Results 21 to 30 of about 43,330 (108)
On Some Generalized Ky Fan Minimax Inequalities
Fixed Point Theory and Applications, 2009 Some generalized Ky Fan minimax inequalities for vector-valued mappings are established by applying the classical Browder fixed point theorem and the Kakutani-Fan-Glicksberg fixed point theorem.
Xianqiang Luo
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Existence results for systems of first-order nabla dynamic inclusions on time scales
Arab Journal of Mathematical Sciences, 2019 In this article, we study the existence of solutions to systems of first-order ∇-dynamic inclusions on time scales with terminal or periodic boundary conditions. We employ the method of solution-tube and Kakutani fixed point theorem.
Bouharket Bendouma, Ahmed Hammoudi
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Existence theory for nonlocal boundary value problems involving mixed fractional derivatives
Nonlinear Analysis, 2019 In this paper, we develop the existence theory for a new kind of nonlocal three-point boundary value problems for differential equations and inclusions involving both left Caputo and right Riemann–Liouville fractional derivatives.
Bashir Ahmad, K. Ntouyas, Ahmed Alsaedi
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Mild Solutions of Second-Order Semilinear Impulsive Differential Inclusions in Banach Spaces
Mathematics, 2022 In this paper, the existence of a mild solution to the Cauchy problem for impulsive semilinear second-order differential inclusion in a Banach space is investigated in the case when the nonlinear term also depends on the first derivative. This purpose is
Martina Pavlačková, Valentina Taddei
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Advances in Difference Equations, 2020 In this work we investigate existence and uniqueness of solutions for new coupled systems of mixed order fractional differential equations and inclusions supplemented with coupled nonlocal fractional boundary conditions.
Sotiris K. Ntouyas, Hamed H. Al-Sulami
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Fixed point theorems in locally convex spaces—the Schauder mapping method
Fixed Point Theory and Applications, 2006 In the appendix to the book by F. F. Bonsal, Lectures on Some Fixed Point Theorems of Functional Analysis (Tata Institute, Bombay, 1962) a proof by Singbal of the Schauder-Tychonoff fixed point theorem, based on a locally convex variant of Schauder ...
S. Cobzaş
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Equivalence results between Nash equilibrium theorem and some fixed point theorems
Fixed Point Theory and Applications, 2016 We show that the Kakutani and Brouwer fixed point theorems can be obtained by directly using the Nash equilibrium theorem. The corresponding set-valued problems, such as the Kakutani fixed point theorem, Walras equilibrium theorem (set-valued excess ...
Jian Yu, Nengfa Wang, Zhe Yang
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Controllability results for weakly blowing up reaction-diffusion system
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, we consider the controllability of a general reaction-diffusion system with homogeneous Dirichlet boundary conditions. We prove the exact controllability to the trajectories and the approximate controllability of the system which contains ...
Qiang Tao, Hang Gao, Ying Yang
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Null controllability of a nonlinear heat equation
Abstract and Applied Analysis, 2002 We study the internal exact null controllability of a nonlinear heat equation with homogeneous Dirichlet boundary condition. The method used combines the Kakutani fixed-point theorem and the Carleman estimates for the backward adjoint linearized system ...
G. Aniculăesei, S. Aniţa
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A combinatorial lemma and its applications
Journal of Inequalities and Applications, 2016 In this paper, we present a generalization of a combinatorial lemma we stated and proved in a recent work. Then we apply the generalized lemma to prove: (1) a theorem on the existence of a zero for an excess demand mapping, (2) the existence of a ...
Piotr Maćkowiak
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