MAILING ADDRESS: Dr. Moliner 50,
46100, Burjassot, Valencia, SPAIN
(+34) 96- 3543902
FAX: (+34) 963544360
Office: 317, Edificio Investigación.
E-MAIL: enrique.llorens@uv.es
Areas of interest:
Biographical
Publications
1. E. Llorens Fuster
Rev. Real Acad. Ciencias Exactas Fís. Nat., 81 (1987), 131-135. (MR 89f: 46034).
2. Jiménez Melado, A.; Llorens-Fuster, E.;
Some relations between certain problems on nonexpansive mappings.
Radovi Matematicki 2, 1986, n.1. 45-49. (MR 88f: 47050).
3. Jiménez Melado, A.; Llorens-Fuster, E.;
Stability of the fixed point property for nonexpansive mappings.
Houston J. Math. 18 (1992), 251--257. (MR 93d:47097).
4. García-Falset, J.; Jiménez Melado, A.; Llorens-Fuster, E.,
A characterization of normal structure in Banach spaces,
in Fixed Point Theory and Applications, K.K. Tan Ed. 1992, World Scientific Publ. (MR 93j: 46019).
5. García-Falset, J.; Llorens-Fuster, E.;
A geometric property of Banach spaces related to the Fixed Point property.
J. of Math. Analysis and Appl. 172 (1993), 39--52. (MR 93m: 46009).
6. Jiménez Melado, A.; Llorens-Fuster, E.;
A sufficient condition for the fixed point property.
Nonlinear Anal. TMA 20 (1993), 849--853. (MR 94a: 47097).
7. García-Falset, J.; Jiménez Melado, A.; Llorens-Fuster, E.,
Measures of noncompactness and normal structure in Banach spaces.
Studia Math. 110 (1994), 1--8. (MR94a 47097).
8. García-Falset, J.; Llorens-Fuster, E.;
Normal structure and fixed point property.
Glasgow Math. Journal 38 (1996), 29--37. (MR: 97d:46014).
9. Jiménez Melado, A.; Llorens-Fuster, E.;
The fixed point property in uniformly nonsquare Banach spaces.
Bolletino U.M.I. 10-A (1996), no. 7-8, 587--595. (MR: 97m: 47080).
10. García-Falset, J.; Jiménez Melado, A.; Llorens-Fuster, E.;
Isomorphically expansive mappings in l2.
Proceedings of A.M.S. 125 (1997), 2633--2636. (MR: 97j: 47079).
11. J. García Falset, E. Llorens Fuster, B. Sims.
Fixed point theory for almost convex functions.
Nonlinear Analysis TMA., 32 (1998), 601-608. (MR: 99b: 47083).
12. E. Llorens Fuster, B. Sims.
The fixed point property in c0.
Canad. Math. Bull., 41 (1998), 413-422. (MR: 99i: 47097).
13. E. Llorens Fuster
Set valued alpha-almost convex mappings.
Journal of Math. Ann. and Appl., 233 (1999), 698-712. (MR: 2000b: 47124).
14. A. Jiménez Melado, E. Llorens Fuster
Opial modulus and stability of the fixed point property.
Nonlinear Analysis, 39 (2000), 341-349.(MR. 2001e: 47090).
15. J. García-Falset, E. Llorens-Fuster, Eva M. Mazcuñán-Navarro,
The fixed point property and normal structure for some B-convex Banach spaces.
Bull. Austral. Math. Soc. 63 (2001), 75--81. (MR.1.812.310).
16. E. Llorens Fuster
Renormings and minimal Lipschitz constants,
Nonlinear Anal. 47 (2001), 2719--2730. (MR.1 972 395).
17. E. Llorens Fuster
Semigroups of mappings with rigid Lipschitz constant,
Proc. Amer. Math. Soc., 130 (2002), 1407--1412. (MR. 2002k:47112 ) .
18. E. Llorens Fuster
Some moduli and constants related to Metric Fixed Point Theory,
in Handbook of Metric Fixed Point Theory, W.A. Kirk and B. Sims eds.
Kluwer, 2002. 133--175. (MR. 2003j:46019 ). (Zbl. 1021. 47030).
This is a list of some of the main moduli and constants of the Banach spaces which
are in some ways related to Metric Fixed Point Theory.
For a updated version (04-12-2006) click here .
19. J. García Falset, A. Jiménez Melado, E. Llorens Fuster.
Stability of the fixed point property for nonexpansive maps,
in Handbook of Metric Fixed Point Theory, W.A. Kirk and B. Sims eds.
Kluwer, 2002. 201--238. (MR. 2003j:46017).
