Vascular maps

Combined assessment of vascular territories and haemodynamic parameter maps

Introduction: Defining watershed (WS) areas – the border zone regions supplied by the most distal branches of the cerebral arteries – is critical as these regions are most susceptible to haemodynamic ischaemia, and may even play a role in thrombo-embolic stroke due to reduced wash-out of capacity. Territorial arterial spin labelling (TASL) has been shown to provide a method of selectively label...

Stability of F-biharmonic maps

This paper studies some properties of F-biharmonic maps between Riemannian manifolds. By considering the first variation formula of the F-bienergy functional, F-biharmonicity of conformal maps are investigated. Moreover, the second variation formula for F-biharmonic maps is obtained. As an application, instability and nonexistence theorems for F-biharmonic maps are given.

Some results on weakly contractive maps

In this paper direct proofs of some common fixed point results for two and three mappings under weak contractive conditions are given. Some of these results are improved by using different arguments of control functions. Examples are presented showing that some generalizations cannot be obtained and also that our results are distinct from the existing ones.

Multiplicative bijective maps on standard operator algebras

On strongly Jordan zero-product preserving maps

In this paper, we give a characterization of strongly Jordan zero-product preserving maps on normed algebras as a generalization of  Jordan zero-product preserving maps. In this direction, we give some illustrative examples to show that the notions of strongly zero-product preserving maps and strongly Jordan zero-product preserving maps are completely different. Also, we prove that the direct p...