Nonstandard Methods in Fixed Point Theory

1. Front Matter

   Pages i-ix

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2. Schauder Bases

   • Asuman Güven Aksoy, Mohamed A. Khamsi

   Pages 1-9

3. Chapter 1

   • Asuman Güven Aksoy, Mohamed A. Khamsi

   Pages 10-18

4. Chapter 2

   • Asuman Güven Aksoy, Mohamed A. Khamsi

   Pages 19-48

5. Chapter 3

   • Asuman Güven Aksoy, Mohamed A. Khamsi

   Pages 49-117

6. Back Matter

   Pages 118-139

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A unified account of the major new developments inspired by Maurey's application of Banach space ultraproducts to the fixed point theory for non-expansive mappings is given in this text. The first third of the book is devoted to laying a careful foundation for the actual fixed point theoretic results which follow. Set theoretic and Banach space ultraproducts constructions are studied in detail in the second part of the book, while the remainder of the book gives an introduction to the classical fixed point theory in addition to a discussion of normal structure. This is the first book which studies classical fixed point theory for non-expansive maps in the view of non-standard methods.

• Banach Space
• Finite
• addition
• banach spaces
• boundary element method
• construction
• development
• fixed point theory
• language
• mapping
• theorem
• ultraproduct

• Department of Mathematics, Claremont McKenna College, Claremont, USA

  Asuman Güven Aksoy

• Department of Mathematical Sciences, University of Texas at El Paso, El Paso, USA

  Mohamed A. Khamsi

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