Ćirić's fixed point theorem in a cone metric space.
Samet, Bessem (2010)
The Journal of Nonlinear Sciences and its Applications
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Ćirić's fixed point theorem in a cone metric space.
The Kannan's fixed point theorem in a cone rectangular metric space.
Jleli, Mohamed, Samet, Bessem (2009)
The Journal of Nonlinear Sciences and its Applications
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Coupled fixed point theorems of integral type mappings in cone metric spaces
J. O. Olaleru, G. A. Okeke, H. Akewe (2012)
Kragujevac Journal of Mathematics
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Fixed points of -weak contractions on cone metric spaces.
Aage, C.T., Salunke, J.N. (2011)
Annals of Functional Analysis (AFA) [electronic only]
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Periodic solutions for nonlinear Volterra integrodifferential equations in Banach spaces
Dimitrios A. Kandilakis, Nikolaos S. Papageorgiou (1997)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we examine periodic integrodifferential equations in Banach spaces. When the cone is regular, we prove two existence theorems for the extremal solutions in the order interval determined by an upper and a lower solution. Both theorems use only the order structure of the problem and no compactness condition is assumed. In the last section we ask the cone to be only normal but we impose a compactness condition using the ball measure of noncompactness. We obtain the extremal...
Generalized cone metric spaces.
Beg, Ismat, Abbas, Mujahid, Nazir, Talat (2010)
The Journal of Nonlinear Sciences and its Applications
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Bounded linear regularity, strong CHIP, and CHIP are distinct properties.
Bauschke, Heinz H., Borwein, Jonathan M., Tseng, Paul (2000)
Journal of Convex Analysis
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Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces
Dušan Đukić, Ljiljana Paunović, Stojan Radenović (2011)
Kragujevac Journal of Mathematics
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Existence of a continuous solution of parametric nonlinear equation with constraints.
Chabi, El Hassan, Zouaki, Hamid (2000)
Journal of Convex Analysis
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Operator type expansion-compression fixed point theorem.
Anderson, Douglas R., Avery, Richard I., Henderson, Johnny, Liu, Xueyan (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Forward invariant sets, homogeneity and small-time local controllability
Mikhail Krastanov (1995)
Banach Center Publications
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The property of forward invariance of a subset of with respect to a differential inclusion is characterized by using the notion of a perpendicular to a set. The obtained results are applied for investigating the dependence of the small-time local controllability of a homogeneous control system on parameters.