Convergence theorems of the steepest descent method for accretive mappings
Dingping Wu, Jinwei Shi, Chun-Yang Zheng · 2010
This paper is devoted to prove the generalized Φ-accretive mapping A : D(A) ⊆ E → 2Eor generalized Lipschitz and generalized α - accretive with some specific conditions, then sequence {xn} generated by the steepest descent approximation method which converges strongly to a solution x* of the equation Ax = 0, furthermore, the global convergence theorem is proved.