Coupled Fixed Points for Hardy–Rogers Type of Maps and Their Applications in the Investigations of Market Equilibrium in Duopoly Markets for Non-Differentiable, Nonlinear Response Functions

In this paper we generalize Hardy–Rogers maps in the context of coupled fixed points. We comment on symmetry some coefficients involved condition, and thus, deduce a simpler formula. generalize, with help obtained main theorem, known results about existence uniqueness market equilibrium duopoly markets. As consequence, ascertain that production should be equal for both participants provided they have symmetric response functions. With investigate enrich recent regarding define generalized function includes surpluses. Finally, illustrate possible application result investigation when payoff functions are non-differentiable.