List of publications

of

Dusan Bednarik

 

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