Best proximity point theorems in 1/2−modular metric spaces
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Abstract:
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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Journal title
volume 08 issue 02
pages 145- 158
publication date 2019-06-01
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