[PDF] Top 20 Generalized Ekeland’s variational principle with applications

... our variational principles with Caristi–Kirk type fixed point theorem for multi-valued maps, Takahashi’s minimization theorem, and some other related ...As applications of our results, we derive existence ... See full document

... spaces with a Q-function which generalizes the notions of τ -function 17 and a w-distance 8. They proved some equivalences of EEVP with a fixed point theorem of Caristi-Kirk type for multivalued maps 12, Takahashi’s ... See full document

... In this paper, let R −∞, ∞, let H be a real Hilbert space endowed with an inner product ·, · and norm · , respectively, let K be a nonempty closed convex subset of H. Let N : H × H → H, η : K × K → H, and let T, A : K → ... See full document

... a variational principle for eigenvalues of a quadratic ma- trix polynomial, which was generalized in various directions to more general operator functions; see, ...a variational ... See full document

... Let X be a given set and f : X × X → R be a given function. An equilibrium problem is finding x ∈ X such that f (x, y) ≥ , for all y ∈ X. We may abbreviate this problem with EP from now on. In this section, we intend to ... See full document

... problem principle in finite- as well as in infinite-dimensional Hilbert space settings, on the approximation-solvability of var- ious classes of variational inequalities and complementarity problems, ... See full document

... 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 ... See full document

... Brezis-Browder principle, we give generalized Caristi’s fixed point theorems for set-valued maps and de- rive some ...an Ekeland-type variational principle in more applied general ... See full document

... Motivated by the above theorems we propose some new oscillation results by employing the generalized variational principle and Riccati technique for Equation (1). Our results extend and generalize ... See full document

... J. S. Pang, Engineering and economic applications of complementarity problems, SIAM ...A Variational Inequality Approach, Kluwer Academic Publishers, Dordrecht-Boston-London, ...J. S. Pang, ... See full document

... the generalized law of Hubble (expansion and acceleration) is drawn in a universe to mass-space increasing (ordinary massive fields and dark massive fields), where the splitting of the IQuO happens in everybody ... See full document

... auxiliary principle technique to study the generalized set- valued strongly nonlinear mixed implicit quasi-variational-like inequalities problem ...auxiliary variational inequalities ... See full document

... Keywords: dislocated metric; dislocated strong quasi-metric; partial metric; fixed point; generalized contraction; cyclic mapping; variational principle.. 1 Introduction.[r] ... See full document

... An example was presented to establish that the class of ρ-invex functionals of order m is more general than the class of ρ-invex functionals. Sufficient optimality conditions were established for the variational ... See full document

... Auriliary principle and iterative algorithms for generalized set-valued strongly nonlinear mixed variational-like ...Auxiliary principle technique for generalized set-valued nonlinear ... See full document

... 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 ... See full document

... 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 ... See full document

... of generalized pseudodis- tances are introduced see Section 2, a partial quasiordering is defined and the general maximality principle is formulated and proved see Section ...As applications, in cone ... See full document

... Based on the recent work of random metric theory, namely the Ekeland variational principle on a complete random metric space, this paper studies the Daneš theorem in a complete random normed module. ... See full document

... strong Ekeland variational principle for τ ...more generalized concept than τ -distance, which is called u-distance, and proved a new minimization and a new fixed point theorem by using ... See full document