Fixed point theorems and applications. (2019)

• Record Type: Book
• Further Information: Note: Vittorino Pata.
• Authors: Pata, Vittorino, 1966-
• Contents: 1 The Banach contraction principle 7.- 2 The Boyd-Wongtheorem 13.- 3 Further extensions of the contraction principle 16.- 4 Weak contractions 23.- 5 Contractions of ε-type 29.- 6 Sequences of maps and fixed points 36.- 7 Fixed points of non-expansive maps 39.- 8 The Riesz mean ergodic theorem 42.- 9 The Brouwer fixed point theorem 46.- 10 The Schauder-Tychonoff fixed point theorem 50.- 11 Further consequences of the Schauder-Tychonoff theorem 55.- 12 TheMarkov-Kakutani theorem 60.- 13 TheKakutani-Ky Fan theorem 62.- 14 The implicit function theorem 70.- 15 Location of zeros 75.- 16 Ordinary differential equations in Banach spaces 78.- 17 The Lax-Milgram lemma 89.- 18 An abstract elliptic problem 97.- 19 Semilinear evolution equations 101.- 20 An abstract parabolic problem 108.- 21 The invariant subspace problem 114.- 22 Measure preserving maps on compact Hausdorff spaces 118.- 23 Invariant means on semigroups 120.- 24 Haar measures 123.- 25 Game theory 130.- 26 Problems.
• Publisher Details: Cham : Springer
• Publication Date: 2019
• Extent: 1 online resource (xvii, 171 pages), illustrations
• Subjects: 515/.7248; Fixed point theory; Electronic books
• Languages: English
• ISBNs: 9783030196707; 3030196704
• Related ISBNs: 9783030196691
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed September 27, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.