In this paper, the concept of ∂-quasiconvexity is introduced by using convexifactors. Mond-Weir-type and Schaible-type duals are associated with a multiobjective fractional programming problem, and various duality results are established under the assumptions of ∂-pseudoconvexity and ∂-quasiconvexity.

In this paper, we investigate the recently proposed relativistic theory for MOND using phase space analysis. Unlike its precedent theory, namely TeVeS, is claimed to agree with observed Cosmic Microwave Background and matter power spectra. We convert background cosmological equations of a set first-order autonomous equations. Then explore corresponding critical points their physical meaning. Th...

Modified Newtonian Dynamics (MOND) at low acceleration has been astonishingly powerful explaining the flat rotation curve of galaxies and relation between baryonic content their observed circular velocity, known as Baryonic Tully-Fisher Relationship (BTFR). It is that MOND fails velocity dispersion ultra-faint dwarf (UFDs) with justification UFDs are more prone to tidal disruption in compared c...

The Universe on large scales is well described by the ΛCDM cosmological model. There however remain some heavy clouds on our global understanding, especially on galaxy scales, which we review here. While some of these clouds might perhaps disappear through small compensatory adjustments of the model, such as changing the mass of the dark matter particles or accounting better for baryonic physic...

in this paper, using clarke’s generalized directional derivative and di-invexity we introduce new concepts of nonsmooth k-α-di-invex and generalized type i univex functions over cones for a nonsmooth vector optimization problem with cone constraints. we obtain some sufficient optimality conditions and mond-weir type duality results under the foresaid generalized invexity and type i cone-univexi...

Abstract. We present mass distributions obtained from near-infrared (NIR) surface brightness decompositions and rotation curve fitting of a sample of early-type spiral galaxies. Bulge and disk mass-to-light (M/L) ratios, dark halo parameters, and the modified Newtonian dynamics (MOND) acceleration parameter are derived. We find that the mean disk NIR M/L is higher than that of the bulge, and co...