Abstract.In this paper, we state a new form of fixed point theorems on metric spaces and 2-metric spaces which unifies and generalizes many results in the literature. Examples are given to illustrate ...

We study the curvature of the moduli space Mg of curves of genus g with the Siegel metric induced by the period map $j:M_g \to A_g $. We give an explicit formula for ...

Fixed point theory is a cornerstone of mathematical analysis that investigates conditions under which maps on metric spaces yield invariant points. Traditionally exemplified by the Banach contraction ...

Banach spaces provide a fundamental framework for analysing problems in functional analysis, encapsulating the notion of complete normed vector spaces. Metric geometry, by contrast, concerns itself ...