ISSN: 2375-3927
International Journal of Mathematical Analysis and Applications  
Manuscript Information
 
 
Fixed Point Theorems in Left and Right Dislocated Quasi-Multiplicative Metric Spaces
International Journal of Mathematical Analysis and Applications
Vol.4 , No. 5, Publication Date: Sep. 20, 2017, Page: 31-34
751 Views Since September 20, 2017, 593 Downloads Since Sep. 20, 2017
 
 
Authors
 
[1]    

M. A. Ahmed, Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt.

[2]    

A. M. Zidan, Department of Mathematics, Faculty of Science, Al-Azhar University, Assuit, Egypt.

 
Abstract
 

In this work, we introduce generalized types of multiplicative metric spaces so-called left and right dislocated quasi multiplicative metric spaces (abbrev. l d q-multiplicative metric space and r d q-multiplicative metric space respectively). We state and prove two fixed point theorems in these spaces.


Keywords
 

Left Dislocated Quasi, Right Dislocated Quasi, Multiplicative Metric Spaces


Reference
 
[01]    

M. A. Ahmed, F. M. Zeyada and G. F. Hassan, Fixed Point Theorems in Generalized Types of Dislocated Metric Space and Its Applications. Thai j. math. ISSIN 168-0209, 11 (2013), 67-73.

[02]    

M. A. Ahmed and A. M. Zidan, Fixed point theorems in a generalized type of multiplicative metric spaces. International Journal of Advances in Mathematics. Volume 2016, Number 1, Pages 49-54, 2016.

[03]    

M. A. Ahmed, A. H. Soliman, and A. M. Zidan, On The Existence of Fixed Points of Two Rational Type Contractions in A Dislocated Quasi Multiplicative Metric Spaces and It’s Application. Journal of Advanced Studies in Topology, [S. l.], v. 8, n. 1, p. 59-66, (2017). ISSN 2090-388X.

[04]    

A. E. Bashirov, E. M. Kurpinar and A. Özyapici, Multiplicative calculus and its applica- tions, J. Math. Anal. Appl., 337 (2008) 36-48.

[05]    

P. Hitzler, Generalized Metrics and Topology in Logic Programming Semantics, Ph. D The- sis, National Univeristy of Ireland, University College Cork, (2001).

[06]    

M. Özavsar and A. C. Cevikel, Fixed point of multiplicative contraction mapping on mul- tiplicative metric spaces. http://arxiv.org/abs/1205.5131v1.

[07]    

P. Waszkiewicz, The local triangle axioms in topology and domain theory, Applied Gen- eral Topology 4 (1) (2003) 47-70.

[08]    

Zeyada F M, Hassan G H, Ahmed M A. A generalization of a fixed point theorem due to Hitzler and Seda in dislocated quasi-metric spaces[J]. Arabian journal for Science and Engineering, 2006, 31(1A): 111.





 
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