In a recent paper, Khojasteh emph{et al.} [F. Khojasteh, S. Shukla, S. Radenovi'c, A new approach to the study of fixed point theorems via simulation functions, Filomat, 29 (2015), 1189-–1194] presented a new class of simulation functions, say $mathcal{Z}$-contractions, with unifying power over known contractive conditions in the literature. Following this line of research, we extend and ...

The total space of the tangent bundle of a Kähler manifold admits a canonical Kähler structure. Parallel translation identifies the space T of oriented affine lines in R with the tangent bundle of S. Thus, the round metric on S induces a Kähler structure on T which turns out to have a metric of neutral signature. It is shown that the isometry group of this metric is isomorphic to the isometry g...

We show that two of the Bryant-Salamon G2-manifolds have a simple topology, S \S or S \CP . In this connection, we show there exists a complete Ricci-flat (non-flat) metric on Sn \ Sm for some n − 1 > m. We also give many examples of special Lagrangian submanifolds of T ∗Sn with the Stenzel metric. Hypersurface geometry is essential for these arguments.

This is a review paper based on recent article FG- coupled fixed points [17], in which the authors established point theorems partially ordered complete S∗ metric space. The results were illustrated by suitable examples, too. An an n-tuple from n-product of set to non negative reals. [17] generalizes main Gnana Bhaskar and Lakshmikantham [5].

In this paper, we study the notion of \(\mathcal{I}\)-localized and \(\mathcal{I}^*\)-localized sequences in \(S\)-metric spaces. Also, investigate some properties related to \(\mathcal{I}\)-Cauchy give idea \(\mathcal{I}\)-barrier a sequence same space. Finally, use for an be when ideal \(\mathcal{I}\) satisfies condition (AP).

Objective : The present paper is an attempt to improve results on fixed point theorems for four pairwise occasionally weakly compatible (owc) mappings in S-metric spaces. Method: We have applied quadratic inequality prove certain fixed-point owc under weaker conditions using (CLR) property. Findings: generalized and expanded some already existing the literature new are obtained that generated c...