scholarly journals Distributed Transactional Memory for Metric-Space Networks

2005 ◽  
pp. 324-338 ◽  
Author(s):  
Maurice Herlihy ◽  
Ye Sun
Keyword(s):  
Metric Space ◽  
Transactional Memory ◽  
Space Networks

scholarly journals Distributed transactional memory for metric-space networks

2007 ◽  
Vol 20 (3) ◽  
pp. 195-208 ◽  
Author(s):  
Maurice Herlihy ◽  
Ye Sun
Keyword(s):  
Metric Space ◽  
Transactional Memory ◽  
Space Networks

Generalized multivalued integral type contraction on weak partial metric space

2020 ◽  
Vol 13 (3) ◽  
pp. 145-151
Author(s):  
Öztürk zlem Acar ◽  
Sümeyye Coşkun
Keyword(s):  
Metric Space ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Integral Type ◽  
Type Contraction

On Asymmetric Distances

2013 ◽  
Vol 1 ◽  
pp. 200-231 ◽  
Author(s):  
Andrea C.G. Mennucci
Keyword(s):  
Total Variation ◽  
Calculus Of Variations ◽  
Distance Function ◽  
Metric Space ◽  
Metric Spaces ◽  
Geodesic Segment ◽  
Intrinsic Metric ◽  
Typical Application ◽  
Variation Formula

Abstract In this paper we discuss asymmetric length structures and asymmetric metric spaces. A length structure induces a (semi)distance function; by using the total variation formula, a (semi)distance function induces a length. In the first part we identify a topology in the set of paths that best describes when the above operations are idempotent. As a typical application, we consider the length of paths defined by a Finslerian functional in Calculus of Variations. In the second part we generalize the setting of General metric spaces of Busemann, and discuss the newly found aspects of the theory: we identify three interesting classes of paths, and compare them; we note that a geodesic segment (as defined by Busemann) is not necessarily continuous in our setting; hence we present three different notions of intrinsic metric space.

On Fixed Point Theorems in Complete Metric Space

2019 ◽  
Vol 10 (7) ◽  
pp. 1419-1425
Author(s):  
Jayashree Patil ◽  
Basel Hardan
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Complete Metric Space
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