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Amini-Harandi, A., Farajzadeh, A.P., O'Regan, D., Agarwal, R.P. (2008)
Fixed Point Theory and Applications [electronic only]
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Tulsi Dass Narang (1985)
Archivum Mathematicum
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Narang, T.D. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Al-Thagafi, M.A. (1995)
International Journal of Mathematics and Mathematical Sciences
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Bożena Piątek (2008)
Annales UMCS, Mathematica
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In this work we present results on fixed points, pairs of coincidence points and best approximation for ε-semicontinuous mappings in metric trees. It is a generalization of the similar properties of upper and almost lower semicontinuous mappings.
William Kirk, Bancha Panyanak (2009)
Annales UMCS, Mathematica
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An R-tree is a geodesic space for which there is a unique arc joining any two of its points, and this arc is a metric segment. If X is a closed convex subset of an R-tree Y, and if T: X → 2Y is a multivalued mapping, then a point z for which [...] is called a point of best approximation. It is shown here that if T is an ε-semicontinuous mapping whose values are nonempty closed convex subsets of Y, and if T has at least two distinct points of best approximation, then T must have a fixed...
Tiziana Cardinali (2002)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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If f is a continuous seminorm, we prove two f-best approximation theorems for functions Φ not necessarily continuous as a consequence of our version of Glebov's fixed point theorem. Moreover, we obtain another fixed point theorem that improves a recent result of [4]. In the last section, we study continuity-type properties of set valued parametric projections and our results improve recent theorems due to Mabizela [11].
Carbone, A. (1996)
International Journal of Mathematics and Mathematical Sciences
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M. Janc (1983)
Matematički Vesnik
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Kiyoshi Iseki (1975)
Rendiconti del Seminario Matematico della Università di Padova
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Liu, Zeqing (2004)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Fernando Cobos (1988)
Colloquium Mathematicae
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Talat Nazir, Sergei Silvestrov, Mujahid Abbas (2016)
Waves, Wavelets and Fractals
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The aim of this paper is to construct a fractal with the help of a finite family of F− contraction mappings, a class of mappings more general than contraction mappings, defined on a complete metric space. Consequently, we obtain a variety of results for iterated function systems satisfying a different set of contractive conditions. Some examples are presented to support the results proved herein. Our results unify, generalize and extend various results in the existing literature. ...