Question: In the normal workflow of image processing, there are multiple operations, increase image contrast, image denoising, image deblur and image super-resolution. What are the sequence/order of performing these different operations. Are there any overlap among these operations?

Answer: 
If your image is modeled as an image which is noisy, blurry and heavily decimated the optimal thing to do is estimate the image given that model. 

The model is well defined in [@Laurent Duval](https://dsp.stackexchange.com/users/15892/laurent-duval)'s [answer](https://dsp.stackexchange.com/a/60605/128).  

I'd remark that in most real world cases the blurring is spatially variant hence it can't be modeled by convolution (Well, it is a generalized convolution).

In practice it is too hard (Was?) to solve such things and like in most cases we take the greedy approach: Step by Step.

Since most algorithms are SNR dependent, it makes sense first to handle the noise by Denoising. Pay attention that if we assume the image is blurred we have spatially correlated noise which is more tricky to deal with.

Then I'd handle the Super Resolution / Deblurring.  

Since those are closely related I'd certainly solve them in one step.  

Yet again, in case it is important to do them separately, start with Deblurring then Super Resolution.
I suggest you take a look at this paper:  

*End-to-End Learning for Joint Image Demosaicing, Denoising and Super-Resolution*.  

in **Section 3. Proposed method**, they have discussed the execution order of image demosaicing, denoising, and super-resolution. From the paper,

> 
> For the mixture problem of image demosaicing, denoising and super-resolution, a clean high-resolution color image should be estimated from its noisy low-resolution raw image. For the execution order, **demosaicing
> should follow denoising**, like in [29], to avoid complications in filtering correlated noise after demosaicing. In addition, **the demosaicing should be performed before superresolution** because the correlation across color channels can be exploited when super-resolving color image. Besides
> this reason, performing super-resolution on raw image will
> destroy the original mosaic pattern, which increases the difficulty of demosaicing.
> 
> 
>