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

Journal of Linear and Topological Algebra

مقاله 7، دوره 08، شماره 02، شهریور 2019، صفحه 145-158   

نوع مقاله: Research Paper

نویسندگان

H. Hosseini¹؛ M. Eshaghi Gordji^{* 2}

¹Department of Mathematics‎, ‎Karaj Branch‎, ‎Islamic Azad University‎, ‎Karaj‎, ‎Iran

²Department of Mathematics‎, ‎Semnan University‎, ‎P‎. ‎O‎. ‎Box 35195-363‎, ‎Semnan‎, Iran

چکیده

‎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.
 

کلیدواژه‌ها

(α, Θ)−ω-contractions؛ Best proximity point؛ 1/2−modular metric space

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