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## Espínola García, Rafael

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 Author ID: espinola-garcia.rafael Published as: Espinola-Garcia, Rafael; Espínola, R.; Espínola, Rafa; Espínola, Rafael; Espınola, Rafa Homepage: https://investigacion.us.es/sisius/sis_showpub.php?idpers=929 External Links: MGP · ORCID
 Documents Indexed: 44 Publications since 1996, including 1 Book Reviewing Activity: 8 Reviews
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#### Co-Authors

 3 single-authored 8 López Acedo, Genaro 7 Nicolae, Adriana 5 Kirk, William Arthur 4 Fernández-León, Aurora 4 Piątek, Bożena 3 Lorenzo, Pepa 3 Petruşel, Adrian 3 Wiśnicki, Andrzej 2 Bugajewski, Dariusz 2 Wośko, Jacek 1 Alber, Yakov I. 1 Benyamini, Yoav 1 Gabeleh, Moosa 1 Hosseini, Meraj 1 Hussain, Nawab 1 Khamsi, Mohamed Amine 1 Kim, Eun Suk 1 Kosuru, G. Sankara Raju 1 Lacruz, Miguel 1 Li, Chong 1 Madiedo, Óscar 1 Nourouzi, Kourosh 1 Prus, Stan 1 Veeramani, P.
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#### Serials

 5 Journal of Mathematical Analysis and Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Fixed Point Theory and Applications 3 Journal of Approximation Theory 2 Houston Journal of Mathematics 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Canadian Journal of Mathematics 1 Journal of Optimization Theory and Applications 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Topology and its Applications 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Topological Methods in Nonlinear Analysis 1 Journal of Convex Analysis 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Revista Matemática Complutense 1 Acta Mathematica Sinica. English Series 1 Nonlinear Analysis Forum 1 Journal of Nonlinear and Convex Analysis 1 Nonlinear Functional Analysis and Applications 1 Arabian Journal of Mathematics
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#### Fields

 27 Operator theory (47-XX) 27 General topology (54-XX) 9 Functional analysis (46-XX) 6 Approximations and expansions (41-XX) 5 Differential geometry (53-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 420 times in 308 Documents Cited by Year
CAT$$(k)$$-spaces, weak convergence and fixed points. Zbl 1182.47043
Espínola, Rafa; Fernández-León, Aurora
2009
Fixed point theorems in $$\mathbb R$$-trees with applications to graph theory. Zbl 1095.54012
Espínola, R.; Kirk, W. A.
2006
Introduction to hyperconvex spaces. Zbl 1029.47002
Espínola, R.; Khamsi, M. A.
2001
A new approach to relatively nonexpansive mappings. Zbl 1141.47035
Espínola, Rafa
2008
On the structure of minimal sets of relatively nonexpansive mappings. Zbl 1285.47062
Espínola, Rafa; Gabeleh, Moosa
2013
Pythagorean property and best-proximity point theorems. Zbl 1317.54017
Espínola, Rafael; Kosuru, G. Sankara Raju; Veeramani, P.
2015
Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity. Zbl 1188.54015
Espínola, Rafa; Fernández-León, Aurora; Piątek, Bożena
2010
Common fixed points for multimaps in metric spaces. Zbl 1188.54016
Espínola, Rafa; Hussain, Nawab
2010
Fixed points, selections and common fixed points for nonexpansive-type mappings. Zbl 1232.47045
Espínola, Rafa; Lorenzo, Pepa; Nicolae, Adriana
2011
On best proximity points in metric and Banach spaces. Zbl 1226.47058
Espínola, Rafa; Fernández-León, Aurora
2011
Strongly convergent approximations to fixed points of total asymptotically nonexpansive mappings. Zbl 1189.47063
Alber, Yakov; Espínola, Rafa; Lorenzo, Pepa
2008
Nonexpansive retractions in hyperconvex spaces. Zbl 0971.47036
Espínola, R.; Kirk, W. A.; López, G.
