References
- A. G. Aksoy and M. A. Khamsi, A selection theorem in metric trees, Proc. Amer. Math. Soc., 134(2006), 2957-2966. https://doi.org/10.1090/S0002-9939-06-08555-8
- S. M. A. Aleomraninejad, Sh. Rezapour and N. Shahzad, Some fixed point results on a metric space with a graph, Topology Appl., 159(2012), 659-663. https://doi.org/10.1016/j.topol.2011.10.013
-
A. Amini-Harandi and A. P. Farajzadeh, Best approximation, coincidence and fixed point theorems for set-valued maps in
${\mathbb{R}}$ -trees, Nonlinear Anal., 71(2009), 1649-1653. https://doi.org/10.1016/j.na.2009.01.001 - I. Bartolini, P. Ciaccia and M. Patella, String matching with metric trees using an approximate distance, SPIR Lecture notes in Comput. Sci. 2476, Springer, Berlin, 1999.
- H. H. Bauschke and P. L. Combettes, Convex Analysis and Monotone Operator Theory in Hilbert Spaces, Springer, New York, NY, USA, 2011.
-
M. Bestvina,
${\mathbb{R}}$ -trees in topology, geometry, and group theory, in: Handbook of Geometric Topology, North-Holland, Amsterdam, 2002, pp. 55-91. -
S. Dhompongsa and B. Panyanak, On
${\Delta}$ -convergence theorems in CAT(0) spaces, Comp. Math. Appl., 56(10)(2008), 2572-2579. https://doi.org/10.1016/j.camwa.2008.05.036 - R. Espinola, W. A. Kirk, Fixed point theorems in R-trees with applications to graph theory, Topology and its Applications, 153(2006), 1046-1055. https://doi.org/10.1016/j.topol.2005.03.001
-
W. A. Kirk, Hyperconvexity of
${\mathbb{R}}$ -trees, Fundamenta Mathematicae, 156(1)(1998), 67-72. -
W. A. Kirk, Fixed point theorems in CAT(0) spaces and
${\mathbb{R}}$ -trees, Fixed Point Theory Appl., 2004(2004), 309-316. - W. A. Kirk, Some recent results in metric fixed point theory, J. Fixed Point Theory Appl., 2(2007), 195-207. https://doi.org/10.1007/s11784-007-0031-8
-
J. T. Markin, Fixed points, selections and best approximation for multivalued mappings in
${\mathbb{R}}$ -trees, Nonlinear Anal., 67(2007), 2712-2716. https://doi.org/10.1016/j.na.2006.09.036 - S. B. Nadler Jr., Multi-valued contraction mappings, Pacific J. Math., 30(1969), 475-488. https://doi.org/10.2140/pjm.1969.30.475
- M. O. Osilike and F. O. Isiogugu, Weak and strong convergence theorems for nonspreading-type mappings in Hilbert spaces, Nonlinear Anal., 74(2011), 1814-1822. https://doi.org/10.1016/j.na.2010.10.054
- T. Puttasontiphot, Mann and Ishikawa iteration schemes for multivalued mappings in CAT(0) spaces, Applied Mathematical Sciences, 4(61)(2010), 3005-3018.
-
K. Samanmit and B. Panyanak, On multivalued nonexpansive mappings in
${\mathbb{R}}$ -trees, Journal of Applied Mathematics, Volume 2012, Article ID 629149, 13 pages. - C. Semple and M. Steel, Phylogenetics, Oxford Lecture Ser. Math. Appl., vol. 24, Oxford Univ. Press, Oxford, 2003.
- N. Shahzad and H. Zegeye, On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces, Nonlinear Anal., 71(2009), 838-844. https://doi.org/10.1016/j.na.2008.10.112
- J. Tits, A Theorem of LieKolchin for Trees. Contributions to Algebra: A Collection of Papers Dedicated to Ellis Kolchin, Academic Press, New York, 1977.
- K. Wlodarczyk, D. Klim and R. Plebaniak, Existence and uniqueness of endpoints of closed set-valued asymptotic contractions in metric spaces, J. Math. Anal. Appl., 328(2007), 46-57. https://doi.org/10.1016/j.jmaa.2006.05.029