Best proximity point theorems in 1/2−modular metric spaces
محورهای موضوعی : Functional analysisH. Hosseini 1 , M. Eshaghi Gordji 2
1 - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
2 - Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan,
Iran
کلید واژه: Best proximity point, (α, Θ)−ω-contractions, 1/2−modular metric space,
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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