Approximation Theorems For N-Nonexpansive-Type Operators In Certain Banach Spaces:- Udofia, Unwana E

Authors: UDOFIA, UNWANA EFFIONG | Natural & Applied Sciences Mathematics Dissertations 234 pages 51,889 words

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ABSTRACT The class of monotone a-nonexpansive, monotone generalized a-nonexpansive and to approximate the fixed points of these operators. Proofs of existence and convergence theorems for these classes of operators have been established. Again, stability theorems, rate of convergence and data dependence results for the newly introduced iteration schemes have been established. Finally, the obtained results have been applied to solve a Volterra-Fredholm Functional Integral Equation, Delay Differential Equation and Constrained Convex Minimization Problem. multivalued generalized cv-nonexpansive operators are studied in certain Banach spaces. Also, some new iteration schemes namely the AU-iteration scheme, Ul-iteration scheme and the multivalued UD-iteration scheme have been introduced

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