Results 111 to 120 of about 9,586,445 (221)

Functional evolution equations with nonconvex lower semicontinuous multivalued perturbations

, 1998
In this paper we prove some existence theorems concerning the solutions and integral solution for functional (delay) evolution equations with nonconvex lower semicontinuous multivalued ...
A. G. Ibrahim
core   +1 more source

On Fr\'{e}chet Subdifferential of Supremum for Arbitrary Family of Continuous Functions

Известия Иркутского государственного университета: Серия "Математика"
The paper focuses on the Fr\'{e}chet subdifferential of the pointwise supremum of the family of functions taken over arbitrary index sets. The all functions in the corresponding family are defined on a Fr\'{e}chet smooth space; this class of Banach ...
D. V. Khlopin
doaj   +1 more source

A convex, finite and lower semicontinuous function with empty subdifferential

We give an example of a convex, finite and lower semicontinuous function whose subdifferential is everywhere empty. This is possible since the function is defined on an incomplete normed space. The function serves as a universal counterexample to various
Wachsmuth, Gerd
core  

Finding quadratic underestimators for optimal value functions of nonconvex all-quadratic problems via copositive optimization

EURO Journal on Computational Optimization
Modeling parts of an optimization problem as an optimal value function that depends on a top-level decision variable is a regular occurrence in optimization and an essential ingredient for methods such as Benders Decomposition.
Markus Gabl, Immanuel M. Bomze
doaj   +1 more source

A topological study for the existence of lower-semicontinuous Richter-Peleg multi-utilities [PDF]

In the present paper we study necessary and sufficient conditions for the existence of a semicontinuous and finite Richter-Peleg multi-utility for a preorder.
Estevan, Asier, Raventós, Armajac, Bosi, Gianni   +2 more
core   +1 more source

Difference of two strong Światkowski lower semicontinuous functions

, 2017
The problem of a family functions representable as the difference of two lower semicontinuous strong Światkowski functions is discussed. Particularly, we suggest how to characterize such systems.
Robert Menkyna
core   +1 more source

Common Fixed Point of Multivalued Generalized -Weak Contractive Mappings

Fixed Point Theory and Applications, 2010
Fixed point and coincidence results are presented for multivalued generalized -weak contractive mappings on complete metric spaces, where is a lower semicontinuous function with and for all . Our results extend previous results by Zhang and Song
Moradi Sirous, Djafari Rouhani Behzad
doaj  

Weak Convergence of Robust Functions on Topological Groups

Mathematics
This paper introduces weak variants of level convergence (L-convergence) and epigraph convergence (E-convergence) for nets of level functions on general topological spaces, extending the classical metric and real-valued frameworks to ordered codomains ...
Víctor Ayala, Heriberto Román-Flores, Adriano Da Silva   +2 more
doaj   +1 more source

Lower semicontinuity of the Willmore functional for currents

Journal of Differential Geometry, 2009
The weak mean curvature is lower semicontinuous under weak convergence of varifolds that is if μk → μ weakly as varifolds then ‖ ~ Hμ ‖Lp(μ)≤ lim infk→∞ ‖ ~ Hμk ‖Lp(μk) . In contrast, if Tk → T weakly as integral currents then μT may not have locally bounded first variation even if ‖ ~ HμTk ‖L∞(μk) is bounded. In 1999, Luigi Ambrosio asked the question
openaire   +2 more sources

Lower Semicontinuity of Functionals via the Concentration-Compactness Principle

Journal of Mathematical Analysis and Applications, 2001
It is proved that, if \(\Omega\) is a bounded open subset of \({\mathbb R}^N\) and ...
openaire   +1 more source