Weak and Strong Convergence Theorems of Modified Projection-Type Ishikawa Iteration Scheme for Lipschitz α-Hemicontractive Mappings
نویسندگان
چکیده
In this paper, we establish weak and strong convergence theorems of a two-step modified projection-type Ishikawa iterative scheme to the fixed point α-hemicontractive mappings without any compactness assumption on operator or space. Our results extend, improve generalize several previously known existing literature.
منابع مشابه
Strong Convergence Theorems of Ishikawa Iteration Process With Errors For Fixed points of Lipschitz Continuous Mappings in Banach Spaces
Let q > 1 and E be a real q-uniformly smooth Banach space, K be a nonempty closed convex subset of E and T : K → K be a Lipschitz continuous mapping. Let {un} and {vn} be bounded sequences in K and {αn} and {βn} be real sequences in [0, 1] satisfying some restrictions. Let {xn} be the sequence generated from an arbitrary x1 ∈ K by the Ishikawa iteration process with errors: yn = (1− βn)xn + βnT...
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ژورنال
عنوان ژورنال: European Journal of Mathematical Analysis
سال: 2022
ISSN: ['2733-3957']
DOI: https://doi.org/10.28924/ada/ma.2.10