Equilibrium prices in an economic equilibrium model

In this paper, we study the existence of equilibrium price vector in a concurrent equilibrium model taking into account the transaction costs associated with the sale of products. In this model, the demand function is obtained as the solution to the problem of maximizing the utility function under budget constraints, and the supply function is obtained as the solution to the problem of profit maximization given transaction losses on the technology set.
We establish sufficient conditions for the existence of quilibrium price vector. These conditions are consequences of general theorems on the existence of coincidence points in the theory of $\alpha$-covering mappings.