Fixed point theorems

Part 1 of ebook "Spectral theory and quantum mechanics: Mathematical foundations of quantum theories, symmetries and introduction to the algebraic formulation" provides readers with content including: introduction and mathematical backgrounds; normed and banach spaces, examples and applications; Hilbert spaces and bounded operators; families of compact operators on Hilbert spaces and fundamental properties; densely-defined unbounded operators on Hilbert spaces;...

410p lytamnguyet 04-08-2023 5 3   Download

In this work, we prove the existence of decay solution in mean square moment for a class of stochastic integro-differential equations with infinite delays driven by fractional Brownian motion. The existence of mild solutions is obtained by using the Banach fixed point theorem and some inequality technique.

7p viharry 15-12-2022 8 2   Download

In this paper, we introduce a new approximate projection algorithm for finding a common solution of multivalued variational inequality problems and fixed point problems in a real Hilbert space. The proposed algorithm combines the approximate projection method with the Halpern iteration technique. The strongly convergent theorem is established under mild conditions.

7p viharry 15-12-2022 15 2   Download

In this paper, we study the systems of generalized multivalued strong vector quasi-equilibrium problem (in short (SQVEP)) real locally convex Hausdorff topological vector spaces. This problem includes as special cases the generalized strong vector quasi-equilibrium problems, quasi-equilibrium problems, equilibrium problems and variational inequality problems.

4p vilexus 30-09-2022 4 2   Download

In this paper, we establish existence results of fixed point for mixed monotone operators in a real Hausdorff locally convex topological vector space without normality of cone. Our result is an extension of Z. Zhang- K. Wang.

7p viirenerosenfeld 02-06-2022 12 1   Download

In this article, a class of Hindmarsh-Rose model is studied. First, all necessary conditions for the parameters of system are found in order to have one stable fixed point which presents the resting state for this famous model. After that, using the Hopf’s theorem proofs analytically the existence of a Hopf bifurcation, which is a critical point where a system’s stability switches and a periodic solution arises.

12p cothumenhmong11 05-05-2021 26 1   Download

In this paper, we first introduce a new class of bilevel weak vector variational inequality problems in locally convex Hausdorff topological vector spaces. Then, using the Kakutani-Fan-Glicksberg fixed-point theorem, we establish some existence conditions of the solution for this problem.

11p cothumenhmong11 05-05-2021 17 2   Download

In this paper we have investigated a common fixed point for a pair and a sequence of self mappings over a closed subset of Hilbert space satisfying certain contraction inequalities involving rational square expressions as well as some positive powers of the terms. Finally these results are generalized for taking positive integers powers of the self mappings over the spaces which are generalizations of well-known results...

10p nguaconbaynhay11 07-04-2021 13 2   Download

It is the objective of this paper to prove some xed point theorems for multivalued mappings. Among other things, we extend Theorem 1.3 to nonself-mappings. Also a simple proof of Theorem 1.3 is presented. Moreover, we give an armative answer to a question of Deimling. A negative answer to a question of Downing and Kirk is included as well.

14p larachdumlanat127 20-12-2020 7 2   Download

In this paper, we investigate the existence and uniqueness of fuzzy solution for a class of general hyperbolic equations with state-dependent delays. We will prove the well-posedness of problem doesn’t depend on the domain and boundary data as well as initial data. Our method is based on Banach fixed point theorem in completely new weighted metric space.

16p tamynhan9 02-12-2020 19 2   Download

In this paper, we study the existence and uniqueness of fuzzy solutions for general hyperbolic partial differential equations with local conditions making use of the Banach fixed point theorem. Some examples are presented to illustrate our results.

12p tamynhan8 04-11-2020 22 2   Download

In this paper, by combining the shrinking projection method with a modified inertial Siteration process, we introduce a new inertial hybrid iteration for two asymptotically Gnonexpansive mappings and a new inertial hybrid iteration for two G-nonexpansive mappings in Hilbert spaces with graphs. We establish a sufficient condition for the closedness and convexity of the set of fixed points of asymptotically G-nonexpansive mappings in Hilbert spaces with graphs.

13p caygaocaolon6 22-07-2020 13 2   Download

In this work, we consider a model formulated by a dynamical system and an elliptic variational inequality. We prove the solvability of initial value and periodic problems. Finally, an illustrative example is given to show the applicability of our results.

14p nguathienthan6 06-07-2020 9 0   Download

This article investigates existence, uniqueness and stability solutions of new Volterra- Friedholm of integro-differential equations by using both method Picard approximation and Banach fixed point theorem which was introduced by Rama. Theorems on existence and uniqueness of a solution are established under some necessary and sufficient conditions on compact spaces. Also expand the some results gained by Butris.

14p cleopatrahuynh 01-06-2020 25 0   Download

In this paper, we establish some existence theorems by using Kakutani-FanGlicksberg fixed-point theorem for generalized quasiequilibrium problems in real locally convex Hausdorff topological vector spaces. Moreover, we also discuss closeness of the solution sets of generalized quasiequilibrium problems. The results presented in the paper improve and extend the main results of Long et al in [3], Plubtieng - Sitthithakerngkietet in [5] and Yang-Pu in [6].

7p nguaconbaynhay 20-10-2019 11 1   Download

Earlier such results were obtained for Frobenius groups of automorphisms; new theorems for Frobenius-like groups are based on new representation-theoretic results. Apart from a brief survey, the paper contains the new theorem on almost nilpotency of a finite group admitting a Frobenius-like group of automorphisms with fixed-point-free almost extraspecial kernel.

12p danhdanh27 07-01-2019 18 2   Download

In this paper, we study a class of nonlinear switched systems of fractional order with p-Laplacian operator. By applying a fixed point theorem for a concave operator on a cone, we obtain the existence and uniqueness of a positive solution for an integral boundary value problem with switched nonlinearity under some suitable assumptions.

8p danhdanh27 07-01-2019 35 3   Download

In this paper, we will prove some fixed point theorems for the sum and the product of nonlinear weakly sequentially continuous operators acting on a WC–Banach algebra. Our results improve and correct some recent results given by Banas and Taoudi, and extend several earlier works using the condition (P).

9p danhdanh27 07-01-2019 25 1   Download

In this work, inspired by the recent technique of Jleli and Samet, we give a new generalization of the wellknown Mizoguchi–Takahashi fixed point theorem, which is the closest answer to Reich’s conjecture about the existence of fixed points of multivalued mappings on complete metric spaces.

10p danhdanh27 07-01-2019 17 1   Download

This paper is concerned with a boundary value problem of impulsive differential systems on the whole line with one-dimensional p-Laplacians. By constructing a weighted Banach space and defining a nonlinear operator, together with Schauder’s fixed point theorem, sufficient conditions to guarantee the existence of at least one solution are established (Theorems 3.1–3.3).

22p danhdanh27 07-01-2019 27 1   Download