Schauder Fixed Point Theorem in Spaces with Global Nonpositive Curvature

Schauder Fixed Point Theorem in Spaces with Global Nonpositive Curvature

The fixed point theorem for simplicial nonpositive curvature

We prove that for an action of a finite group G on a systolic complex X there exists a G–invariant subcomplex of X of diameter 5. For 7–systolic locally finite complexes we prove there is a fixed point for the action of any finite G. This implies that free products with amalgamation (and HNN extensions) of 7–systolic groups over finite subgroups are also 7–systolic.

Transversal spaces and common fixed point Theorem

In this paper we formulate and prove some xed and common xed pointTheorems for self-mappings dened on complete lower Transversal functionalprobabilistic spaces.

A RELATED FIXED POINT THEOREM IN n FUZZY METRIC SPACES

We prove a related fixed point theorem for n mappings which arenot necessarily continuous in n fuzzy metric spaces using an implicit relationone of them is a sequentially compact fuzzy metric space which generalizeresults of Aliouche, et al. [2], Rao et al. [14] and [15].

FIXED POINT TYPE THEOREM IN S-METRIC SPACES

 A variant of fixed point theorem is proved in the setting of S-metric spaces