A fixed point theorem for mappings satisfying a general contractive condition of integral type
نویسندگان
چکیده
منابع مشابه
Fixed point theorem for mappings satisfying contractive condition of integral type on intuitionistic fuzzy metric space
In this paper, we shall establish some fixed point theorems for mappings with the contractive condition of integrable type on complete intuitionistic fuzzy metric spaces $(X, M,N,*,lozenge)$. We also use Lebesgue-integrable mapping to obtain new results. Akram, Zafar, and Siddiqui introduced the notion of $A$-contraction mapping on metric space. In this paper by using the main idea of the work...
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We establish two fixed-point theorems for mappings satisfying a general contrac-tive inequality of integral type. These results substantially extend the theorem of Branciari (2002). In a recent paper [1], Branciari established the following theorem. Theorem 1. Let (X, d) be a complete metric space, c ∈ [0, 1), f : X → X a mapping such that, for each x, y ∈ X, d(f x,f y) 0 ϕ(t)dt ≤ c d(x,y) 0 ϕ(...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2002
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171202007524