Abstract
The role of Fuzzy topology in logic programming and algorithm has been recognized and applied on various programs to and more accurate result. In particular, topological methods are employed in order to obtain fixed point semantics for logic programs. In this paper, we prove some fixed point theorems in fuzzy metric spaces. As an application, some consequence theorems are given in support of our result.
Highlights
[1] Two self mappings S and T of a fuzzy metric space are said to satisfies E.A. property if there exist a sequence {xn} ∈ X such that limn→∞ T xn = limn→∞ Sxn = x0 for some x0 ∈ X
We show that f a is the common fixed point of f and g
Weakly compatible property of maps f and g implies that f ga = gf a and gga = f f a
Summary
[1] Two self mappings S and T of a fuzzy metric space are said to satisfies E.A. property if there exist a sequence {xn} ∈ X such that limn→∞ T xn = limn→∞ Sxn = x0 for some x0 ∈ X. Let f and g be two weakly compatible self mappings of a fuzzy metric space (X, M, ∗) with t ∗ t ≥ t and for each x = y ∈ X, t > 0 satisfying the condition
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