best approximation results provide an approximate solution to the fixed point equation $tx=x$, when the non-self mapping $t$ has no fixed point. in particular, a well-known best approximation theorem, due to fan cite{5}, asserts that if $k$ is a nonempty compact convex subset of a hausdorff locally convex topological vector space $e$ and $t:krightarrow e$ is a continuous mapping, then there exi...

Operator quantization of the WZNW theory for Lie algebra g with constrained affine Lie algebrâ h, h ⊂ g, is performed.The extended phase space and effective first class constraints are constructed which determine a class of g/h coset primary fields and currents. In a recent article [1] for generic g/h coset conformal field theory [2, 3] a class of Virasoro currents and primary fields was constr...

A bstract We propose an extension of the three-Higgs-doublet model (3HDM), where Standard Model (SM) particle content is enlarged by inclusion two inert SU 2 L scalar doublets, three and active electrically neutral gauge singlet scalars, charged vector like fermions Majorana neutrinos. These additional particles are introduced to generate SM fermion mass hierarchy from a sequential loop suppres...

The objective of this paper is to obtain new relation-theoretic coincidence and common fixed point results for some mappings F g via hybrid contractions auxiliary functions in extended rectangular b-metric spaces, which improve the existing give relevant results. Finally, nontrivial examples applications justify main