EXISTENCE AND UNIQUENESS OF COMMON FIXED POINT OF WEAKLY COMPATIBLE MAPS IN G-METRIC SPACE.
- Acs college gangakhed.
- Dsm college jintur.
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Abstract
In this paper we study concepts of weakly compatible maps and E.A. property of pair of self maps. We have used these concepts to prove common fixed point theorem of weakly compatible mappings in G- Metric space.
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References
- Banach. , Surles operations dansles ensembles abstraits et leur applications aux equations integrals , Fund. Math., 3(1922) 133-181.
- G. ,Commuting maps and fixed points , Am. Mat., 83 (1976) 261-263.
- Sesa , ?On a Weak commutativity condition of mappings in fixed point consideration?, Publ. Inst, Mat. Soc , 32(1982) 149-153
- G. ?Compatible maps and common fixed points , 9(4), (1986) 771-779
- Jungck, ?Common fixed points for noncontinuous non self maps on non Metric Spaces? Far, East J. Mat. Sci. , 4(1996) 199-215
- Aamri M. , D.E. Moutawakil , ?Some new common fixed point theorems under strict contractive conditions?, Math. Anal. Appl. 270 (2002). 181-188
- Gahler S. , 2-Metric spaces Raume und three topologische strukter, Mathematische Nachrichten , 26(1963) , 115-148.
- et. all , strictly convex and 2-convex 2-Normed spaces , Mat. Japonica, 33(3) (1988), 375-384
- Bapurao Dhage, Generalized Metric space and mapping with fixed point, Bull. Calcutta Mat soc., 84 (1992)
- Zead Mustafa and Sims , Some Remarks Concerning D-Metric spaces, Proceeding of International conference on fixed point theory and applications, Yokohama publishers, Valenica, 13(19) 2004
- Mustafa and Sims B. A new approach to generalized Metric spaces, J. Non. And Convex analysis, 7, (2) (2006) 289-297
- Mustafa , Common Fixed points of weakly compatible mappings in G- Metric spaces, appl. Mat.vol 6 ,2012 92, 4589-4600.
- Kumar , Comaptible maps in G-Metric Spaces , Inter. J. of Math. 6(29)(2012),1415-1421.
- Latpate and Dolhare U.P. On Result of common fixed points compatible maps in Generalized Metric Spaces.Inet. J. of Math. And appl. Vol 5 ,(2), (2017),345-349.
How to Cite This Article
Latpate V. V. and Dolhare U.P. (2017); EXISTENCE AND UNIQUENESS OF COMMON FIXED POINT OF WEAKLY COMPATIBLE MAPS IN G-METRIC SPACE., Int. J. of Adv. Res., 5 (08), 2076-2083, ISSN 2320-5407. DOI: https://doi.org/10.21474/IJAR01/5274
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