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Abstract
In this paper, we establish some common fixed point theorems for two pairs of self-mappings by using the notion of occasionally weakly compatible/common property (E.A) using an inequality involving quadratic terms in Menger PM-space and these results are partially extend the some known results in the literature.
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References
- Aamri. M and Moutawakil, D. El, Some new common fixxed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002), 181-188.
- Cho, Y. J., Murthy .P. P.and Stojakovic.M, Compatible mappings of type(A) and common fixed point in Menger spaces, Communications of the Korean Mathematical Society, 7(2)(1992), 325–339.
- Doric .D, Kadelburg. Z and Radenovic. S, A note on occasionally weakly compatible mappings and common fixed point. Fixed Point Theory 13(2) (2012), 475-480.
- Jungck, G., Rhoades, B. E., Fixed point theorems for occasionally weakly compatible mappings. Fixed Point Theory 7 (2006), 286-296.
- Jungck, G., Compatible mappings and common fixed points, Int. J. Math. Sci. (1986) 771 - 779.
- Kubiaczyk, I., Sharma, S., Some common fixed point theorems in Menger space under strict contractive conditions, Southeast Asian Bull. Math. 32 (2008), 117 - 124.
- Menger, K., Statistical metrics. Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 535-537.
References
Aamri. M and Moutawakil, D. El, Some new common fixxed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002), 181-188.
Cho, Y. J., Murthy .P. P.and Stojakovic.M, Compatible mappings of type(A) and common fixed point in Menger spaces, Communications of the Korean Mathematical Society, 7(2)(1992), 325–339.
Doric .D, Kadelburg. Z and Radenovic. S, A note on occasionally weakly compatible mappings and common fixed point. Fixed Point Theory 13(2) (2012), 475-480.
Jungck, G., Rhoades, B. E., Fixed point theorems for occasionally weakly compatible mappings. Fixed Point Theory 7 (2006), 286-296.
Jungck, G., Compatible mappings and common fixed points, Int. J. Math. Sci. (1986) 771 - 779.
Kubiaczyk, I., Sharma, S., Some common fixed point theorems in Menger space under strict contractive conditions, Southeast Asian Bull. Math. 32 (2008), 117 - 124.
Menger, K., Statistical metrics. Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 535-537.