Interpolative Ćirić-Reich-Rus-type best proximity point results with applications

Author:

Saleem Naeem1,Işık Hüseyin2,Khaleeq Sana1,Park Choonkil3

Affiliation:

1. Department of Mathematics, University of Management and Technology, Lahore, Pakistan

2. Department of Engineering Science, Bandırma Onyedi Eylül University, Bandırma 10200, Balıkesir, Turkey

3. Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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