Best Proximity Point and Fixed Point Theorems in Complex Valued Rectangular b-Metric Spaces

Warinsinee Chantakun; Tadchai  Yuying; Supavinee Sattayaporn

Best Proximity Point and Fixed Point Theorems in Complex Valued Rectangular b-Metric Spaces

Authors

Warinsinee Chantakun -
Tadchai Yuying
Supavinee Sattayaporn

Keywords:

best proximity point, rectangular b-metric spaces, rectangular complex valued b-metric spaces

Abstract

The aim of this paper, by using the concept of continuity of $gif.latex?\phi&space;:[0,&space;\infty)^{2}\rightarrow&space;[0,&space;\infty)^{2}$ which satisfying $gif.latex?\phi&space;(t)\prec&space;t$
and $gif.latex?\phi&space;(0)=0$ to defined some contraction condition of T introduced by G. Meena [12], we prove the unique
best proximity point of A and fixed point of T in complex valued rectangular b-metric space. Our results
extend and improve the results of G. Meena [12], and many others.