A GENERALIZATION OF THE BANACH CONTRACTION PRINCIPLE USING PRESIC TYPE CONTRACTION IN MULTIPLICATIVE METRIC SPACES
Keywords:
Abstract
In this paper we prove a unique common fixed point theorems using Presic type contraction in complete multiplicative metric spaces.References
M. Abbas, B. Ali, Y. I. Suleiman, Common fixed points of locally contractive mappings in multiplicative metric spaces with application, Hindawi Publishing corporation International Journal of Mathematics and mathematical sciences Volume 2015, article ID 218683.
M. Abbas, M. De la Sen and T. Nazir, Common fixed points of generalized rational type cocyclic mappings in multiplicative metric spaces, Hindawi Publishing corporation Discrete Dynamics in Nature and Society, Vol. 2015, Article ID 532725,10 pages.
M. Abbas, D. Ili´c , T. Nazir Iterative Approximation of Fixed Points of Generalized Weak Presic Type k-Step Iterative Method for a Class of Operators, Filomat 29:4 (2015), 713–724,DOI 10.2298/FIL1504713A
Ya.I. Alber, S. Guerre-Delabriere, Principles of weakly contractive maps in Hilbert spaces, in: New Results in Operator Theory, in: I. Goldberg,Yu. Lyubich (Eds.), Advances and Appl., vol. 98, Birkhauser Verlag, 1997, pp.7-22.
A.E. Bashirov, E.M. Kurplnara, and A . Ozyapici, Multiplicative calculus and its applicatiopns. J. Math. Anal. Appl. 337, (2008), 36-48.
R. George, M. S. Khan, On Presic Type Extension of Banach Contraction Principle, Int. Journal of Math. Analysis, Vol. 5, 2011, no. 21, 1019 - 1024
M .Ozavsar and A.C Cevikel, Fixed point of multiplicative contraction mappings on multiplicative metric space, ArXiv:1205.5131v1 [matn.GN] (2012).
S. B. Presic, Sur une classe d’inequations aux differences finite et sur laconvergence de certain es suites, Pub.de. l’Inst. Math. Belgrade 5(19)(1965), 75-78.
B.E. Rhoades, Some theorems on weakly contractive maps, Nonlinear Analysis TMA 47(4)(2001) 2683-2693.
M. Sarwar, R. Badshah-e, Some unique fixed point Theorems in multiplicative metric space, ArXiv:1410.3384v2 [matn.GM] (2014).
Downloads
Published
Issue
Section
License
Submission Preparation ChecklistSubmission Preparation Checklist
Before proceeding with your submission, please ensure that you have completed the following checklist. All items on the list must have a checkmark before you can submit your manuscript: