Finding a Solution to an Optimization Problem and an Application

Mustafa Aslantas ()
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Mustafa Aslantas: Çankırı Karatekin University

Journal of Optimization Theory and Applications, 2022, vol. 194, issue 1, No 5, 141 pages

Abstract: Abstract In this paper, we obtain some best proximity point results on 0-complete partial metric spaces by introducing a new concept of mixed multivalued contraction mapping. Thus, we generalize and extend some important and famous results existing in the literature. To support our results, we present a noteworthy illustrative and comparative example. Finally, we give some applications of our new best proximity point theorems to homotopy theory as directly unlike homotopy applications existing in the literature. Hence, we prove some best proximity point results for homotopic mappings.

Keywords: Homotopy theory; Best proximity point; Mixed multivalued mappings; 0-complete partial metric space; Primary 54H25; Secondary; 47H10 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10957-022-02011-4

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