Abstract
Let us deliberate the question of computing a solution to the problems that can be articulated as the simultaneous equations and in the framework of metric spaces. However, when the mappings in context are not necessarily self-mappings, then it may be consequential that the equations do not have a common solution. At this juncture, one contemplates to compute a common approximate solution of such a system with the least possible error. Indeed, for a common approximate solution of the equations, the real numbers and measure the errors due to approximation. Eventually, it is imperative that one pulls off the global minimization of the multiobjective functions and . When S and T are mappings from A to B, it follows that and for every . As a result, the global minimum of the aforesaid problem shall be actualized if it is ascertained that the functions and attain the lowest possible value d(A, B). The target of this paper is to resolve the preceding multiobjective global minimization problem when S is a T-cyclic contraction or a generalized cyclic contraction, thereby enabling one to determine a common optimal approximate solution to the aforesaid simultaneous equations.