Results 1 to 10 of about 1,032 (207)
Restrictive metric regularity and generalized differential calculus in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2004 We consider nonlinear mappings f:X→Y between Banach spaces and study the notion of restrictive metric regularity of f around some point x¯, that is, metric regularity of f from X into the metric space E=f(X).
Boris S. Mordukhovich, Bingwu Wang
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Provably Convergent Low‐Rank Grayscale Image Fusion via Adaptive Weighted Nuclear Norm Minimization
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.We propose a fully unsupervised, convex, and globally convergent framework for multimodal grayscale image fusion based on adaptive weighted nuclear norm minimization (WNNM). By formulating the fusion task as a low‐rank matrix recovery problem with data‐driven singular value reweighting, the method automatically preserves salient structural features ...
Gargi Trivedi, Muhammad Ahsan
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Local subdifferentials and multivariational inequalities in Banach and Frechet spaces [PDF]
Opuscula Mathematica, 2008 Some functional-topological concepts of subdifferential and locally subdifferential maps in Frechet spaces are established. Multivariational inequalities with an operator of the pseudo-monotone type, connected with subdifferential maps, are considered.
Pavlo O. Kasyanov +2 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper investigates the existence of mild solutions and optimal controls for a class of second‐order delayed neutral nonautonomous evolution systems involving hemivariational inequalities, history‐dependent operators, and Clarke′s generalized subdifferential in Hilbert spaces. The novelty of the proposed framework lies in the simultaneous treatment
Hasanen A. Hammad +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the stochastic horizontal linear complementarity problem (S‐HLCP). By employing a complementarity function, we reformulate the S‐HLCP as an expected residual minimization (ERM) problem. We first establish sufficient conditions based on the R0‐matrix property to ensure the coercivity of the ERM problem.
Jianhua Peng +2 more
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Optimality Conditions Characterizing Approximate Solutions for DC Composite Programs
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper concerns DC composite optimization problems with conic constraints. By virtue of epigraph of conjugate functions, we introduce some new regularity conditions. Under the new regularity conditions, we give some necessary optimality conditions for ε‐optimal solutions, global optimal solutions, and local optimal solutions by using the ε ...
Gang Li, Qiqiong Chen, Smritijit Sen
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Maximal pseudomonotonicity of generalized subdifferentials of explicitly quasiconvex functions
Journal of Numerical Analysis and Approximation Theory, 1988 Not available.
Radu Precup
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Journal of Function Spaces and Applications, 2013 For a set-valued mapping M defined between two Hausdorff topological vector spaces E and F and with closed convex graph and for a given point (x,y)∈E×F, we study the minimal time function associated with the images of M and a bounded set Ω⊂F defined by ...
Messaoud Bounkhel
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Electronic Journal of Differential Equations, 2004 We study a nonlinear evolution equation associated with time-dependent subdifferential in a separable Hilbert space. In particular, we consider an asymptotically periodic system, which means that time-dependent terms converge to time-periodic terms as ...
Noriaki Yamazaki
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An extension of the proximal point algorithm beyond convexity. [PDF]
J Glob Optim, 2022 Grad SM, Lara F.
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