Results 1 to 10 of about 988 (114)
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
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Nonlinear Fokker-Planck Equations with Time-Dependent Coefficients [PDF]
SIAM Journal on Mathematical Analysis, 2021 An operatorial based approach is used here to prove the existence and uniqueness of a strong solution $u$ to the time-varying nonlinear Fokker--Planck equation $u_t(t,x)-\Delta(a(t,x,u(t,x))u(t,x))+{\rm div}(b(t,x,u(t,x))u(t,x))=0$ in $(0,\infty)\times ...
V. Barbu, M. Röckner
semanticscholar +1 more source
The Bregman Proximal Average [PDF]
SIAM Journal on Optimization, 2021 We provide a proximal average with repect to a 1-coercive Legendre function. In the sense of Bregman distance, the Bregman envelope of the proximal average is a convex combination of Bregman envelopes of individual functions. The Bregman proximal mapping
Xianfu Wang, Heinz H. Bauschke
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Attouch-Théra Duality, Generalized Cycles, and Gap Vectors [PDF]
SIAM Journal on Optimization, 2021 Using the Attouch-Théra duality, we study the cycles, gap vectors and fixed point sets of compositions of proximal mappings. Sufficient conditions are given for the existence of cycles and gap vectors.
S. Alwadani +2 more
semanticscholar +1 more source
𝑚th roots of the identity operator and the geometry conjecture [PDF]
, 2021 In this paper, we give three different new proofs of the validity of the geometry conjecture about cycles of projections onto nonempty closed, convex subsets of a Hilbert space.
S. Simons
semanticscholar +1 more source
On the dynamics of grounded shallow ice sheets: Modeling and analysis
Advances in Nonlinear Analysis, 2023 In this article, we formulate a model describing the evolution of thickness of a grounded shallow ice sheet. The thickness of the ice sheet is constrained to be nonnegative. This renders the problem under consideration an obstacle problem.
Piersanti Paolo, Temam Roger
doaj +1 more source
Solving Composite Fixed Point Problems with Block Updates
Advances in Nonlinear Analysis, 2021 Various strategies are available to construct iteratively a common fixed point of nonexpansive operators by activating only a block of operators at each iteration.
Combettes Patrick L., Glaudin Lilian E.
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Firmly nonexpansive mappings in classes of geodesic spaces [PDF]
, 2012 Firmly nonexpansive mappings play an important role in metric fixed point theory and optimization due to their correspondence with maximal monotone operators.
David Ariza-Ruiz +2 more
semanticscholar +1 more source
Demonstratio Mathematica, 2023 The primary goal of this research is to investigate the approximate numerical solution of variational inequalities using quasimonotone operators in infinite-dimensional real Hilbert spaces.
Rehman Habib ur +4 more
doaj +1 more source
A Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces
Topological Algebra and its Applications, 2023 In this article, we propose a Halpern-type subgradient extragradient algorithm for solving a common element of the set of solutions of variational inequality problems for continuous monotone mappings and the set of f-fixed points of continuous f ...
Zegeye Habtu, Boikanyo Oganeditse A.
doaj +1 more source