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 ...

Geometric analysis, at its core, integrates methods from differential geometry and partial differential equations to study the properties of spaces endowed with a notion of distance. Metric spaces, ...

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 ...

In this paper we investigate the productivity of many classes of generalized metric spaces; including M-spaces, ωM-spaces, ωΔ-spaces, quasi-complete spaces, ∑-spaces and β-spaces. The concept of a ...

Note: Due to the journal's editorial policy, the numbering of theorems, examples, etc. in this paper was changed between the arXiv preprint and the published version. Magnitude, diversity, capacities, ...