this paragraph, we will prove the existence of a common solution for classes of functional equations using Corollary 2.11.…”

Existence Theorems of Solutions for a System of Nonlinear Inclusions with an Application

“…See, for example, [13][14][15][16][17] and the references therein. Let Y and Z be two Banach spaces, G ⊂ Y a state space, Δ ⊂ Z a decision space, and R = (−∞,+∞).…”