## Best proximity point theorems for cyclic relatively $$\rho$$-nonexpansive mappings in modular spaces.(English)Zbl 1470.47054

Summary: In this paper we introduce the notion of proximal $$\rho$$-normal structure of pair of $$\rho$$-admissible sets in modular spaces. We prove some results of best proximity points in this setting without recourse to Zorn’s lemma. We provide some examples to support our conclusions.

### MSC:

 54H25 Fixed-point and coincidence theorems (topological aspects) 54E40 Special maps on metric spaces
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### References:

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