2000
Existence and data dependence of fixed points for multivalued operators on gauge spaces. Zbl 1070.47046
2005
Geodesic Ptolemy spaces and fixed points. Zbl 1218.54039
2011
Darbo-Sadovski’s theorem in hyperconvex metric spaces. Zbl 0883.47064
Espinola-Garcia, Rafael
1996
On stationary points of nonexpansive set-valued mappings. Zbl 1338.54116
Espínola, Rafa; Hosseini, Meraj; Nourouzi, Kourosh
2015
The fixed point property and unbounded sets in CAT(0) spaces. Zbl 1306.47063
Espínola, Rafa; Piątek, Bozėna
2013
Metric fixed point theory on hyperconvex spaces: recent progress. Zbl 1273.54052
Espínola, Rafa; Lorenzo, Pepa
2012
On selections of the metric projection and best proximity pairs in hyperconvex spaces. Zbl 1145.47036
Espínola, Rafa
2005
Fixed points and approximate fixed points in product spaces. Zbl 0984.54045
Espínola, R.; Kirk, W. A.
2001
Mutually nearest and farthest points of sets and the drop theorem in geodesic spaces. Zbl 1238.41017
2012
Continuous selections of Lipschitz extensions in metric spaces. Zbl 1336.54028
2015
Diversities, hyperconvexity and fixed points. Zbl 1285.54021
Espínola, Rafa; Piątek, Bożena
2014
Nearest and farthest points in spaces of curvature bounded below. Zbl 1193.53168
Espínola, Rafa; Li, Chong; López, Genaro
2010
Set-valued contractions and fixed points. Zbl 1025.47032
Espínola, R.; Kirk, W. A.
2003
Fixed point properties of mappings satisfying local contractive conditions. Zbl 0996.47059
Espínola, R.; Kim, E. S.; Kirk, W. A.
2001
The Knaster-Tarski theorem versus monotone nonexpansive mappings. Zbl 1452.54016
Espínola, Rafael; Wiśnicki, Andrzej
2018
Borsuk-Dugundji type extension theorems with Busemann convex target spaces. Zbl 1391.53050
2018
Fixed point theory in hyperconvex metric spaces. Zbl 1318.54027
Espínola, Rafael; Fernández-León, Aurora
2014
Uniform convexity of geodesic Ptolemy spaces. Zbl 1277.52007
2013
Measure of nonhyperconvexity and fixed-point theorems. Zbl 1057.47059
Bugajewski, Dariusz; Espínola, Rafael
2003
Extension of compact mappings and $$\aleph_0$$-hyperconvexity. Zbl 1006.54022
Espínola, Rafael; López, Genaro
2002
Proximal minimization in $$\mathrm{CAT}(\kappa)$$ spaces. Zbl 1358.90096
2016
Crossed Cartesian product of multivalued operators. Zbl 1142.47032
Espínola, Rafael; López, Genaro; Petruşel, Adrian
2007
Nonexpansive selections of metric projections in spaces of continuous functions. Zbl 1083.41019
Benyamini, Yoav; Espínola, Rafael; López, Genaro
2005
Remarks on some fixed point theorems for hyperconvex metric spaces and absolute retracts. Zbl 0974.47047
Bugajeswski, Dariusz; Espínola, Rafael
2000
A geometrical characterization of the $$C(K)$$ and $$C_0(K)$$ spaces. Zbl 0986.46016
Espínola, Rafael; Wiśnicki, Andrzej; Wośko, Jacek
2000
Ultimately compact operators in hyperconvex metric spaces. Zbl 1002.47010
Espínola, Rafael; López, Genaro
1999
The Knaster-Tarski theorem versus monotone nonexpansive mappings. Zbl 1452.54016
Espínola, Rafael; Wiśnicki, Andrzej
2018
Borsuk-Dugundji type extension theorems with Busemann convex target spaces. Zbl 1391.53050
2018
Proximal minimization in $$\mathrm{CAT}(\kappa)$$ spaces. Zbl 1358.90096
2016
Pythagorean property and best-proximity point theorems. Zbl 1317.54017
Espínola, Rafael; Kosuru, G. Sankara Raju; Veeramani, P.
