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C-class functions and pair (F,h) Upper class on common best proximity points results for new proximal C-contraction mappings

Ansari A.H. (Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran)
Jacob Geno Kadwin (Department of Mathematics, Bharathidasan University,Trichy, Tamil Nadu, India)
Chellapillai D. (Department of Mathematics, Bharathidasan University,Trichy, Tamil Nadu, India)

In this paper, using the concept of C-class and Upper class functions we prove the existence of unique common best proximity point. Our main result generalizes results of Kumam et al. [[17]] and Parvaneh et al. [[21]].

Keywords: common best proximity point, triangular α-proximal admissible, proximal C-contraction, C-class functions, pair (F,h)upper class