d-Neighborhood system and generalized F-contraction in dislocated metric space

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...

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Detalles Bibliográficos
Autores principales: Kumari, P Sumati, Zoto, Kastriot, Panthi, Dinesh
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2015
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4510329/
https://www.ncbi.nlm.nih.gov/pubmed/26207199
http://dx.doi.org/10.1186/s40064-015-1095-3
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author Kumari, P Sumati
Zoto, Kastriot
Panthi, Dinesh
author_facet Kumari, P Sumati
Zoto, Kastriot
Panthi, Dinesh
author_sort Kumari, P Sumati
collection PubMed
description 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.
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spelling pubmed-45103292015-07-23 d-Neighborhood system and generalized F-contraction in dislocated metric space Kumari, P Sumati Zoto, Kastriot Panthi, Dinesh Springerplus Research 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. Springer International Publishing 2015-07-22 /pmc/articles/PMC4510329/ /pubmed/26207199 http://dx.doi.org/10.1186/s40064-015-1095-3 Text en © Kumari et al. 2015 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Kumari, P Sumati
Zoto, Kastriot
Panthi, Dinesh
d-Neighborhood system and generalized F-contraction in dislocated metric space
title d-Neighborhood system and generalized F-contraction in dislocated metric space
title_full d-Neighborhood system and generalized F-contraction in dislocated metric space
title_fullStr d-Neighborhood system and generalized F-contraction in dislocated metric space
title_full_unstemmed d-Neighborhood system and generalized F-contraction in dislocated metric space
title_short d-Neighborhood system and generalized F-contraction in dislocated metric space
title_sort d-neighborhood system and generalized f-contraction in dislocated metric space
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4510329/
https://www.ncbi.nlm.nih.gov/pubmed/26207199
http://dx.doi.org/10.1186/s40064-015-1095-3
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