Asian Journal of Mathematical Sciences(AJMS)

ON SERIES OF INEQUALITIES VIA VARIOUS ITERATION SCHEMES WITH SELF AND CONTRACTION MAPPINGS IN BANACH SPACE UNDER LIMITING CONDITIONS

Rohit Kumar Verma — Fri, 15 Sep 2023 00:00:00 +0000

Through iterative procedures, our aim is to connect the different inequalities and fixed-point issues
arising from self, contractive and non-expansive mappings in Banach spaces in this communication. We
offer an iterative technique for resolving the fixed-point issues and various inequalities under study. We
demonstrate how well the suggested approach converges.

K-SUPER CONTRA HARMONIC MEAN LABELING OF GRAPHS

R. Gopi — Fri, 15 Sep 2023 00:00:00 +0000

In Let f :V(G){k,k 1,k  2,...,k  p  q 1}be an injective function. Then the induced edge labeling
( ) * uv e f  defined by 






  







  

3
( ) ( ) ( ) ( )
3
( ) ( ) ( ) ( )
( ) * f u f u f v f v
or
f u f u f v f v
f e
, then f is called k-Super
heronian Mean labeling, if { f (V(G))}{ f (e) / eE(G)} {k,k 1,k  2,...,k  p  q 1}.
A graph which admits k-super heronian mean labeling is called a k-super heronian mean graph. In this
paper we introduce and study k-super heronian mean labeling graph. Here k denoted as any positive
integer greater than or equal to 1.

GOLDBACH'S PROBLEMS

Khusid Mykhaylo — Fri, 15 Sep 2023 00:00:00 +0000

The Goldbach-Euler binary problem is formulated as follows: Any even number, starting from 4, can be
represented as the sum of two primes. The ternary Goldbach problem is formulated as follows: Every odd
number greater than 7 can be represented as the sum of three odd primes, which was finally solved in
2013. [1]-[8]. In 1995, Olivier Ramare proved that any even number is the sum of no more than 6
primes.[9]

A PROPOSED SYSTEM TO HIDE INFORMATION BASED FOUR ALGORITHMS FOR IMAGE STEGANOGRAPHY

Ali Mahmood Khalaf — Fri, 15 Sep 2023 00:00:00 +0000

Nowadays, protecting important information, such as images, audio and video files, has become a matter
and must be protected from hacking because the circulation of this information takes place through
unsecured communication channels. Scientists have discovered many of these techniques to protect
information, such as: cryptography and steganography. In this research, a proposed system to hide
information based four algorithms for image steganography. The first step using AES modified
algorithm, while in the second step using RSA modified algorithm to increase the complexity and high
security. The third step fuzzy stream algorithm was used to increase the complexity and eliminate on the
non-linearity of the encrypted information. Third step apply LSB technique was used, which is the
technique of hiding the information. This system provides a high ability to include information and an
inability to perceive hidden information through the use of a many of indicators and PSNR, MSE and
SSIM and that were characterized by high and good rates with modern hiding techniques.