Some fixed point theorems for contractive multi-valued mappings induced by generalized distance in metric spaces

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作者
Soawapak Hirunworakit
Narin Petrot
机构
[1] Naresuan University,Department of Mathematics, Faculty of Science
[2] The Centre of Excellence in Mathematics,undefined
[3] CHE,undefined
关键词
complete metric space; generalized multi-valued contractive; distance; fixed point.;
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摘要
The purpose of this paper is to prove some existence theorems for fixed point problem by using a generalization of metric distance, namely u-distance. Consequently, some special cases are discussed and an interesting example is also provided. Presented results are generalizations of the important results due to Ume (Fixed Point Theory Appl 2010(397150), 21 pp, 2010) and Suzuki and Takahashi (Topol Methods Nonlinear Anal 8, 371-382, 1996).
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