Abstract
This chapter is a precis of the basic definitions and theorems used in the sequel. It is presumed that the reader is familiar with naive set theory (see Halmos [4]) and the properties of real numbers and real functions (see Bartle [1]). Other mathematical concepts and theorems relevant to specific sections of a chapter will be recalled therein.
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References
Bartle, R.G.: The Elements of Real Analysis, 2nd edn. Wiley, New York (1976)
Bollobas, B.: Linear Analysis, An Introductory Course, 2nd edn. Cambridge University Press, Cambridge (1999)
Dugundji, J.: Topology. Allyn and Bacon Inc., Boston (1966)
Halmos, P.R.: Naive Set Theory. D. Van Nostrand Co., Princeton (1960)
Kantorovich, L.V., Akilov, G.P.: Functional Analysis, Translated from the Russian by Howard L. Silcock, 2nd edn. Pergamon Press, Oxford-Elmsford (1982)
Kaplansky, I.: Set Theory and Metric Spaces, 2nd edn. Chelsea Publishing Co., New York (1977)
Kelley, J.L.: General Topology. D. Van Nostrand Company, Inc., Toronto (1955)
Lusternik, L.A., Sobolev, V.J.: Elements of Functional Analysis. Hindustan Publishing Corporation, Delhi (1974)
Munkres, J.R.: Topology: A First Course. Prentice-Hall, Inc., Englewood Cliffs (1975)
Royden, H.L.: Real Analysis, 3rd edn. Macmillan Publishing Company, New York (1988)
Rudin, W.: Functional Analysis. Tata McGraw-Hill Publishing Co. Ltd., New Delhi (1974)
Rudin, W.: Real and Complex Analysis, 3rd edn. McGraw-Hill Book Co., New York (1987)
Simmons, G.F.: Introduction to Topology and Modern Analysis. McGraw-Hill Book Co., Inc., New York (1963)
Taylor, A.E.: Introduction to Functional Analysis. Wiley, New York; Chapman Hall, Ltd., London (1958)
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Subrahmanyam, P.V. (2018). Prerequisites. In: Elementary Fixed Point Theorems. Forum for Interdisciplinary Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-13-3158-9_1
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DOI: https://doi.org/10.1007/978-981-13-3158-9_1
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