In this talk I review some aspects of the idea that there is an infra-red conformal fixedpoint at the TeV scale. In particular, it is shown how gauge coupling unification can be achieved by TeV unification in a semi-simple gauge group.

this paper studies the existence of solutions for acoupled system of nonlinear fractional differential equations. newexistence and uniqueness results are established using banach fixedpoint theorem. other existence results are obtained using schaeferand krasnoselskii fixed point theorems. some illustrative examplesare also presented.

in the present paper, we give a new approach to caristi's fixed pointtheorem on non-archimedean fuzzy metric spaces. for this we define anordinary metric $d$ using the non-archimedean fuzzy metric $m$ on a nonemptyset $x$ and we establish some relationship between $(x,d)$ and $(x,m,ast )$%. hence, we prove our result by considering the original caristi's fixedpoint theorem.

We incorporate externalities into the stable matching theory of two-sided markets: We establish the existence of stable matchings provided that externalities are positive and agents’ choices satisfy substitutability, and we show that the standard insights of matching theory, such as the existence of side optimal stable matchings and the rural hospitals theorem, remain valid despite the presence...

Entanglement is a digraph complexity measure that origins in fixedpoint theory. Its purpose is to count the nested depth of cycles in digraphs. In this paper we prove that the class of undirected graphs of entanglement at most k, for arbitrary fixed k ∈ N, is closed under taking minors. Our proof relies on the game theoretic characterization of entanglement in terms of Robber and Cops games.

Abstract In this paper, we study the resonance problem of a class of singular quasilinear parabolic equations with respect to its higher near-eigenvalues. Under a generalized Landesman-Lazer condition, it is proved that the resonance problem admits at least one nontrivial solution in weighted Sobolev spaces. The proof is based upon applying the Galerkin-type technique, the Brouwer’s fixedpoint ...

The relative Lefschetz and Nielsen fixed-point theorems are generalized for compact absorbing contractions on ANR-spaces and nilmanifolds. The nontrivial Lefschetz number implies the existence of a fixedpoint in the closure of the complementary domain. The relative Nielsen numbers improve the lower estimate of the number of coincidences on the total space or indicate the location of fixed-point...

This paper presents two techniques for the design of digital filters with bit-constrained coefficients, the “bit-flipping” algorithm [1] and the Downhill Simplex Method modified to deliver fixedpoint filter coefficients [2]. Both techniques can be applied both to design filters from scratch and to optimise their floating-point equivalents. They are comparatively presented through an example of ...

Very recently, Moudafi 2011 introduced an algorithm with weak convergence for the split common fixed-point problem. In this paper, we will continue to consider the split common fixedpoint problem. We discuss the strong convergence of the viscosity approximation method for solving the split common fixed-point problem for the class of quasi-nonexpansive mappings in Hilbert spaces. Our results imp...

in this paper, we study the existence of coupled coincidence andcoupled common fixed points for single-valued and fuzzy mappingsunder a contractive condition in metric space. presented theoremsextend and improve the main results of abbas and$acute{c}$iri$acute{c}$ {itshape et al.} [m. abbas, l.$acute{c}$iri$acute{c}$, {itshape et al.}, coupled coincidenceand common fixed point theorems for hybr...