We carry out a comprehensive analysis of the nonminimal supersymmetric standard model (NMSSM) with baryon and lepton number violation. We catalogue the baryon and lepton number violating dimension four and five operators of the model. We then study the renormalization group evolution and infrared stable fixed points of the Yukawa couplings and the soft supersymmetry breaking trilinear couplings...

In this paper, we establish a common fixed point theorem in fuzzy 2-metric spaces using reciprocal continuity concept. In addition, our result proves that in the context of reciprocal continuity, the notion of compatibility and semi-compatibility of maps becomes equivalent.

this paper presents some results concerning the existence of solutions for a functional integral equation of volterra type in two variables, via measure of noncompactness. two examples are included to illustrate the main result.

in this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regularasymptotically nonexpansive mappings in a real reflexive banach space with a uniformly g$hat{a}$teaux differentiable norm. our result is applicable in $l_{p}(ell_{p})$ spaces,$1 < p

begin{abstract} in this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of hilbert spaces. we prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. the results present...

For a bounded closed convex set K, in this note, we study the FPP for α-Hölder nonexpansive maps, i.e. mappings T:K→K which ‖Tx−Ty‖≤‖x−y‖α all x,y∈K, α∈(0,1). First, note that only finite-dimensional spaces have Hölder-FPP. Moreover, unit ball BX of any infinite-dimensional space fails Hölder maps with d(T,BX)>0, where d(T,K) denotes minimal displacement T. We further show reflexivity and weak ...