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 ρ−compatible mappings satisfying a (φ − Ψ)−weak contraction. The second theorem is another version of the first theorem. In the third theorem we study a common fixed point of ρ−compatible 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, ρ−Compatible 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.