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)
New existence results and generalizations for coincidence points and fixed points without global completeness. (English) Zbl 1267.54042
Author’s abstract: Some new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without global completeness are established in this paper. By exploiting these results, we prove some new coincidence point and fixed point theorems which generalize and improve Berinde-Berinde’s fixed point theorem [M. Berinde and V. Berinde, J. Math. Anal. Appl. 326, No. 2, 772–782 (2007; Zbl 1117.47039)], Mizoguchi-Takahashi’s fixed point theorem [N. Mizoguchi and W. Takahashi, J. Math. Anal. Appl. 141, No. 1, 177–188 (1989; Zbl 0688.54028)], Kikkawa-Suzuki’s fixed point theorem [M. Kikkawa and T. Suzuki, Nonlinear Anal., Theory Methods Appl. 69, No. 9, A, 2942–2949 (2008; Zbl 1152.54358)], and some other well known results in the literature. Moreover, some applications of our results to the existence of coupled coincidence point and coupled fixed point are presented.
MSC:
54H25Fixed-point and coincidence theorems in topological spaces
54C60Set-valued maps (general topology)
54E35Metric spaces, metrizability