COMMON FIXED POINT THEOREMS FOR NON-COMPATIBLE MAPPINGS AND MEIR-KEELER TYPE CONTRACTIVE CONDITION IN FUZZY METRIC SPACES

Sushil Sharma; Bhavana Deshpande

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COMMON FIXED POINT THEOREMS FOR NON-COMPATIBLE MAPPINGS AND MEIR-KEELER TYPE CONTRACTIVE CONDITION IN FUZZY METRIC SPACES

机译：COMMON FIXED POINT THEOREMS FOR NON-COMPATIBLE MAPPINGS AND MEIR-KEELER TYPE CONTRACTIVE CONDITION IN FUZZY METRIC SPACES

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摘要

We define a new commutativity condition in fuzzy metric spaces. We also define an analogue of the (?, δ) contractive condition in the settings of fuzzy metric spaces. As applications we prove some fixed point theorems in fuzzy metric spaces. We also show that completeness of the whole space can be replaced by a weaker condition and continuity of any mapping is not necessary for the existence of a common fixed point.

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来源
《International journal of mathematics and analysis》 |2022年第2期|165-177|共13页
作者
Sushil Sharma; Bhavana Deshpande;
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作者单位

Department of Mathematics Govt. College Mahidpur (M.P.) India;

Department of Mathematics Govt. Arts and Science P.G. College, Ratlam (M.P.) India;

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原文格式 PDF
正文语种英语
中图分类数学分析;
关键词
fuzzy metric spaces; non-compatible mappings; common fixed points;

COMMON FIXED POINT THEOREMS FOR NON-COMPATIBLE MAPPINGS AND MEIR-KEELER TYPE CONTRACTIVE CONDITION IN FUZZY METRIC SPACES

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