Common fixed point theorems for left reversible and near-commutative semigroups and applications
نویسندگان
چکیده
منابع مشابه
Common Fixed Point Theorems for Left Reversible and Near-commutative Semigroups and Applications
Recently, Y.-Y. Huang and C.-C. Hong [15, 16], T.-J. Huang and Y.-Y. Huang [14], and Y.-Y. Huang et al. [17] obtained a few fixed point theorems for left reversible and nearcommutative semigroups of contractive self-mappings in compact and complete metric spaces, respectively. These results subsume some theorems in Boyd and Wong [1], Edelstein [3], and Liu [20]. In this paper, motivated by the ...
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This paper consists of two main results. The first one shows that if S is a left reversible semigroup of selfmaps on a complete metric space (M,d) such that there is a gauge function φ for which d(f(x),f (y)) ≤ φ(δ(Of (x,y))) for f ∈ S and x,y in M , where δ(Of (x,y)) denotes the diameter of the orbit of x,y under f , then S has a unique common fixed point ξ in M and, moreover, for any f in S a...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2005
ISSN: 1029-242X
DOI: 10.1155/jia.2005.175