Adriana Nicolae
Associate Professor
Department of Mathematics
Babeș-Bolyai University
Kogălniceanu 1, 400084
Cluj-Napoca, Romania
anicolae
math ubbcluj ro
Current teaching (second semester 2025/2026):
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Analiză reală (Matematică, Matematică și Informatică):
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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).
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A.S. Lewis, A. Nicolae, T. Tian, Local geometry of feasible regions via smooth paths, J. Convex Anal. 32 (2025), 511-544.
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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.
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A.S. Lewis, G. López-Acedo, A. Nicolae, Basic convex analysis in metric spaces with bounded curvature, SIAM J. Optim. 34 (2024), 366-388.
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G. López-Acedo, A. Nicolae, Remarks on the continuity of convex functions in geodesic spaces, Topol. Methods Nonlinear Anal. 63 (2024), 299-307.
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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.
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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.
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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.
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G. López-Acedo, A. Nicolae, B. Piatek, "Lion-Man" and the fixed point property, Geom. Dedicata 202 (2019), 69-80.
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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.
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L. Leuștean, A. Nicolae, A. Sipoş, An abstract proximal point algorithm, J. Global Optim. 72 (2018), 553-577.
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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.
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U. Kohlenbach, L. Leuștean, A. Nicolae, Quantitative results on Fejér monotone sequences, Commun. Contemp. Math. 20 (2018), 1750015, 42 pp.
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U. Kohlenbach, G. López-Acedo, A. Nicolae, Quantitative asymptotic regularity results for the composition of two mappings, Optimization 66 (2017), 1291-1299.
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L. Leuștean, A. Nicolae, A note on an alternative iterative method for nonexpansive mappings, J. Convex Anal. 24 (2017), 501-503.
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U. Kohlenbach, A. Nicolae, A proof-theoretic bound extraction theorem for CAT(k)-spaces, Studia Logica 105 (2017), 611-624.
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D. Ariza-Ruiz, A. Fernández-León, G. López-Acedo, A. Nicolae, Chebyshev sets in geodesic spaces, J. Approx. Theory 207 (2016), 265-282.
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L. Leuștean, A. Nicolae, Effective results on nonlinear ergodic averages in CAT(k) spaces, Ergodic Theory Dynam. Systems 36 (2016), 2580-2601.
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R. Espínola, A. Nicolae, Proximal minimization in CAT(k) spaces, J. Nonlinear Convex Anal. 17 (2016), 2329-2338.
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A. Kristály, C. Li, G. López-Acedo, A. Nicolae, What do 'convexities' imply on Hadamard manifolds? J. Optim. Theory Appl. 170 (2016), 1068-1074.
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L. Leuștean, A. Nicolae, A note on an ergodic theorem in weakly uniformly convex geodesic spaces, Arch. Math. (Basel) 105 (2015), 467-477.
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R. Espínola, A. Nicolae, Continuous selections of Lipschitz extensions in metric spaces, Rev. Mat. Complut. 28 (2015), 741-759.
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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.
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A. Nicolae, Fixed points of uniformly Lipschitz type and asymptotically nonexpansive multivalued mappings, J. Nonlinear Convex Anal. 15 (2014), 1279-1292.
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A. Fernández-León, A. Nicolae, Best proximity pair results for relatively nonexpansive mappings in geodesic spaces, Numer. Funct. Anal. Optim. 35 (2014), 1399-1418.
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L. Leuștean, A. Nicolae, Effective results on compositions of nonexpansive mappings, J. Math. Anal. Appl. 410 (2014), 902-907.
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R. Espínola, A. Nicolae, Uniform convexity of geodesic Ptolemy spaces, J. Convex Anal. 20 (2013), 689-700.
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A. Nicolae, Asymptotic behavior of averaged and firmly nonexpansive mappings in geodesic spaces, Nonlinear Anal. 87 (2013), 102-115.
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A. Fernández-León, A. Nicolae, Averaged alternating reflections in geodesic spaces, J. Math. Anal. Appl. 402 (2013), 558-566.
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R. Espínola, A. Nicolae, Mutually nearest and farthest points of sets and the Drop Theorem in geodesic spaces, Monatsh. Math. 165 (2012), 173-197.
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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.
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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.
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A. Nicolae, Fixed point theorems for multi-valued mappings of Feng-Liu type, Fixed Point Theory 12 (2011), 145-154.
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R. Espínola, A. Nicolae, Geodesic Ptolemy spaces and fixed points, Nonlinear Anal. 74 (2011), 27-34.
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A. Nicolae, Generalized asymptotic pointwise contractions and nonexpansive mappings involving orbits, Fixed Point Theory Appl. Volume 2010 (2010), Article ID 458265, 19 pp.
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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.