Name
Abstract | ||
|---|---|---|
The problem of how to merge, by means of a function, a family of metrics into a single one was studied deeply by J. Borsik and J. Dobos [On a product of metric spaces, Math. Slovaca31 (1981) 193-205]. Motivated by the utility of quasi-metrics in Computer Science, the Borsik and Dobos study was extended to the quasi-metric context in such a way that a general description of how to combine through a function a family of quasi-metrics in order to obtain a single one as output was provided by G. Mayor and O. Valero [Aggregation of asymmetric distances in Computer Science, Inform. Sci.180 (2010) 803-812]. In this paper, inspired by the fact that fixed point theory provides an efficient tool in many fields of applied sciences, we have proved fixed point theorems for a new type of contractions, that we have called projective @F-contractions, defined between quasi-metric spaces that have been obtained via the so-called quasi-metric aggregation functions. Moreover, we show that the new fixed point results are useful to discuss, on the one hand, the complexity of a collection of recursive programs whose running times of computing hold a coupled system of recurrence equations and, on the other hand, to analyze simultaneously the complexity and the correctness of recursive algorithms that perform a computation by means of a recursive denotational specification. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.fss.2012.08.009 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
recursive program,recursive algorithm,computer science,so-called quasi-metric aggregation function,fixed point theory,quasi-metric space,quasi-metric context,recursive denotational specification,new fixed point result,fixed point theorem,denotational semantics,metric,homogeneous function | Discrete mathematics,Homogeneous function,Denotational semantics,Correctness,Least fixed point,Metric space,Fixed point,Fixed-point theorem,Mathematics,Recursion | Journal |
Volume | ISSN | Citations |
228, | 0165-0114 | 4 |
PageRank | References | Authors |
0.49 | 14 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Javier Martín | 1 | 63 | 11.17 |
| G. Mayor | 2 | 267 | 35.38 |
| O. Valero | 3 | 44 | 4.94 |