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

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• 作者：P Sumati Kumari ; Kastriot Zoto ; Dinesh Panthi
• 关键词：d ; Metric space ; d ; Neighborhood system ; $$\mathcal {G}F$$ G F ; Contraction. ; 47H10 ; 54H25
• 刊名：SpringerPlus
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：4
• 期：1
• 全文大小：1779KB
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• 作者单位：P Sumati Kumari (1)
  Kastriot Zoto (2)
  Dinesh Panthi (3)
  
  1. Department of Mathematics, K.L. University, Vaddeswaram, Andhra Pradesh, India
  2. Department of Mathematics & Computer Science, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra, Albania
  3. Department of Mathematics, Valmeeki Campus, Nepal Sanskrit University, Exhibition Road, Kathmandu, Nepal
  
• 刊物类别：Science, general;
• 刊物主题：Science, general;
• 出版者：Springer International Publishing
• ISSN：2193-1801

文摘

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. Keywords d-Metric space d-Neighborhood system \(\mathcal {G}F\)-Contraction.