List of publications
of
2001
· K.Pastor, D.Bednařík, On monotone minimal cuscos, Acta Univ. Palacki.Olomuc., Fac. rer. nat., Mathematica 40 (2001) 185-194.
2002
· D.Bednařík, Uniform Gateaux smoothness of higher order on separable Banach spaces, Extracta Mathematicae Vol. 17, Num. 1, (2002) 69-95.
2003
· D.Bednařík, K.Pastor, A technical note concerning one example, Nonlinear Analysis 55 (2003) 187-189.
2004
· D.Bednařík, K.Pastor, On characterization of convexity for regularly locally Lipschitz functions, Nonlinear Analysis 57 (2004) 85-97.
· D.Bednařík, K.Pastor, Elimination of Strict Convergence in Optimization, SIAM Journal on Control and Optimization, Volume 43, Number 3 (2004) 1063-1077.
2005
· J.Andres, D.Bednařík, K.Pastor, On the notion of derivo-periodicity, Journal of Math. Anal. Appl., 303 (2005) 405-417.
2006
· D.Bednařík, K. Pastor, Errata to Elimination of strict convergence in optimization, SIAM Journal on Control and Optimization, Volume 45, Number 1, (2006) 382-387.
2007
· D.Bednařík, K.Pastor, Second-order Sufficient Condition for l˜ -stable Functions, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 46 (2007) 7–18.
2008
· D.Bednařík, K.Pastor, On second-order conditions in unconstrained optimization, Mathematical Programming., Volume 113, Number 2 (2008), 283--298, available online: doi: 10.1007/s10107-007-0094-8 , ISSN 0025-5610 (Print) 1436-4646 (Online).
·
D. Bednařík, K. Pastor, Differentiability
properties of functions that are l-stable at a point, Nonlinear Analysis, 69
(2008) 3128–3135. (ISSN: 0362-546X). :
doi:10.1016/j.na.2007.09.006
2009
·
D.Bednařík, K.Pastor, l-stable
functions are continuous, Nonlinear Analysis , 70(2009)
2317-2324. doi:10.1016/j.na.2008.03.011
Accepted articles
and articles in press
· D.Bednařík, K.Pastor, Frechet Approach in Second-Order Optimization, Applied Mathematics Letters, doi:10.1016/j.aml.2009.01.019
· D.Bednařík, K.Pastor, Decrease of C^{1,1} property in vector optimization, RAIRO - Operations Research
· D.Bednařík, K. Pastor, A Characterization of C1,1 Functions via Lower Directional Derivatives, Mathematica Bohemica
Proceedings
2008
· D.Bednarik, K.Pastor, O jedné třídě nehladkých funkcí, sborník z konference ODAM, Olomouc, 2008 (in czech).
Articles in preparation.
· On relations of vector optimization results with $C^{1,1}$ data, submitted to Acta Mathematica Sinica
· Continuity and composition of $\ell$–stable vector functions, working paper.
· On $\ell$--stable mappings with values in infinite dimensional Banach spaces, working paper.
· Necessary and sufficient optimality conditions in vector optimization using Hadamard directional derivatives, working paper.
updated : 15-Mar-09