Abstract
A new modified mixed Ishikawa iterative sequence with error for common fixed points of two asymptotically quasi pseudocontractive type non-self-mappings is introduced. By the flexible use of the iterative scheme and a new lemma, some strong convergence theorems are proved under suitable conditions. The results in this paper improve and generalize some existing results.
Highlights
Let E be a real Banach space with its dual E∗ and let C be a nonempty, closed, and convex subset of E
Motivated and inspired by the above results, in this paper, we introduce a new modified mixed Ishikawa iterative sequence with error for common fixed points of two more generalized asymptotically quasi pseudocontractive type non-self-mappings
By the flexible use of the iterative scheme and a new lemma (i.e., Lemma 6 in this paper), under suitable conditions, we prove some strong convergence theorems
Summary
Let E be a real Banach space with its dual E∗ and let C be a nonempty, closed, and convex subset of E. Motivated and inspired by the above results, in this paper, we introduce a new modified mixed Ishikawa iterative sequence with error for common fixed points of two more generalized asymptotically quasi pseudocontractive type non-self-mappings. Let C be a nonexpansive retract (with P) of E, let T1, T2 : C → E be two uniformly L-Lipschitzian non-self-mappings and let T1 be an asymptotically quasi pseudocontractive type (with P).
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