Abstract The purpose of this paper is to present the notion MR-Kannan type contractions using generalized averaged operator. Several examples are provided illustrate concept presented herein. We provide a characterisation normed spaces with fixed point. investigate Ulam–Hyers stability and well-posedness result for mappings here.

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.

The execution of unilateral hand contractions before performance has been reported to produce behavioral aftereffects in various tasks. These effects have been regularly attributed to an induced shift in activation asymmetry to the contralateral hemisphere produced by the contractions. An alternative explanation proposes a generalized state of reduced bilateral cortical activity following unila...

In this paper, we will prove several new results related to the concept of multi-valued Feng–Liu contraction. An existence, approximation and localization fixed point theorem for a generalized nonself contraction contractions in vector-valued metric spaces are proved. Stability an application system operatorial inclusions also given.

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...