A fixed point theorem in probabilistic metric spaces with a convex structure

被引：0

作者：

Zikic-Dosenovic, Tatjana ^{[1
]}

机构：

[1] Univ Novi Sad, Fac Technol, Novi Sad 21000, Serbia

来源：

NEW DIMENSIONS IN FUZZY LOGIC AND RELATED TECHNOLOGIES, VOL I, PROCEEDINGS | 2007年

关键词：

multivalued mappings; coincidence point; probabilistic metric space; Menger space; triangular norm; Menger space with a convex structure;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The inequality F(f x,f y)(qs) >= F(x,y)(s) (s >= 0), where q is an element of (0, 1), is generalized for multi-valued mappings in many directions. Using Hausdorff distance S.B. Nadler in [7] introduced a generalization of Banach contraction principle in metric spaces. In [3] the definition of probabilistic Nadler q-contraction is given. Using some results given in [12] a fixed point theorem on spaces with a convex structure is obtained. Some fixed point, theorems in such spaces are proved in [1, 2].

引用

页码：241 / 246

页数：6

共 12 条

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[2]

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[3]

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[4]

Hadzic O., 1979, MAT VESNIK, V3, P125

[5]

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NADLER, SB .

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[7]

Pap E, 2001, FIXED POINT THEORY P

[8]

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[9]

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[10]

Sehgal V.M., 1972, MATH SYSTEM THEORY, V6, P97, DOI [10.1007/BF01706080, DOI 10.1007/BF01706080]

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