Various results appear in the literature for deriving existence and uniqueness of fixed points for endofunctors on categories of complete metric spaces. All these results are proved for contracting functors which satisfy some further requirements, depending on the category in question. Following a new kind of approach, based on the notion of η-isometry, we show that the sole hypothesis of contr...

In this paper, we establish some fixed point theorems in ordered partial metric spaces. An example is given to illustrate our obtained results.

Let £ be a vector bundle and P(E) its associated projective bundle. Some necessary conditions on the characteristic classes of E for existence of a fibrewise fixed-point free map P(E) -> P(E) are obtained.

We investigate Cuntz-Pimsner C∗-algebras associated with certain correspondences of the unit circle T. We analyze these C∗-algebras by analogy with irrational rotation algebras Aθ and Cuntz algebras On. We construct a Rieffel type projection, study the fixed point algebras of certain actions of finite groups, and calculate the entropy of a certain endomorphism. We also study the induced map of ...

In this article, we study the existence and uniqueness of a common fixed point of family of self mappings satisfying implicit relation on a 2-Banach space. We also prove wellposedness of a common fixed point problem. Full text

In this paper we prove some new fixed point theorems for multivalued mappings on orbitally complete uniform spaces.

In this paper, we consider a new class of pairs of generalized contractive type mappings defined in ordered partial metric spaces. Some coincidence and common fixed point results for these mapping are presented. An example is given to illustrate our obtained results.

We ask whether strictly causal components form well defined systems when arranged in feedback configurations. The standard interpretation for such configurations induces a fixed-point constraint on the function modelling the component involved. We define strictly causal functions formally, and show that the corresponding fixed-point problem does not always have a well defined solution. We exami...

In this paper, we investigate the fixed-point set of an element of a CAT(0) group in its boundary. Suppose that a group G acts geometrically on a CAT(0) space X . Let g ∈ G and let Fg be the fixed-point set of g in the boundary ∂X . Then we show that Fg = L(Zg), where Zg is the centralizer of g (i.e. Zg = {v ∈ G| gv = vg}) and L(Zg) is the limit set of Zg in ∂X . Thus we obtain that Fg 6= ∅ if ...