Best proximity point results for weak cyclic Bianchini ϕ-contraction mappings in Banach spaces

SHARMA, AJAY KUMAR; DEWANGAN, MANJARI; Goswami, Mayur Puri

doi:10.30495/maca.2025.2068315.1145

Best proximity point results for weak cyclic Bianchini ϕ-contraction mappings in Banach spaces

10.30495/maca.2025.2068315.1145

Articles in Press, Accepted Manuscript
Available Online from 14 December 2025

Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

AJAY KUMAR SHARMA ¹

MANJARI DEWANGAN ²

Mayur Puri Goswami ³

¹ Department of Mathematics Seth Phoolchand Agrawal Smriti Mahavidyalaya Nawapara, Raipur, (C.G.), India-493881

² S.o.S. in Mathematics Pt.Ravishankar Shukla University, Raipur, (C.G.) India-492010

³ Department of Mathematics, Kalyan PG College, Bhilai Nagar (C.G.) india

Abstract

We present the concept of weak cyclic Bianchini ϕ-contraction mapping in this paper and demonstrate some findings regarding the best proximity points for these mappings in uniformly convex Banach spaces. This study builds upon the weak cyclic Bianchini contraction mapping and findings presented by Petric [17].

Keywords

Fixed point

best proximity point

cyclic contraction

cyclic ϕ- contraction

Bianchini cyclic contraction

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