Ekeland's variational principle
A generalization of Ekeland’s variational principle by using the τ distance with its applications
... The purpose of this paper is to study equilibrium problem to get some existence results. In fact, we first recall the concept of τ -distance on a complete metric space and then by using it a new version of Ekeland’s ...
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Generalized Ekeland’s variational principle with applications
... Ekeland [1] was first to study EVP. EVP is a theorem that shows that for some optimiza- tion problems there exist nearly optimal solutions. In this paper, we study the concept of Γ -distances defined on a q-F-m ...
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Vectorial Form of Ekeland-Type Variational Principle in Locally Convex Spaces and Its Applications
... Recently, Qiu 18 obtained some versions of Ekeland’s variational principle in locally convex spaces, which only need to assume local completeness of some related sets. Motivated by this paper we obtain some ...
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Maximality Principle and General Results of Ekeland and Caristi Types without Lower Semicontinuity Assumptions in Cone Uniform Spaces with Generalized Pseudodistances
... contraction principle 1, fundamental in fixed point theory, has been extended in many different ...Ekeland’s variational principle 3 providing approximate solutions of nonconvex minimization problems ...
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APPROXIMATE OPTIMALITY CONDITIONS
... Abstract. We propose in this paper a systematic study which is a variational ap- proach of approximate optimality conditions in terms of Ekeland’s variational principle and some of its applications. ...
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Critical Point Theorems and Ekeland Type Variational Principle with Applications
... 19 L.-J. Lin, C.-S. Chuang, and S.-Y. Wang, “From quasivariational inclusion problems to Stampacchia vector quasiequilibrium problems, Stampacchia set-valued vector Ekeland’s variational ...
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Vectorial form of Ekeland-type variational principle
... Ekeland’s variational principle related to equilibrium ...tablished Ekeland-type variational principles in the setting of quasi-metric spaces with a ...an Ekeland-type vec- tor ...
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$(\varphi_1, \varphi_2)$-variational principle
... In an analytical approach we can often associate a geometrical approach to complete study of which or stimulates the analytical approach. From this perspective Browder [8] gave a geometrical result which bears at present ...
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Some fixed point theorems for contractive multi-valued mappings induced by generalized distance in metric spaces
... In 1996, Kada et al. [4] introduced the concept of w-distance on a metric space (X, d). By using such a w-distance concept, they improved some important theorems such as Caristi’s fixed point theorem, Ekeland’s ...
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Stochastic singular optimal control problem of switching systems with constraints
... Ekeland’s variational principle [] has been widely used in various areas of anal- ysis such as fixed point analysis, optimization, and optimal control ...Ekeland’s variational principle is ...
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Pseudo-metric space and fixed point theorem
... The above considerations show that Theorem . and Theorem . are equivalent. Since the Caristi theorem (Corollary .) is a particular case of our main result and the Ekeland variational principle ...
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Multiplicity results for nonlinear Neumann boundary value problems involving p-Laplace type operators
... This paper is organized as follows. In Section , by using Zhong’s Ekeland variational principle, we state some critical point theorems for continuously differentiable functions with the Cerami ...
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Existence of Weak Solutions for a Nonlocal Problem Involving the p(x) Laplace Operator
... [8] I. Ekeland, On the variational principle, J. Math. Anal. Appl. 47 (1974), 324–353. [9] X. L. Fan, J. S. Shen and D. Zhao, Sobolev embedding theorems for spaces W k,p( · ) (Ω), J. Math. ...
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A minimization theorem in quasi metric spaces and its applications
... Remark 2.8 . Theorem 2.7 is a generalization of Caristi’s fixed point theorem [1]. The following theorem is a generalization of Ekeland’s ε -variational principle [3]. Theorem 2.9 . Let (X,d) be left k ...
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Auxiliary principle for generalized nonlinear variational like inequalities
... u ∈ K and u is a solution of the generalized nonlinear variational-like inequality (2.2). Proof. It follows from the proof of Theorem 3.1 that there exists a mapping G : K → K satisfying G(u) = w, where w is the ...
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Magnetohydrodynamic (MHD) mixed convective flow and heat transfer over an inclined plate with radiation effect
... genuine variational principle developed by Gyarmati, in the field of thermodynamics of irreversible processes unifying the theoretical requirements of technical, environmental and biological sciences is ...
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ENERGETIC VARIATIONAL APPROACH IN COMPLEX FLUIDS: MAXIMUM DISSIPATION PRINCIPLE
... 1. Introduction. The energetic variational approaches of hydrodynamic sys- tems in complex fluids are the direct consequence of the second law of thermodynam- ics. The complex fluids in our interests are the ...
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FAST COMMUNICATION AN ENERGETIC VARIATIONAL APPROACH FOR ION TRANSPORT
... Energy Variational Approach to derive the coupled Poisson-Nernst-Planck-Navier-Stokes ...The variational derivations give the coupled force balance equations in a unique and deterministic ...
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Group Analysis and Variational Principle for Nonlinear (3+1) Schrodinger Equation
... The generators of the admitted variational Lie symmetry groups are derived and conservation laws for the conserved currents are obtained via Noether‘s theorem. Moreover, the consistency of a functional integral ...
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On the Crucial Role of the Variational Principle in Quantum Theories
... e . The second section discusses hierarchical relations between physical theories and the significance of the correspondence principle. The role of the variational principle in the structure of ...
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