title: d-Neighborhood system and generalized F-contraction in dislocated metric space.
abstract: This paper, gives an answer for the Question 1.1 posed by Hitzler (Generalized metrics and topology in logic programming semantics, 2001) by means of "Topological aspects of d-metric space with d-neighborhood system". We have investigated the topological aspects of a d-neighborhood system obtained from dislocated metric space (simply d-metric space) which has got useful applications in the semantic analysis of logic programming. Further more we have generalized the notion of F-contraction in the view of d-metric spaces and investigated the uniqueness of fixed point and coincidence point of such mappings.
authors.affiliation: Department of Mathematics, K.L. University, Vaddeswaram, Andhra Pradesh India.
authors.forename: P Sumati
authors.initials: PS
authors.lastname: Kumari
authors.affiliation: Department of Mathematics & Computer Science, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra, Albania.
authors.forename: Kastriot
authors.initials: K
authors.lastname: Zoto
authors.affiliation: Department of Mathematics, Valmeeki Campus, Nepal Sanskrit University, Exhibition Road, Kathmandu, Nepal.
authors.forename: Dinesh
authors.initials: D
authors.lastname: Panthi
keywords: [Formula: see text]-Contraction.; d-Metric space; d-Neighborhood system