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Peer-Review Record

Interpolative Reich–Rus–Ćirić Type Contractions on Partial Metric Spaces

Reviewer 1: Anonymous
Reviewer 2: Anonymous
Mathematics 2018, 6(11), 256; https://doi.org/10.3390/math6110256
Received: 23 October 2018 / Revised: 13 November 2018 / Accepted: 14 November 2018 / Published: 16 November 2018

Round  1

Reviewer 1 Report

I have attached my review report

Comments for author File: Comments.pdf

Author Response

Dear Reviewer,


We thank you for your remarkable comments, suggestion and ideas that helps to improve this paper.

We corrected the paper according to your report...

Please find the point by point response in the attached file.


Author Response File: Author Response.pdf

Reviewer 2 Report

The main result of this paper is Theorem 2.1 on page 3. It provides a new interpolative fixed point theorem in the setting of partial metric spaces. Since this class of spaces has recently attracted quite a few researchers, my recommedation is that (a revised version of) this paper be accepted for publication in "Mathematics". When the authors prepare the revised version of their paper they should take into account the following comments.

(1) Correct English usage should be maintained throughout the manuscript, and all mathematical and linguistic inaccuracies should be eliminated. A few examples can be found below.

(2) Second line of the Abstract: what does the word "enlightenment" mean in this context?

(3) Fourth line of the Abstract: what does the word "illustrated" mean in this context?

(4) Page 1, line 7::"exists" ---> "there exists"

(5) Line 6 of the Introduction (and elsewhere): "possess" ---> "possesses"

(6) Line 6 of the Introduction: why is Kannan's theorem an extension of Banach's theorem?

(7) Line 8 of the Introduction: what are the restrictions on $\lambda$ in this inequality?

(8) Page 1, line 17: please see item (5) above.

(9) Page 1, line 22: "due to that" ---> "because"

(10) Page 2, line 24: "can not" ---> "cannot"

(11) Page 2, line 28: "form" ---> "are"

(12) Page 2, line 31: "a constant" ---> "constants"

(13) Page 2, line 37: please see item (5) above.

(14) Page 2, line 41: "for" ---> "to"

(15) Page 2, line 44: what does the word "preconditions" mean in this context?

(16) Page 2, line 46: what does the word "monitor" mean in this context?

(17) Page 2, line 48: "Fundamental" ---> "fundamental"

(18) Equation (7) on page 3: could $\eta$ be a fixed point of $T$ here?

(19) Page 3, line 78: "built" ---> "build"

(20) Page 4, line 84: what does the word "Eventually" mean here?

(21) Equation (12) on page 4: is $\zeta$ the limit of the sequence $\{\zeta_n\}$?

(22) Page 4, line 95: isn't the limit $\zeta$ and not $\xi$?

(23) In view of the above comments, please check equation (14) carefully.

(24) Page 5, line 107: "with" ---> "by"

(25) Page 5, line 109: "the" ---> "an"

(26) Page 5, line 112: please see item (5) above.

(27) Page 5, line 12: please see item (5) above.

(28) Page 5, line 125: "speed of the rate" ---> "rate"

(29) Page 5, line 125: where exactly is the rate of convergence discussed in this paper?

(30) Reference [17] on page 6 (line 159): "math." ---> "Math."


 

Author Response

Dear Reviewer,


We thank you for your remarkable comments, suggestion and ideas that helps to improve this paper.

We corrected the paper according to your report...

Please find the point by point response in the attached file.


Author Response File: Author Response.docx

Round  2

Reviewer 1 Report

I am satisfied with the corrections made in the revised version.

I recommend the manuscript to be accepted for a publication.

Author Response


Reviewer 1

I am satisfied with the corrections made in the revised version.

I recommend the manuscript to be accepted for a publication.


Authors:

We thank you so much to the reviewers.


Reviewer 2 Report

Since I'm satisfied with this revised version of the paper, my recommendation is that it be accepted for publication in "Mathematics".

Author Response


Reviewer 2:

Since I'm satisfied with this revised version of the paper, my recommendation is that it be accepted for publication in "Mathematics". 


Authors:

We thank you so much to the reviewers.

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