Convergence of Two Simple Methods for Solving Monotone Inclusion Problems in Reflexive Banach Spaces

We propose two very simple methods, the first one with constant step sizes and second self-adaptive sizes, for finding a zero of sum monotone operators in real reflexive Banach spaces. Our methods require only evaluation single-valued operator at each iteration. Weak convergence results are obtained when set-valued is maximal Lipschitz continuous, strong either these required, addition, to be strongly monotone. also obtain rate our proposed Finally, we apply solving generalized Nash equilibrium problems gas markets.