In the first part of this paper, we prove the existence of common fixed points for a commuting pair consisting of a single-valued and a multivalued mapping both satisfying the Suzuki condition in a uniformly convex Banach space. In this way, we generalize the result of Dhompongsa et al. 2006 . In the second part of this paper, we prove a fixed point theorem for upper semicontinuous mappings sat...

In this paper, we will introduce the rotation number for the one-dimensional asymmetric p-Laplacian with a pair of periodic potentials. Two applications of this notion will be given. One is a clear characterization of two unbounded sequences of Fučik curves of the periodic Fučik spectrum of the p-Laplacian with potentials. With the help of the Poincaré–Birkhoff fixed point theorem, the other ap...

New limits on the Higgs mass from LEP and new calculations on the radiative (penguin) decay of the b-quark into sγ restrict the parameter space of the Constrained Minimal Supersymmetric Standard Model (CMSSM). We find that for the low tan β scenario only one sign of the Higgs mixing parameter is allowed, while the high tan β scenario is practically excluded, if one requires all sparticles to be...

In the infrared fixed point (IFP) scenario of the minimal supersymmetric model (MSSM), the top-quark mass and other physical quantities of the low-energy theory are insensitive to the values of the parameters of the theory at some high energy scale. In this framework we evaluate the light CP-even Higgs mass, m h 0 , taking into account some important effects that had not been previously conside...

Given an orientation-preserving homeomorphism of the plane, a rotation number can be associated with each locally attracting fixed point. Assuming that the homeomorphism is dissipative and the rotation number vanishes we prove the existence of a second fixed point. The main tools in the proof are Carathéodory prime ends and fixed point index. The result is applicable to some concrete problems i...

In this article we establish the existence of at least three positive solutions for 3n-th order three-point boundary value problem by using five functional fixed point theorem. We also establish the existence of at least 2m− 1 positive solutions of the problem for arbitrary positive integer m.

so that we are dealing with an asymptotically linear problem. The forcing term p is T -periodic, and we are interested in T -periodic solutions of (1). We assume that the linear part of the equation is nonresonant, that is a 6= 0 and if c = 0 then a 6= (2πm/T ) for all integer m. Our result shows that for generic forcing term p, when the parameter λ, which measures the strength of the forcing, ...

The infrared quasi fixed point solution for the top quark mass in the Minimal Supersymmetric Standard Model explains in a natural way large values of the top quark mass and appears as a prediction in many interesting theoretical schemes. Moreover, as has been recently pointed out, for moderate values of tan β, in order to achieve gauge and bottom-tau Yukawa coupling unification, the top quark m...

Several interesting numbers such as the homotopy invariant Lefschets number L(f), Nielsen N(f), fixed point index i(X, f,U) and Reidemeister R(f) play important roles in study of theorems. The gives more geometric information about points than other numbers. However is hard to compute general. To number, Jiang related it R(f ) induced homomorphism f : 1(X) when X a lens space or an H-space (Jia...