In this article, we generalize, improve, unify and enrich some results for Jaggi-W-contraction-type mappings in the framework of b-metric-like spaces. Our supplement numerous methods existing literature, created new approach to prove that a Picard sequence is Cauchy space. Among other things, Wardowski’s theorem, but now by using only property (W1). proofs article are much shorter than ones rec...

In this article, we present an extension of the controlled rectangular b-metric spaces, so-called metric-like where keep symmetry condition and only change [D(s,r)=0?s=r]to[D(s,r)=0?s=r], which means may have a non-zero self distance; also, D(s,s) is not necessarily less than D(s,r). This new type metric space generalization spaces partial spaces.

We show (a) that any entire graphic self-shrinking solution to the Lagrangian mean curvature flow in C with the Euclidean metric is flat; (b) that any space-like entire graphic self-shrinking solution to the Lagrangian mean curvature flow in C with the pseudo-Euclidean metric is flat if the Hessian of the potential is bounded below quadratically; and (c) the Hermitian counterpart of (b) for the...

Abstract This paper provides two wide classes of contractions, which are obtained by using notions $\alpha _{s^{p}} $ α s p -admissibility and the rich set C -class functions in setting a complete b -metric-like space under more g...

Object of study in the present paper are slant and Legendre null curves 3-dimensional Sasaki-like almost contact B-metric manifolds. For examined we express general Frenet frame for which original parameter is distinguished, as well corresponding curvatures, terms structure on manifold. We prove that curvatures a framed curve constants if only specific function considered manifolds constant. fi...