20. García-Falset, J.; Llorens-Fuster, E.; Mazcuñán-Navarro, Eva M.
Banach spaces which are r-uniformly noncreasy.
Nonlinear Anal. 53 (2003), 957--975.
21. Jiménez-Melado, Antonio; Llorens-Fuster, E.
A renorming of l2, rare but with the fixed- point property.
International J. Math. Math. Sci. 2003 No. 65 (2003), 4115-- 4129. (Zbl pre02012668), (MR2276960).
22. Llorens-Fuster, E.
Some remarks about the Goebel-Kirk-Thele mapping.
Annales Univ. Mariae Curie-Sklodowska, LVIII, (2004), 99-- 116. (MR2199594).
23. J. García Falset, E. Llorens Fuster, B. Sims. Eds.
International Conference on Fixed Point Theory and Applications. Proceedings of the conference held in Valencia, July 13--19, 2003.
Yokohama Publishers, Yokohama, 2004. viii+292 pp. ISBN: 4-946552-13-8. (MR 2144144).
24. Jiménez-Melado, Antonio; Llorens-Fuster, E., Saejung, S.
The von Newman-Jordan constant, weak orthogonality and normal structure in Banach spaces.
Proc. Amer. Math. Soc., 134 (2006), no. 2, 355--364.(MR2176002).
25. García-Falset, J.; Llorens-Fuster, E.; Mazcuñán Navarro, E.
Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings.
Journal of Functional Analysis, 233 (2006) 494 – 514. (MR 2214585).
26. Llorens-Fuster, Enrique
The fixed point property for renormings of l2.
Seminar of Mathematical Analysis, 121--159, Univ. Sevilla Secr. Publ., Seville, 2006. (MR 2276960).
27. García-Falset, J.; Llorens-Fuster, E.; Prus, S.
Fixed point theory for mappings admitting centers.
Nonlinear Analysis, 66 (2007), 1257-1274. (MR 2294437).
28. Alonso, J.; Llorens- Fuster, E.
Geometric mean and triangles inscribed in a semicircle in Banach spaces.
Journal of Math. An. and Appl. 340 (2008), 1271-1283.
29. Jiménez Melado, A.; Llorens-Fuster, E.; Mazcuñán Navarro E.,
The Dunkl–Williams constant, convexity, smoothness and normal structure,
Journal of Math. An. and Appl. 342 (2008) 298–310.
30. Llorens- Fuster, E.
Zbaganu constant and normal structure. .
Fixed Point Theory, 9 (2008), 159-172.
31. Llorens- Fuster, E; Petrusel, A.; Yao, J.C.
Iterated function systems and well-posedness.
Chaos, Solitons & Fractals, 41 (2009), 1561--1568.
32. González, C.; Jiménez-Melado, A.; Llorens-Fuster, E.
A Mönch type fixed point theorem under the interior condition .
Journal of Mathematical Analysis and Applications 352 (2009) 816--821.
33. Domínguez Benavides, T.; García Falset, J.; Llorens-Fuster, E.; Lorenzo Ramírez, P.
Fixed point properties and proximinality in Banach spaces.
Nonlinear Anal. 71 (2009), 1562--1571.
34. García Falset, J.; Guran, L.; Llorens-Fuster, E.
Fixed points for multivalued contractions with respect to a w- distance.
Scientae Mathematicae Japonicae, 22 (2009), 611--619.
35. García Falset, J.; Llorens-Fuster, E.
Fixed Points for Pseudocontractive Mappings on Unbounded Domains.
Fixed Point Theory and Applications, Volume 2010 (2010), Article ID 769858, 17 pages.
36. E. Llorens Fuster, E. Mazcuñán Navarro, Simeon Reich
The Ptolemy and Zbaganu constants of normed spaces.
Nonlinear Analysis, 72 (2010), 3984--3993.
37. J. García Falset; E. Llorens Fuster; Tomonari Suzuki
Fixed point theory for a class of generalized nonexpansive mappings.
Journal of Mathematical Analysis and Applications, Appl. 375 (2011) 185–195.
38. E. Llorens Fuster; Elena Moreno Gálvez
The Fixed point theory for some generalized nonexpansive mappings
Abstract and Applied Analysis, Appl. Volume 2011 (2011), Article ID 435686, 15 pages
39. C.A. Hernández Linares; M. Ángeles Japón Pineda; E. Llorens Fuster;
On the structure of the set of equivalent norms on ℓ1 with the fixed point property.
Journal of Mathematical Analysis and Applications, Appl. 387 (2012), 645–654.
Some lectures
Some remarks on the fixed point property for renormings of l2 .