Recently‎, some researchers have established some results on existence of endpoints for multivalued mappings. In particular, Mohammadi and Rezapour's [Endpoints of Suzuki type quasi-contractive multifunctions, U.P.B. Sci. Bull., Series A, 2015] used the technique of $alpha-psi$-contractive mappings, due to Samet et al. (2012), to give some results about endpoints of Suzuki type quasi-contractiv...

The spatial discretization of the single-cone Dirac Hamiltonian on surface a topological insulator or superconductor needs special "staggered" grid, to avoid appearance spurious second cone in Brillouin zone. We adapt Stacey from lattice gauge theory produce generalized eigenvalue problem, form ${\mathcal H}\psi=E {\mathcal P}\psi$, with Hermitian tight-binding operators H}$, P}$, locally conse...

In this paper, we prove some existence and uniqueness results for a class of boundary valued problems implicit nonlinear
 $k$-generalized $\psi$-Hilfer fractional differential equations involving both retarded advanced arguments. Further, examples are given to illustrate the viability our results.

In the paper, three basic properties of the logarithmically N alternating monotonic functions are established and the monotonicity results of some functions involving the gamma and q-gamma functions, which are obtained in [W. E. Clark and M. E. H. Ismail, Inequalities involving gamma and psi functions, Anal. Appl. (Singap.) 1 (2003), no. 1, 129–140.], are generalized to the logarithmically N -a...

Complete monotonicity properties of some functions involving the psi function are studied and some known results are extended and generalized. Moreover, a necessary and sufficient conditions for some functions to be completely monotonic are presented and proved. Mathematics subject classification (2010): 33B15, 26D15.

We study sharp growth conditions for the boundedness of Hardy-Littlewood maximal function in generalized Orlicz spaces. assume that \(\phi(x,t)\) satisfies standard continuity properties (A0), (A1) and (A2). show if is bounded from space to itself then \(\phi(x,t)/t^p\) almost increasing large \(t\) some \(p>1\). Moreover we \(L^\phi(\mathbb{R}^n)\) only \(\phi\) weakly equivalent a \(\psi\)...

We prove an explicit error term for the ψ ( x , χ<!-- χ stretchy="false">) <mml:ann...