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)
A system of nonlinear variational inequalities involving strongly monotone and pseudocontractive mappings. (English) Zbl 1098.47055
The authors extend, improve and unify results of R. U. Verma [Comput. Math. Appl. 41, No. 7–8, 1025–1031 (2001; Zbl 0995.47042)], X. Chen, C. Deng and M. Tan [J. Sichuan Univ., Nat. Sci. Ed. 38, No. 6, 813–817 (2001; Zbl 1003.49011)]. They introduce and study a new class of system of generalized nonlinear variational inequalities involving strongly monotone and pseudocontractive mappings in Hilbert spaces and prove the equivalence between the fixed point problem and a system of generalized nonlinear variational inequalities. Using this equivalence, they investigate the existence and uniqueness of solutions of the considered system of generalized nonlinear variational inequalities and suggest new iterative algorithms for computing the approximate solutions. They also give a convergence analysis of these algorithms.

MSC:
47J20Inequalities involving nonlinear operators
49J40Variational methods including variational inequalities
47H05Monotone operators (with respect to duality) and generalizations