Fixed Point Theorems for Geraghty Contraction Type Mappings in b-Metric Spaces and Applications
Round 1
Reviewer 1 Report
Shoud be made some corrections.
Comments for author File: 
Comments.pdf
Author Response
Dear ‎Prof... Thank you for your useful comments and suggestions. We have modified the manuscript accordingly.‎ Best Regards.‎Author Response File: Author Response.pdf
Reviewer 2 Report
My comments are attached on the review report
Comments for author File: Comments.pdf
Author Response
Dear Prof... Thank you for your useful comments and suggestions. We have modified the manuscript accordingly. Best Regards.Author Response File: Author Response.pdf
Reviewer 3 Report
I propose the minor revision listed in the attached document.
Comments for author File: Comments.pdf
Author Response
Dear ‎Prof...‎\\ Thank you for your useful comments and suggestions. We have modified the manuscript accordingly.‎ Best Regards.‎\\Author Response File: Author Response.pdf
Reviewer 4 Report
The fact that beta is upper bounded by 1/s is enough to obtain the convergence of the sequence, the Cauchy property and even the fact that the limit of the sequence is a fixed point of T. So the property of beta function is not needed in the proof of the results.
Author Response
Dear Prof ...
Thank you for your useful comments and suggestions.
‎According to assuming $s\geq 1$‎.
‎If $s> 1$‎, ‎then we have‎
‎$d(x_n,x_{n+1})<\dfrac{1}{s}d(x_{n-1},x_{n}),$ where $\frac{1}{s}<1$‎. ‎So we concluded that $\{x_n\}$ is a Cauchy sequence‎.
‎But‎, ‎while $s=1$‎, ‎we have $d(x_n,x_{n+1})<d(x_{n-1},x_{n})$‎. ‎Then $\{x_n\}$ is a nonincreasing sequence.
‎Best Regard‎s.
Round 2
Reviewer 4 Report
No comment
