In this paper, we prove some unique fixed point theorems for a fuzzy mapping T satisfying certain rational contraction condition in a partially ordered metric space. Our results generalize some existing result.

In this paper, we introduce the notion of an ordered rational proximal contraction in partially ordered b-quasi metric spaces. We shall then prove some best proximity point theorems in partially ordered b-quasi metric spaces.

In this paper, we prove the existence and uniqueness of fixed points for cyclic (α,β)-admissible type F-contraction and F−weak contraction under the setting of modular spaces, where the modular is convex and satisfying the ∆2-condition. Later, we prove some periodic point results for self-mappings on a modular space. We also give some examples to s...

Given a simplicial pair (X, A), complex Y, and map $$f:A \rightarrow Y$$ , does f have an extension to X? We show that for fixed this question is algorithmically decidable all X, A, if Y has the rational homotopy type of H-space. As corollary, many questions related bundle structures over finite are likely decidable. Conversely, other at least as hard certain special cases Hilbert’s tenth probl...

We study the exceptional loci of birational (bimeromorphic) contractions a hyperkähler manifold M. Such contraction locus is union all minimal rational curves in collection cohomology classes which are orthogonal to wall Kähler cone. Cohomology can possibly be cone some deformation M called MBM classes. prove that type (1,1) represented by curves, curves. Any curve contracted on an appropriate ...

Abstract In this paper, we propose two new contractions via simulation function that involves rational expression in the setting of partial b-metric space. The obtained results not only extend, but also generalize and unify existing senses: sense contraction terms abstract setting. We present an example to indicate validity main theorem.