# zbMATH — the first resource for mathematics

##### Examples
 Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "straight quotation marks". au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted. Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff. "Quasi* map*" py: 1989 The resulting documents have publication year 1989. so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14. "Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic. dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles. py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses). la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

##### Operators
 a & b logic and a | b logic or !ab logic not abc* right wildcard "ab c" phrase (ab c) parentheses
##### Fields
 any anywhere an internal document identifier au author, editor ai internal author identifier ti title la language so source ab review, abstract py publication year rv reviewer cc MSC code ut uncontrolled term dt document type (j: journal article; b: book; a: book article)
An example concerning fixed points. (English) Zbl 0314.47031

##### MSC:
 47H10 Fixed point theorems for nonlinear operators on topological linear spaces 46C05 Hilbert and pre-Hilbert spaces: geometry and topology
##### References:
 [1] F. E. Browder,Non expansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sci. U.S.A.54 (1965), 1041–1044. · Zbl 0128.35801 · doi:10.1073/pnas.54.4.1041 [2] S. Kaniel,Construction of a fixed point for contractions in Banach spaces, Israel J. Math.,9 (1971), 535–540. · Zbl 0222.47022 · doi:10.1007/BF02771468 [3] W. A. Kirk,A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly72 (1965), 1004–1006. · Zbl 0141.32402 · doi:10.2307/2313345 [4] M. D. Kirzbraun,Über die zusammenziehenden und Lipshitzschen Transformationen, Fund. Math.22 (1934), 77–108. [5] M. A. Krasnoselski,Two remarks on the method of successive approximation, Uspehi Mat. Nauk10 (1955), 123–127. [6] Z. Opial,Weak convergence of the successive approximations for non expansive mappings in Banach spaces, Bull. Amer. Math. Soc.73 (1967), 591–597. · Zbl 0179.19902 · doi:10.1090/S0002-9904-1967-11761-0