We study convergence group actions on continua, and give a criterion which ensures that every global cut point is a parabolic fixed point. We apply this result to the case of boundaries of relatively hyperbolic groups, and consider implications for connectedness properties of such spaces.

Interoperability is a strong requirement in open distributed systems and in the Semantic Web. The need for ontology integration is not always completely met by the available ontology matching techniques because, in most cases, the semantics of the compared ontologies is not considered, thus leading to inconsistent mappings. Probabilistic approaches has been proposed to validate mappings and sol...

We propose specification of schema mappings and agents’ actions in XML data integration task. We discuss the problem in a highly-dynamic environment consisting of a community of peer-to-peer cooperating partners (agents). Peers decide how to describe their local data, when to join and when to leave the system, how to communicate and share their information with partners. An agent responds to th...

We discuss the importance of choosing the right mapping for music composition generated from underlying ALife and emergent algorithms. Emergent algorithms are popular with composers both because their visual beauty inspires the composer, and because they can generate complexity from simple algorithm rules. Simple mappings to MIDI are preferred as they give a composer more control and predictabi...

We prove a strong convergence result for a sequence generated by Halpern's type iteration for approximating a common fixed point of a countable family of quasi-Lipschitzian mappings in a real Hilbert space. Consequently, we apply our results to the problem of finding a common fixed point of asymptotically nonexpansive mappings, an equilibrium problem, and a variational inequality problem for co...

In this paper, we introduce $rho$-altering $J$-type mappings in modular spaces. We prove some fixed point theorems for $rho$-altering and $rho$-altering $J$-type mappings in modular spaces. We also furnish illustrative examples to express relationship between these mappings. As a consequence, the results are applied to the existence of solution of an integral equation arising from an ODE ...