Best proximity point theorems in 1/2−modular metric spaces

نویسندگان

  • H. Hosseini Department of Mathematics‎, ‎Karaj Branch‎, ‎Islamic Azad University‎, ‎Karaj‎, ‎Iran
  • M. Eshaghi Gordji Department of Mathematics‎, ‎Semnan University‎, ‎P‎. ‎O‎. ‎Box 35195-363‎, ‎Semnan‎, Iran
چکیده مقاله:

‎In this paper‎, ‎first we introduce the notion of $frac{1}{2}$-modular metric spaces and weak $(alpha,Theta)$-$omega$-contractions in this spaces and we establish some results of best proximity points‎. ‎Finally‎, ‎as consequences of these theorems‎, ‎we derive best proximity point theorems in modular metric spaces endowed with a graph and in partially ordered metric spaces‎. ‎We present an example to illustrate the usability of these theorems‎.  

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عنوان ژورنال

دوره 08  شماره 02

صفحات  145- 158

تاریخ انتشار 2019-06-01

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