CONTRACTIONS OVER GENERALIZED METRIC SPACES

@inproceedings{Sarma2009CONTRACTIONSOG,
  title={CONTRACTIONS OVER GENERALIZED METRIC SPACES},
  author={I. Ramabhadra Sarma and Janaswamy Madhusudana Rao and S. Sambasiva Rao},
  year={2009}
}
A generalized metric space (g.m.s) has been defined as a metric space in which the triangle inequality is replaced by the 'Quadrilateral inequal- ity', d(x,y) d(x,a) + d(a,b) + d(b,y) for all pairwise distinct points x,y,a and b of X. (X,d) becomes a topological space when we define a subset A of X to be open if to each a in A there corresponds a positive number ra such that b 2 A whenever d(a,b) < ra. Cauchyness and convergence of sequences are defined exactly as in metric spaces and a g.m.s… CONTINUE READING

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