Some Invariant Point Results Using Simulation Function

Coincidence point and common fixed point results via scalarization function

The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for three self mappings in $b$-metric spaces. Next, we obtain cone $b$-metric version of these results by using a scalarization function. Our results extend and generalize several well known comparable results in the existing literature.

Some Results on Invariant Approximation

Some Generic Invariant Factor Assignment Results Using Dynamic Output Feedback

Working with input-output transfer functions in the frequency domain and exploiting a formulation involving generalized Sylvester resultants, we are able to derive necessary and sufficient conditions for generic invariant factor assignment, in several cases, using proper dynamic output feedback compensators.

Image Resolution Enhancement Using Spatially Invariant Point Spread Function

This paper presents an image resolution enhancement algorithm using spatially invariant point spread function. Point spread function is used to constrain the solution space. This parameter is computed at each iteration step using partially restored image at each iteration, and High pass filter is used to impose the degree of edge smoothness on the solution. The resulting iterative algorithm exh...

Some Fixed Point Results in Menger Spaces Using a Control Function

Here we prove a probabilistic contraction mapping principle in Menger spaces. This is in line with research in fixed point theory using control functions which was initiated by Khan et al. [Bull. Austral. Math. Soc., 30(1984), 1-9] in metric spaces and extended by Choudhury et al. [Acta Mathematica Sinica, 24(8) (2008), 1379-1386] in probabilistic metric spaces. An example has also been constru...