A SURVEY OF SOME APPROXIMATION RESULTS FOR PSEUDOCONTRACTIVE MAPPINGS
Keywords:
Operators, Pseudocontractive Mapping, Fixed Point, Iteration Methods, Hilbert and Banach SpacesAbstract
The Existence and approximation results for various pseudo-contractive mappings using iterative methods such as Picard iteration, Mann iteration, and Ishikawa iteration on different spaces such as normed linear spaces, Banach spaces, uniformly convex Banach spaces, reflexive spaces, Hilbert spaces, etc., are the main object of study in this survey article. We also discuss applications of pseudo-contractive mappings in other branches of pure and applied mathematics. We mention several known results and state some suggestions for improvement of methods.
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