Recently, Takahashi [7] and [8] extended such an equivalent relation (1.1) in Hilbert spaces to Banach spaces and then obtained strong convergence theorems for finding a solution of the split feasibility problem in Banach spaces.
Then using the hybrid method and the shrinking projection method in mathematical programming, we prove strong convergence theorems for finding a solution of the split common null point problem in Banach spaces.
Moreover, we also suggest a Mann-type extra-gradient iterative algorithm for finding a solution of the split feasibility and fixed point problems involved in pseudo-contractive mappings without Lipschitz assumption.
We propose an Ishikawa-type extra-gradient iterative algorithm for finding a solution of the split feasibility and fixed point problems involved in pseudo-contractive mappings with Lipschitz assumption.
Then using the hybrid method and the shrinking projection method in mathematical programming, we prove two strong convergence theorems for finding a solution of the split common null point problem in Banach spaces.
In this section, using the hybrid method in mathematical programming, we first prove a strong convergence theorem for finding a solution of the split common null point problem in Banach spaces.
Very recently, using the hybrid method by Nakajo and Takahashi [9] in mathematical programming, Alsulami et al. [10] prove strong convergence theorems for finding a solution of the split feasibility problem in Banach spaces; see also [11, 12].
On the other hand, we also suggest a Mann-type extra-gradient iterative algorithm for finding a solution of the split feasibility and fixed point problems involved in pseudo-contractive mappings without Lipschitz assumption.
Next, using the shrinking projection method introduced by Takahashi et al. [13], we prove a strong convergence theorem for finding a solution of the split common null point problem in Banach spaces.
