Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Siegfried Schaible"'
Publikováno v:
Journal of Global Optimization. 43:565-575
Pseudomonotone $${_{\ast}}$$ maps are a generalization of paramonotone maps which is very closely related to the cutting plane property in variational inequality problems (VIP). In this paper, we first generalize the so-called minimum principle suffi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b64cabc6af36a68fa00a200b0427a98
https://doi.org/10.1007/s10898-008-9335-5
https://doi.org/10.1007/s10898-008-9335-5
Publikováno v:
Optimization. 56:565-576
In this article, we introduce and study a class of generalized mixed vector equilibrium problems for multifunctions, which includes as special cases a number of generalized vector variational inequalities, generalized vector variational-like inequali
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23bb4e94ff05325d42e5260f9a349953
https://doi.org/10.1080/02331930701617510
https://doi.org/10.1080/02331930701617510
Publikováno v:
Journal of Optimization Theory and Applications. 134:515-531
We consider five different types of systems of generalized vector variational inequalities and derive relationships among them. We introduce the concept of pseudomonotonicity for a family of multivalued maps and prove the existence of weak solutions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a071b0dae3635a885f7df47b9ae5780b
https://doi.org/10.1007/s10957-007-9236-7
https://doi.org/10.1007/s10957-007-9236-7
Publikováno v:
Optimization. 56:105-114
The auxiliary principle technique is extended to develop an iterative algorithm for finding approximate solutions of a mixed variational-like inequality in a real Hilbert space. Not only the existence of approximate solutions of a mixed variational-l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8d9c45230f67d7472d3c850ba452d91
https://doi.org/10.1080/02331930600808483
https://doi.org/10.1080/02331930600808483
Publikováno v:
Optimization. 55:593-604
Paramonotone maps are monotone maps that satisfy a mild additional condition. They were introduced in order to ensure convergence of certain algorithms for solving the Stampacchia variational inequality. Recently, this concept has been generalized to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2369b6e2ac102e1230c9cd1afe1b471
https://doi.org/10.1080/02331930600816114
https://doi.org/10.1080/02331930600816114
Publikováno v:
Journal of Optimization Theory and Applications. 126:309-322
We consider a general class of equilibrium problems which involve a single-valued mapping and a nonsmooth bifunction. Such mixed equilibrium problems are solved with a combined relaxation method using an auxiliary iteration of a splitting-type method
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::43d60d45f69c1ae7e3c4d4cbf0d47521
https://doi.org/10.1007/s10957-005-4716-0
https://doi.org/10.1007/s10957-005-4716-0
Publikováno v:
Journal of Optimization Theory and Applications. 126:203-213
We extend the Charnes-Cooper transformation to complex fractional programs involving continuous complex functions and analytic functions. Such problems are shown to be equivalent to nonfractional complex programming problems. This technique is employ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a35abfee29cb72809d9c8962b17ff9f
https://doi.org/10.1007/s10957-005-2669-y
https://doi.org/10.1007/s10957-005-2669-y
Publikováno v:
Mathematical Methods of Operations Research. 61:261-280
We study increasing quasiconcave functions which are co-radiant. Such functions have frequently been employed in microeconomic analysis. The study is carried out in the contemporary framework of abstract convexity and abstract concavity. Various prop
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62b7898dab1efd1304f4c67cbc845aba
https://doi.org/10.1007/s001860400405
https://doi.org/10.1007/s001860400405
Publikováno v:
Journal of Optimization Theory and Applications. 124:725-738
The auxiliary principle technique is extended to study the generalized strongly nonlinear mixed variational-like inequality problem for set-valued mappings without compact values. We establish first the existence of a solution of the related auxiliar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2aaa4a5b2ee366eff4ccce6af0c00d0
https://doi.org/10.1007/s10957-004-1182-z
https://doi.org/10.1007/s10957-004-1182-z
Autor:
Siegfried Schaible, Monica Bianchi
Publikováno v:
Journal of Global Optimization. 30:121-134
Generalized convex functions preserve many valuable properties of mathematical programming problems with convex functions. Generalized monotone maps allow for an extension of existence results for variational inequality problems with monotone maps. B
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e64aa9d2bb915824e0da877350267996
https://doi.org/10.1007/s10898-004-8269-9
https://doi.org/10.1007/s10898-004-8269-9