Solvability Of Various Classes Of Nonlinear Equations

Authors: FRANCIS, DANIEL | Natural & Applied Sciences Mathematics Theses 64 pages 15,526 words

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ABSTRACT

 The Kuratowski’s measure of noncompactness of bounded sets , k−set contraction for k ∈ [0, 1), 1−set contraction and condensing mappings were studied. Some axiomatic properties of measure of noncompactness were used in determining a measure of noncompactness of a closed ball in an infinite dimensional Banach space and we used condensing property to solve some classes of nonlinear equations.The results confirmed the solvability of classes of nonlinear equations considered.

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