2015
On stationary points of nonexpansive set-valued mappings. Zbl 1338.54116
Espínola, Rafa; Hosseini, Meraj; Nourouzi, Kourosh
2015
Continuous selections of Lipschitz extensions in metric spaces. Zbl 1336.54028
2015
Diversities, hyperconvexity and fixed points. Zbl 1285.54021
Espínola, Rafa; Piątek, Bożena
2014
Fixed point theory in hyperconvex metric spaces. Zbl 1318.54027
Espínola, Rafael; Fernández-León, Aurora
2014
On the structure of minimal sets of relatively nonexpansive mappings. Zbl 1285.47062
Espínola, Rafa; Gabeleh, Moosa
2013
The fixed point property and unbounded sets in CAT(0) spaces. Zbl 1306.47063
Espínola, Rafa; Piątek, Bozėna
2013
Uniform convexity of geodesic Ptolemy spaces. Zbl 1277.52007
2013
Metric fixed point theory on hyperconvex spaces: recent progress. Zbl 1273.54052
Espínola, Rafa; Lorenzo, Pepa
2012
Mutually nearest and farthest points of sets and the drop theorem in geodesic spaces. Zbl 1238.41017
2012
Fixed points, selections and common fixed points for nonexpansive-type mappings. Zbl 1232.47045
Espínola, Rafa; Lorenzo, Pepa; Nicolae, Adriana
2011
On best proximity points in metric and Banach spaces. Zbl 1226.47058
Espínola, Rafa; Fernández-León, Aurora
2011
Geodesic Ptolemy spaces and fixed points. Zbl 1218.54039
2011
Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity. Zbl 1188.54015
Espínola, Rafa; Fernández-León, Aurora; Piątek, Bożena
2010
Common fixed points for multimaps in metric spaces. Zbl 1188.54016
Espínola, Rafa; Hussain, Nawab
2010
Nearest and farthest points in spaces of curvature bounded below. Zbl 1193.53168
Espínola, Rafa; Li, Chong; López, Genaro
2010
CAT$$(k)$$-spaces, weak convergence and fixed points. Zbl 1182.47043
Espínola, Rafa; Fernández-León, Aurora
2009
A new approach to relatively nonexpansive mappings. Zbl 1141.47035
Espínola, Rafa
2008
Strongly convergent approximations to fixed points of total asymptotically nonexpansive mappings. Zbl 1189.47063
Alber, Yakov; Espínola, Rafa; Lorenzo, Pepa
2008
Crossed Cartesian product of multivalued operators. Zbl 1142.47032
Espínola, Rafael; López, Genaro; Petruşel, Adrian
2007
Fixed point theorems in $$\mathbb R$$-trees with applications to graph theory. Zbl 1095.54012
Espínola, R.; Kirk, W. A.
2006
Existence and data dependence of fixed points for multivalued operators on gauge spaces. Zbl 1070.47046
2005
On selections of the metric projection and best proximity pairs in hyperconvex spaces. Zbl 1145.47036
Espínola, Rafa
2005
Nonexpansive selections of metric projections in spaces of continuous functions. Zbl 1083.41019
Benyamini, Yoav; Espínola, Rafael; López, Genaro
2005
Set-valued contractions and fixed points. Zbl 1025.47032
Espínola, R.; Kirk, W. A.
2003
Measure of nonhyperconvexity and fixed-point theorems. Zbl 1057.47059
Bugajewski, Dariusz; Espínola, Rafael
2003
Extension of compact mappings and $$\aleph_0$$-hyperconvexity. Zbl 1006.54022
Espínola, Rafael; López, Genaro
2002
Introduction to hyperconvex spaces. Zbl 1029.47002
Espínola, R.; Khamsi, M. A.
2001
Fixed points and approximate fixed points in product spaces. Zbl 0984.54045
Espínola, R.; Kirk, W. A.
2001
Fixed point properties of mappings satisfying local contractive conditions. Zbl 0996.47059
Espínola, R.; Kim, E. S.; Kirk, W. A.
2001
Nonexpansive retractions in hyperconvex spaces. Zbl 0971.47036
Espínola, R.; Kirk, W. A.; López, G.
2000
Remarks on some fixed point theorems for hyperconvex metric spaces and absolute retracts. Zbl 0974.47047
Bugajeswski, Dariusz; Espínola, Rafael
2000
A geometrical characterization of the $$C(K)$$ and $$C_0(K)$$ spaces. Zbl 0986.46016
Espínola, Rafael; Wiśnicki, Andrzej; Wośko, Jacek
2000
Ultimately compact operators in hyperconvex metric spaces. Zbl 1002.47010
Espínola, Rafael; López, Genaro
1999
Darbo-Sadovski’s theorem in hyperconvex metric spaces. Zbl 0883.47064
Espinola-Garcia, Rafael
1996
all top 5