Open AccessInterpolative Ćirić-Reich-Rus-type best proximity point results with applications
Author(s) -
Naeem Saleem,
Hüseyin Işık,
Sana Khaleeq,
Choonkil Park
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022542
Subject(s) - omega , metric space , mathematics , type (biology) , metric (unit) , contraction (grammar) , fixed point , point (geometry) , pure mathematics , discrete mathematics , algorithm , mathematical analysis , geometry , physics , medicine , ecology , operations management , quantum mechanics , economics , biology
In this paper, we introduce the notion of $ \omega $-interpolative Ćirić-Reich-Rus-type proximal contraction. We obtain some best proximity point results for these mappings using the concept of $ \omega $-admissibility in complete metric spaces. Some best proximity results are extended to partial ordered metric spaces and graphical metric spaces. Several new definitions are presented by considering the special cases of aforementioned results. The application of these results in fixed point theory is also discussed. The acquired results extend $ \omega $-interpolative Ćirić-Reich-Rus-type contraction for obtaining fixed points.