On the existence of solution of the equation and a generalized coincidence degree theory. II.
Enayet U, Tarafdar (1981)
Commentationes Mathematicae Universitatis Carolinae
Enayet U, Tarafdar (1980)
Commentationes Mathematicae Universitatis Carolinae
Cernea, Aurelian (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Brzychczy, Stanisław (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
Purnaras, I.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Enayet U, Tarafdar, Harold Bevan Thompson (1993)
Commentationes Mathematicae Universitatis Carolinae
We have given several proofs on the existence of the price equilibrium --- via variational inequality --- via degree theory and via Brouwer's theorems.
Akinbo, Gbenga, Owojori, Olusegun (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Tiziana Cardinali (2014)
Open Mathematics
In this paper we prove some approximate fixed point theorems which extend, in a broad sense, analogous results obtained by Brânzei, Morgan, Scalzo and Tijs in 2003. By assuming also the weak demiclosedness property we state two fixed point theorems. Moreover, we study the existence of ɛ-Nash equilibria.
Plubtieng, Somyot, Sitthithakerngkiet, Kanokwan (2011)
Fixed Point Theory and Applications [electronic only]
Alefeld, Götz, Frommer, Andreas, Heindl, Gerhard, Mayer, Jan (2004)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
S. Wereński (1984)
Studia Mathematica
Stanisław Prus, Andrzej Wiśnicki (2008)
Studia Mathematica
It is shown that if a Banach space X has the weak Banach-Saks property and the weak fixed point property for nonexpansive mappings and Y has the asymptotic (P) property (which is weaker than the condition WCS(Y) > 1), then X ⊕ Y endowed with a strictly monotone norm enjoys the weak fixed point property. The same conclusion is valid if X admits a 1-unconditional basis.
Robert Sine, Michael Lin (1990)
Mathematische Zeitschrift
Duru, Hülya (2001)
International Journal of Mathematics and Mathematical Sciences
Andrzej Wiśnicki (2011)
Studia Mathematica
We show that if a Banach space X has the weak fixed point property for nonexpansive mappings and Y has the generalized Gossez-Lami Dozo property or is uniformly convex in every direction, then the direct sum X ⊕ Y with a strictly monotone norm has the weak fixed point property. The result is new even if Y is finite-dimensional.
Alimohammadi, Davood, Moradi, Sirous (2010)
Fixed Point Theory and Applications [electronic only]
Nilsrakoo, Weerayuth, Saejung, Satit (2010)
Fixed Point Theory and Applications [electronic only]
Hoàng Tụy (1975)
Colloquium Mathematicae
J. S. Jung, S. S. Chang, B. S. Lee, Y. J. Cho, S. M. Kang (2001)
Mathware and Soft Computing
In this paper, we establish a new version of Siegel's fixed point theorem in generating spaces of quasi-metric family. As consequences, we obtain general versions of the Downing-Kirk's fixed point and Caristi's fixed point theorem in the same spaces. Some applications of these results to fuzzy metric spaces and probabilistic metric spaces are presented.
Bogdan Przeradzki (1984)
Fundamenta Mathematicae