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Pant, B. D., Chauhan, S.. (1391). Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications. هنرهای کاربردی, 3(2), 13-23. doi: 10.22075/ijnaa.2012.34
B. D. Pant; S. Chauhan. "Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications". هنرهای کاربردی, 3, 2, 1391, 13-23. doi: 10.22075/ijnaa.2012.34
Pant, B. D., Chauhan, S.. (1391). 'Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications', هنرهای کاربردی, 3(2), pp. 13-23. doi: 10.22075/ijnaa.2012.34
Pant, B. D., Chauhan, S.. Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications. هنرهای کاربردی, 1391; 3(2): 13-23. doi: 10.22075/ijnaa.2012.34

Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications

International Journal of Nonlinear Analysis and Applications
مقاله 2، دوره 3، شماره 2، بهمن 2012، صفحه 13-23    اصل مقاله (392.59 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2012.34
نویسندگان
B. D. Pant1؛ S. Chauhan* 2
1Government Degree College, Champawat, 262523, Uttarakhand, India
2R. H. Government Postgraduate College, Kashipur, 244713, (U. S. Nagar), Uttarakhand, India
تاریخ دریافت: 09 تیر 1390،  تاریخ بازنگری: 27 شهریور 1391،  تاریخ پذیرش: 09 مهر 1391 
چکیده
In 2008, Al-Thagafi and Shahzad [Generalized I-nonexpansive self-maps and invariant approximations, Acta Math. Sinica 24(5) (2008), 867{876] introduced the notion of occasionally weakly compatible mappings (shortly owc maps) which is more general than all the commutativity concepts. In the present paper, we prove common fixed point theorems for families of owc maps in Menger spaces. As applications to our results, we obtain the corresponding fixed point theorems in fuzzy metric spaces. Our results improve and extend the results of Kohli and Vashistha [Common fixed point theorems in probabilistic metric spaces, Acta Math. Hungar. 115(1-2) (2007), 37-47], Vasuki [Common fixed points for R-weakly commuting maps in fuzzy metric spaces, Indian J. Pure Appl. Math. 30 (1999), 419{423], Chugh and Kumar [Common fixed point theorem in fuzzy metric spaces, Bull. Cal. Math. Soc. 94 (2002), 17{22] and Imdad and Ali [Some common fixed point theorems in fuzzy metric spaces, Math. Commun. 11(2) (2006), 153-163].
کلیدواژه‌ها
Triangle norm (t-norm)؛ Menger space؛ Fuzzy metric space؛ Occasionally weakly compatible mappings؛ Fixed point
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