Wiginton, C. Lamar2022-06-222022-06-22196913678797https://hdl.handle.net/10657/9734A survey of fixed point theorems in analysis is given from their initiation to the present. The many and varied operators and spaces which occur are classified into a logical arrangement. An analysis is made of certain classical as well as very recent general theorems, and a generalization of one of the modern theorems is proved. The application of fixed point theorems to the proof of existence and uniqueness of solutions to differential and integral equations is illustrated by several examples. Many conjectures and suggestions for further research are interspersed with the ordered arrangement of the fixed point theorems in analysis which appear in the literature.application/pdfenThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.Thesisreformatted digital