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Common Fixed Point Theorems for two mappings in D∗-Metric Spaces

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Abstract (2. Language): 
n this paper, we present some new definitions of D∗-metric spaces and prove a common fixed point theorem for two mappings under the condition of weakly compatible mappings in complete D∗-metric spaces. Also we improved some fixed point theorems in complete D∗-metric spaces.
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REFERENCES

References: 

[1] I.Altun, H.A.Hancer and D.Turkoglu,A fixed point theorem for multi-
maps satisfying an implicit relation on metrically convex metric
spaces,Math. Communications 11(2006),17-23.
[2] N.A.Assad and S.Sessa, Common fixed points for nonself-maps on com-
pacta, SEA Bull. Math. 16 (1992), 1-5.
[3] N.Chandra, S.N.Mishra, S.L.Singh and B.E.Rhoades, Coincidences and
fixed points of nonexpansive type multi-valued and single-valued maps,
Indian J. Pure Appl. Math.26 (1995), 393-401.[4] Y.J.Cho, P.P.Murthy and G.Jungck, A common fixed point theorem of
Meir and Keeler type, Internat. J. Math.Sci. 16 (1993), 669-674.
[5] R.O.Davies and S.Sessa, A common fixed point theorem of Gregus type
for compatible mappings, Facta Univ. (Nis) Ser. Math. Inform. 7 (1992),
51-58.
[6] B.C.Dhage, Generalised metric spaces and mappings with fixed point,
Bull. Calcutta Math. Soc.84(1992),no.4,329-336.
[7] B.C.Dhage, A fixed point theorem for non-self multi-maps in metric
spaces, Comment. Math. Univ. Carolinae 40(1999), 251-258.
[8] George A, Veeramani P. On some result in fuzzy metric space. Fuzzy Sets
Syst 1994; 64:395–9.
[9] M.Imdad, S.Kumar, M.S.Khan, Remarks on some fixed point theorems
satisfying implicit relation, Rad. Math.11(2002),135-143.
[10] J.Jachymski, Common fixed point theorems for some families of maps,
Indian J.Pure Appl. Math. 55 (1994), 925-937.
[11] Jungck G. Commuting maps and fixed points. Amer Math Monthly 1976;
83:261–3.
[12] Jungck G and Rhoades B. E, Fixed points for set valued functions without
continuity,Indian J. Pure Appl. Math. 29(1998), no. 3,227-238.
[13] S.M.Kang, Y.J.Cho and G.Jungck, Common fixed points of compatible
mappings, Internat. J.Math. Math. Sci. 13 (1990), 61-66.
[14] Rodr´ıguez L´opez J, Ramaguera S. The Hausdorff fuzzy metric on compact
sets. Fuzzy Sets Sys 2004; 147:273–83.
[15] Mihet¸D.A Banach contraction theorem in fuzzy metric spaces.Fuzzy Sets
Sys 2004;144:431-9.
[16] V.Popa, A general coincidence theorem for compatible multivalued map-
pings satisfying an implicit relation, Demonstratio Math.33(2000),159-
164.
[17] Naidu S.V.R, Rao K.P.R and Srinivasa Rao N. On the topology of D-
metric spaces and the generation of D-metric spaces from metric spaces,
Internat.J.Math. Math.Sci. 2004(2004), No.51,2719-2740.
[18] Naidu S.V.R, Rao K.P.R and Srinivasa Rao N. On the concepts of balls
in a D- metric space, Internat.J.Math.Math.Sci.,2005,No.1(2005)133-141.
100 Shaban Sedghi and Nabi Shobe
[19] Naidu S.V.R, Rao K.P.R and Srinivasa Rao N. On convergent sequences
and fixed point theorems in D-Metric spaces, Internat.J.Math.Math.Sci.,
2005:12(2005),1969-1988.
[20] B.E.Rhoades,A fixed point theorem for generalized metric
spaces,Int.J.Math.Math.Sci.19(1996),no.1,145-153.
[21] B.E.Rhoades, K.Tiwary and G.N.Singh, A common fixed point theorem
for compatible mappings, Indian J.Pure Appl. Math. 26 (5) (1995),403-
409.
[22] B.E.Rhoades,A fixed point theorem for a multi-maps inon-self mappings,
Comment. Math. Univ. Carolinae 37(1996), 401-404.
[23] Saadati R, Razani A, and Adibi H. A common fixed point the-
orem in L-fuzzy metric spaces. Chaos, Solitons and Fractals,
doi:10.1016/j.chaos.2006.01.023.
[24] S.Sessa and Y.J.Cho, Compatible mappings and a common fixed point
theorem of change type, Publ. Math. Debrecen 43 (3-4) (1993),289-296.
[25] S.Sessa, B.E.Rhoades and M.S.Khan, On common fixed points of com-
patible mappings, Internat. J.Math. Math. Sci. 11 (1988),375-392.
[26] S.Sharma, B.Desphande, On compatible mappings satisfying an implicit
relation in common fixed point consideration, Tamkang J.Math. 33(2002),
245-252.
[27] B.Singh and R.K.Sharma, Common fixed points via compatible maps in
D-metric spaces, Rad. Mat.11 (2002), no.1,145-153.
[28] K.Tas, M.Telci and B. Fisher,Common fixed point theorems for compat-
ible mappings, Internat. J.Math. Math. Sci. 19 (3) (1996), 451-456.

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