Correspondence: [email protected] School of Mathematical Sciences, Yancheng Teachers University, Yancheng, 224051, Jiangsu, PR China Abstract In this paper, we obtain some new fixed point theorems and existence theorems of solutions for the equation Ax = μx using properties of strictly convex (concave) function and theories of topological degree. Our results and methods are different f...

We discuss aspects of the low energy phenomenology of the MSSM, in the large tan β regime. We explore the regions of the parameter space where the h t and h b Yukawa couplings exhibit a fixed point structure, using previous analytic solutions for these couplings. Expressions for the parameters A t and A b and the renormalised soft mass terms are also derived, making it possible to estimate anal...

Some classical tools have been used in the literature to study the positive solutions for twopoint boundary value problems of a coupled system of differential equations. These classical tools include some fixed point theorems in cones for completely continuous operators and Leray-Schauder fixed point theorem; for examples, see 1–3 and literatures therein. Recently, Schauder’s fixed point theore...

Some common fixed point theorems for compatible mappings are shown As an application, the existence and uniqueness of common solutions for a class of functional equations arising in dynamic programmings are discussed.

Using a fixed point theorem of strict-set-contraction, we prove the existence of positive periodic solutions for a class of nonautonomous impulsive neutral functional differential system with time-varying delays on time scales.

In this note we investigate the stability of game theoretic and economic solution concepts under input perturbations. The existence of many of these solutions is proved using fixed point theorems. We note that fixed point theorems, in general, do not provide stable solutions, and we show how some commonly studied solution concepts are indeed not stable under perturbation of the inputs.

In this paper the authors study the existence and asymptotic stability in p-th moment of mild solutions to stochastic neutral partial differential equation with impulses. Their method for investigating the stability of solutions is based on the fixed point theorem.

Keywords: Positive solutions Third-order three-point BVPs Nonhomogeneous Fixed point theorem Existence and nonexistence a b s t r a c t In this work, by employing the Guo–Krasnosel'skii fixed point theorem and Schauder's fixed point theorem, we study the existence and nonexistence of positive solutions to the third-order three-point nonhomogeneous boundary value problem u (t) + a(t)f (u(t)) = 0...

in this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-laplacian fractional order differential equations. we use schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. we include some examples to show the applicability of our results.

The nonlocal boundary value problem, with p-Laplacian of the form Φp u t h t f t, u t 0, t ∈ t1, tm T, u t1 − ∑n j 1 θju ηj − ∑m−2 i 1 iu ξi 0, u tm 0, has been considered. Two existence criteria of at least one and three positive solutions are presented. The first one is based on the Four functionals fixed point theorem in the work of R. Avery et al. 2008 , and the second one is based on the F...