Results 11 to 20 of about 659 (80)
An intermediate value theorem in ordered Banach spaces [PDF]
, 2012 We consider a monotone increasing operator in an ordered Banach space having $u_-$ and $u_+$ as a strong super- and subsolution, respectively. In contrast with the well studied case $u_+ < u_-$, we suppose that $u_- < u_+$.
Anna Oleynik +6 more
core +2 more sources
An N-dimensional version of the Beurling-Ahlfors extension [PDF]
, 2009 We extend monotone quasiconformal mappings from dimension n to n+1 while preserving both monotonicity and quasiconformality. The extension is given explicitly by an integral operator.
Kovalev, Leonid V., Onninen, Jani
core +3 more sources
Abstract and Applied Analysis, Volume 2003, Issue 1, Page 19-31, 2003., 2003 The notions of relaxed submonotone and relaxed monotone mappings in Banach spaces are introduced and many of their properties are investigated. For example, the Clarke subdifferential of a locally Lipschitz function in a separable Banach space is relaxed submonotone on a residual subset.
Tzanko Donchev, Pando Georgiev
wiley +1 more source
Convergence theorems for generalized projections and maximal monotone operators in Banach spaces
Abstract and Applied Analysis, Volume 2003, Issue 10, Page 621-629, 2003., 2003 We study a sequence of generalized projections in a reflexive, smooth, and strictly convex Banach space. Our result shows that Mosco convergence of their ranges implies their pointwise convergence to the generalized projection onto the limit set. Moreover, using this result, we obtain strong and weak convergence of resolvents for a sequence of maximal ...
Takanori Ibaraki +2 more
wiley +1 more source
Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 10, Page 611-617, 2002., 2002 Suppose that X is an arbitrary real Banach space and T : X → X is a Lipschitz strongly pseudocontractive operator. It is proved that under certain conditions the Ishikawa iterative method with errors converges strongly to the fixed point of T and this iteration procedure is stable with respect to T.
Zeqing Liu, Lili Zhang, Shin Min Kang
wiley +1 more source
Topological degree and application to a parabolic variational inequality problem
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 4, Page 273-287, 2001., 2001 We are interested in constructing a topological degree for operators of the form F = L + A + S, where L is a linear densely defined maximal monotone map, A is a bounded maximal monotone operators, and S is a bounded demicontinuous map of class (S+) with respect to the domain of L.
A. Addou, B. Mermri
wiley +1 more source
Semilinear systems with a multi-valued nonlinear term
Open Mathematics, 2017 Introducing a topological degree theory, we first establish some existence results for the inclusion h ∈ Lu − Nu in the nonresonance and resonance cases, where L is a closed densely defined linear operator on a Hilbert space with a compact resolvent and ...
Kim In-Sook, Hong Suk-Joon
doaj +1 more source
A G‐KKM type theorem and its applications to minimax inequalities on G‐convex spaces
International Journal of Stochastic Analysis, Volume 11, Issue 4, Page 493-505, 1998., 1998 A G‐KKM type theorem is obtained on G‐convex spaces. As application, a generalization of Ky Fan′s minimax inequality to non‐compact sets on G‐convex spaces is first obtained. As special cases of this minimax inequality, some new minimax inequalites are obtained. Four fixed point theorems and four equivalent formulations of the second minimax inequality
Mohammad S. R. Chowdhury
wiley +1 more source
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 197-205, 1997., 1997 Various eigenvalue and range results are given for perturbations of m‐accretive and maximal monotone operators. The eigenvalue results improve and extend some recent results by Guan and Kartsatos, while the range theorem gives an affirmative answer to a recent problem of Kartsatos.
Zhou Haiyun, Athanassios G. Kartsatos
wiley +1 more source
The fixed point index for accretive mapping with K—set contraction perturbation in cones
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 287-290, 1996., 1994 Let P be cone Banach space E, A, K are two mappings in P, A accretive, K is K—set contraction, then fixed point index defined for mapping −A + K, some fixed point theorems are also deduced.
Yu-Qing Chen
wiley +1 more source