Nonlocal conditions for lower semicontinuous parabolic inclusions.
Boucherif, Abdelkader (2011)
Advances in Difference Equations [electronic only]
Andrzej Krzywicki, Tadeusz Nadzieja (2000)
Banach Center Publications
Some conditions for the existence and uniqueness of solutions of the nonlocal elliptic problem , are given.
Christopher S. Goodrich (2012)
Commentationes Mathematicae Universitatis Carolinae
In this paper we consider a coupled system of second-order boundary value problems with nonlocal, nonlinear boundary conditions, and we examine conditions under which such problems will have at least one positive solution. By imposing only an asymptotic growth condition on the nonlinear boundary functions, we are able to achieve generalizations over existing works and, in particular, we allow for the nonlocal terms to be able to be realized as Lebesgue-Stieltjes integrals possessing signed Borel...
Abdolrahman Razani, Valdimir Rakočević, Zahraa Goodarzi (2010)
Open Mathematics
The aim of this paper, is to introduce the convex structure (specially, Takahashi convex structure) on modular spaces. Moreover, we are interested in proving some common fixed point theorems for non-self mappings in modular space.
Josef Kolomý (1974)
Colloquium Mathematicae
Lau, Anthony To-Ming (2010)
Fixed Point Theory and Applications [electronic only]
Aamri, M., El Moutawakil, D. (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Chen, Y.Q., Cho, Y.J., Kim, J.K., Lee, B.S. (2006)
Fixed Point Theory and Applications [electronic only]
Svatopluk Fučík, Dien Hien Tran (1973)
Commentationes Mathematicae Universitatis Carolinae
Michal Fečkan (1996)
Annales Polonici Mathematici
The Nielsen fixed point theory is used to show several results for certain operator equations involving weakly inward mappings.
Berenguer, M.I., Muñoz, M.V.Fernández, Guillem, A.I.Garralda, Galán, M.Ruiz (2009)
Fixed Point Theory and Applications [electronic only]
Ch. G. Philos (2007)
Annales Polonici Mathematici
This article is concerned with a boundary value problem on the half-line for nonlinear two-dimensional delay differential systems. By the use of the Schauder-Tikhonov theorem, a result on the existence of solutions is obtained. Also, via the Banach contraction principle, another result concerning the existence and uniqueness of solutions is established. Moreover, these results are applied to the special case of ordinary differential systems and to a certain class of delay differential systems. Furthermore,...
Sebastiano Boscarino (2003)
Commentationes Mathematicae Universitatis Carolinae
We construct a class of discontinuous operators in infinite-dimensional separable Hilbert spaces, answering a natural question which arises in comparing a fixed point theorem of Altman and Shinbrot ([1], [4]) with its improvement obtained by Ricceri ([2], [3]).
Noor, Muhammad Aslam (1998)
Journal of Applied Mathematics and Stochastic Analysis
Kohl, W. (2000)
Zeitschrift für Analysis und ihre Anwendungen
Ljubomir B. Ćirić (1991)
Publications de l'Institut Mathématique
Mario Zuluaga Uribe (1986)
Commentationes Mathematicae Universitatis Carolinae
Ireneusz Kubiaczyk (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Let E be a metrizable locally convex topological vector space x ∈ E, and let D be a closed convex subset of E such that x ∈ D. In this paper we prove that the weakly sequentially continuous mapping F: D ∪ D which satisfies V̅ = c̅o̅n̅v̅({x} ∪ F(V))⇒ V is relatively weakly compact, has a fixed point. Employing the above results we prove the existence theorem for the Cauchy problem x'(t) = f(t,x(t)), x(0) = x₀. As compared with the previous...
Fisher, Brian, Sessa, Salvatore (1986)
International Journal of Mathematics and Mathematical Sciences
Dang Ang, Le Hoa (1984)
Fundamenta Mathematicae