Quasibounded mappings : fixed point theorems and applications

Deb, Susanta (1972) Quasibounded mappings : fixed point theorems and applications. Masters thesis, Memorial University of Newfoundland.

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Abstract

Chapter I contains some necessary preliminaries which may be found in most functional analysis texts. Also some fixed point theorems including those of Schauder [46], Furi & Vignoli [22], Swaminathan & Thompson [51], Nussbaum [36] and Petryshyn [37] are given in this chapter. -- Chapter II deals with the study of quasibounded mappings and their fixed points. A systematic and up to date summary of known results is given in this chapter. Also some of the known results have been extended. -- In Chapter III some applications of the fixed point theorems are illustrated by taking suitable examples.

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