Convergence theorem for fixed points of nearly uniformly image-Lipschitzian asymptotically generalized image-hemicontractive mappings Original Research Article

In this paper, we introduce the new class of asymptotically generalized ΦΦ-hemicontractive mappings and establish a strong convergence theorem of the iterative sequence generated by these mappings in a general Banach space. The main result of this paper is the improvement of the well-known corresponding result.