Adriana Nicolae

Adriana Nicolae

Associate Professor
Department of Mathematics
Babeș-Bolyai University
Kogălniceanu 1, 400084
Cluj-Napoca, Romania
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Current teaching (second semester 2025/2026):

Analiză reală (Matematică, Matematică și Informatică):
Real Analysis (Mathematics and Computer Science, English):

Publications:

Articles:

A. Goodwin, A.S. Lewis, G. López-Acedo, A. Nicolae, Recognizing weighted means in geodesic spaces, Found. Comput. Math. (in press).
A.S. Lewis, A. Nicolae, T. Tian, Local geometry of feasible regions via smooth paths, J. Convex Anal. 32 (2025), 511-544.
A. Goodwin, A.S. Lewis, G. López-Acedo, A. Nicolae, Convex optimization on CAT(0) cubical complexes, Adv. in Appl. Math. 165 (2025), Paper No. 102849, 20 pp.
A.S. Lewis, G. López-Acedo, A. Nicolae, Basic convex analysis in metric spaces with bounded curvature, SIAM J. Optim. 34 (2024), 366-388.
G. López-Acedo, A. Nicolae, Remarks on the continuity of convex functions in geodesic spaces, Topol. Methods Nonlinear Anal. 63 (2024), 299-307.
A.S. Lewis, G. López-Acedo, A. Nicolae, Local linear convergence of alternating projections in metric spaces with bounded curvature, SIAM J. Optim. 32 (2022), 1094-1119.
U. Kohlenbach, G. López-Acedo, A. Nicolae, A uniform betweennness property in metric spaces and its role in the quantitative analysis of the "Lion-Man" game, Pacific J. Math. 310 (2021), 181-212.
G. López-Acedo, A. Nicolae, B. Piatek, Geodesic rays, the "Lion-Man" game, and the fixed point property, J. Math. Anal. Appl. 487 (2020), 123948, 17 pp.
G. López-Acedo, A. Nicolae, B. Piatek, "Lion-Man" and the fixed point property, Geom. Dedicata 202 (2019), 69-80.
U. Kohlenbach, G. López-Acedo, A. Nicolae, Moduli of regularity and rates of convergence for Fejér monotone sequences, Israel J. Math. 232 (2019), 261-297.
L. Leuștean, A. Nicolae, A. Sipoş, An abstract proximal point algorithm, J. Global Optim. 72 (2018), 553-577.
R. Espínola, O. Madiedo, A. Nicolae, Borsuk-Dugundji type extension theorems with Busemann convex target spaces, Ann. Acad. Sci. Fenn. Math. 43 (2018), 225-238.
U. Kohlenbach, L. Leuștean, A. Nicolae, Quantitative results on Fejér monotone sequences, Commun. Contemp. Math. 20 (2018), 1750015, 42 pp.
U. Kohlenbach, G. López-Acedo, A. Nicolae, Quantitative asymptotic regularity results for the composition of two mappings, Optimization 66 (2017), 1291-1299.
L. Leuștean, A. Nicolae, A note on an alternative iterative method for nonexpansive mappings, J. Convex Anal. 24 (2017), 501-503.
U. Kohlenbach, A. Nicolae, A proof-theoretic bound extraction theorem for CAT(k)-spaces, Studia Logica 105 (2017), 611-624.
D. Ariza-Ruiz, A. Fernández-León, G. López-Acedo, A. Nicolae, Chebyshev sets in geodesic spaces, J. Approx. Theory 207 (2016), 265-282.
L. Leuștean, A. Nicolae, Effective results on nonlinear ergodic averages in CAT(k) spaces, Ergodic Theory Dynam. Systems 36 (2016), 2580-2601.
R. Espínola, A. Nicolae, Proximal minimization in CAT(k) spaces, J. Nonlinear Convex Anal. 17 (2016), 2329-2338.
A. Kristály, C. Li, G. López-Acedo, A. Nicolae, What do 'convexities' imply on Hadamard manifolds? J. Optim. Theory Appl. 170 (2016), 1068-1074.
L. Leuștean, A. Nicolae, A note on an ergodic theorem in weakly uniformly convex geodesic spaces, Arch. Math. (Basel) 105 (2015), 467-477.
R. Espínola, A. Nicolae, Continuous selections of Lipschitz extensions in metric spaces, Rev. Mat. Complut. 28 (2015), 741-759.
D. Ariza-Ruiz, G. López-Acedo, A. Nicolae, The asymptotic behavior of the composition of firmly nonexpansive mappings, J. Optim. Theory Appl. 167 (2015), 409-429.
A. Nicolae, Fixed points of uniformly Lipschitz type and asymptotically nonexpansive multivalued mappings, J. Nonlinear Convex Anal. 15 (2014), 1279-1292.
A. Fernández-León, A. Nicolae, Best proximity pair results for relatively nonexpansive mappings in geodesic spaces, Numer. Funct. Anal. Optim. 35 (2014), 1399-1418.
L. Leuștean, A. Nicolae, Effective results on compositions of nonexpansive mappings, J. Math. Anal. Appl. 410 (2014), 902-907.
R. Espínola, A. Nicolae, Uniform convexity of geodesic Ptolemy spaces, J. Convex Anal. 20 (2013), 689-700.
A. Nicolae, Asymptotic behavior of averaged and firmly nonexpansive mappings in geodesic spaces, Nonlinear Anal. 87 (2013), 102-115.
A. Fernández-León, A. Nicolae, Averaged alternating reflections in geodesic spaces, J. Math. Anal. Appl. 402 (2013), 558-566.
R. Espínola, A. Nicolae, Mutually nearest and farthest points of sets and the Drop Theorem in geodesic spaces, Monatsh. Math. 165 (2012), 173-197.
R. Espínola, P. Lorenzo, A. Nicolae, Fixed points, selections and common fixed points of nonexpansive-type mappings, J. Math. Anal. Appl. 382 (2011), 503-515.
A. Nicolae, D. O'Regan, A. Petrușel, Fixed point theorems for single and multivalued generalized contractions in metric spaces endowed with a graph, Georgian Math. J. 18 (2011), 307-327.
A. Nicolae, Fixed point theorems for multi-valued mappings of Feng-Liu type, Fixed Point Theory 12 (2011), 145-154.
R. Espínola, A. Nicolae, Geodesic Ptolemy spaces and fixed points, Nonlinear Anal. 74 (2011), 27-34.
A. Nicolae, Generalized asymptotic pointwise contractions and nonexpansive mappings involving orbits, Fixed Point Theory Appl. Volume 2010 (2010), Article ID 458265, 19 pp.
A. Nicolae, On some generalized contraction type mappings, Appl. Math. Lett. 23 (2010), 133-136.

Book: Ș. Cobzaș, R. Miculescu, A. Nicolae, Lipschitz Functions, Lecture Notes in Mathematics 2241, Springer, Cham, 2019.