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 ...

Viorica Mureşan, Anton S. Mureşan, On the theory of fixed point theorems for convex contraction mappings, Carpathian Journal of Mathematics, Vol. 31, No. 3 (2015), pp. 365-371 ...

The proof for Brouwer's Fixed Point Theorem uses a bridge between geometry and algebra.

Why waste an opportunity?) According to the Brouwer Fixed-Point Theorem, there is at least one point on the crumpled paper that is exactly over the spot where it was before you crumpled it up.

In the framework of Banach spaces and Banach algebras, fixed point theorems guarantee that under specific mapping conditions—such as contraction, nonexpansiveness, or condensing properties—a ...

Fixed-Point Theorems These somewhat implausible laws state that points must reappear in their original positions when the surfaces on which they lie undergo certain deformations.

The fixed point of it all Fixed point theoremsvital tools for mathematicianscan seem esoteric, but fixed points actually crop up every now and then in unexpected places which you might not readily ...