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Universal Journal of Computational Mathematics(CEASE PUBLICATION) Vol. 2(4), pp. 69 - 86
DOI: 10.13189/ujcmj.2014.020402
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Common Fixed Point Theorems for Weak Contraction Mapping of Integral Type in Modular Spaces

R. A. Rashwan ^1,*, H. A. Hammad ^2,*
1 Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt
² Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

ABSTRACT

In this paper, we prove three common fixed point theorems for weak contraction map- pings of integral type in modular spaces. In the first theorem we prove a common fixed point of 蟻鈭抍ompatible mappings satisfying a (蠁 鈭� 唯)鈭抴eak contraction. The second theorem is another version of the first theorem. In the third theorem we study a common fixed point of 蟻鈭抍ompatible mappings in modular spaces involving altering distances of integral type. The results extended several similar results in metric and Banach spaces.

KEYWORDS
Common Fixed Point, Modular Spaces, 蟻鈭扖ompatible Maps, Comparsion Function, Lebesgue-Stieltjes Integrable Mapping, Altering Distance Function

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] R. A. Rashwan , H. A. Hammad , "Common Fixed Point Theorems for Weak Contraction Mapping of Integral Type in Modular Spaces," Universal Journal of Computational Mathematics(CEASE PUBLICATION), Vol. 2, No. 4, pp. 69 - 86, 2014. DOI: 10.13189/ujcmj.2014.020402.

(b). APA Format:
R. A. Rashwan , H. A. Hammad (2014). Common Fixed Point Theorems for Weak Contraction Mapping of Integral Type in Modular Spaces. Universal Journal of Computational Mathematics(CEASE PUBLICATION), 2(4), 69 - 86. DOI: 10.13189/ujcmj.2014.020402.