We define wt0-distance which is a special type of wt-distance and obtain some best proximity point theorems involving b-simulation functions. Our results are significant, since we replace simulation function with function, metric space b-metric space, w0-distance wt0-distance. also provide examples to support our results.

In this paper, we introduce three classes of proximal contractions that are called the proximally λ−ψ−dominated contractions, generalized ηβγ−proximal and Berinde-type weak obtain common best proximity points for these in setting F−metric spaces. Further, point result α−φ−proximal As an application, fixed coincidence results obtained. Some examples provided to support validity our main results....

We generalize the notion of coupled fixed (or best proximity) points for cyclic ordered pairs maps to p-cyclic maps. find sufficient conditions existence and uniqueness points. illustrate results with an example that covers a wide class