1. 2.1) To study and investigate an iterative methods for approximation of common fixed point of nonlinear mappings (for example, nonexpansive, asymptotically nonexpansive, pseudo contractive, strongly pseudo contractive, -hemicontractive mappings.)
1.2.2) To modified and investigate an Ishikawa iteration and Multi-step iteration for prove strong convergence theorems to a common fixed point of nonlinear mappings.
1.2.3) To study and investigate the generalized nonlinear ergodic theorems and fixed point theorems for nonlinear semigroups.
1.2.4) To study and investigate convergence theorems for resolvents of accretive operators and nonlinear ergodic theorems for nonexpansive mappings in Banach spaces.
1.2.5) To study and investigate iterative methods for approximation of fixed point of nonlinear mapping to random fixed points.