Paper's Title:

Using Direct and Fixed Point Technique of Cubic Functional Equation and its Hyers-Ulam Stability

Author(s):

Ramanuja Rao Kotti, Rajnesh Krishnan Mudaliar, Kaushal Neelam Devi, Shailendra Vikash Narayan

Fiji National University,
Department of Mathematics & Statistics,
P.O. Box 5529, Lautoka,
Fiji.
E-mail: ramanuja.kotti@fnu.ac.fj
URL: https://www.fnu.ac.fj

Abstract:

In this present work, we introduce a new type of finite dimensional cubic functional equation of the form

where Φ≥4 is an integer, and derive its general solution. The main purpose of this work is to investigate the Hyers-Ulam stability results for the above mentioned functional equation in Fuzzy Banach spaces by means of direct and fixed point methods.

Paper's Title:

Hankel Functional Connected to Lemniscate of Bernoulli

Author(s):

K. Ramanuja Rao, Rajnesh Lal and Kaushal Singh

Fiji National University,
Department of Mathematics & Statistics,
P.O. Box 5529, Lautoka,
Fiji.
E-mail: ramanuja.kotti@fnu.ac.fj
 rajnesh.lal@fnu.ac.fj
kaushal.singh@fnu.ac.fj

Abstract:

The aim of present paper is to derive a higher bound (HB) of 3^rd order Hankel determinant for a collection of holomorphic mappings connected with exactly to the right side of the lemniscate of Bernoulli, whose polar coordinates form is r² = 2cos²(2θ). The method carried in this paper is more refined than the method adopted by the authors (see [1]), who worked on this problem earlier.

Paper's Title:

Fuzzy Ideal Congruences of ADL's

Author(s):

G. Prakasam Babu, K. Ramanuja Rao, G. Srikanya and Ch. Santhi Sundar Raj

^1,4Department of Engineering Mathematics,
Andhra University,
Visakhapatnam-A.P,
India.
E-mail: prakash.g368@gmail.com, santhisundarraj@yahoo.com

²Department of Mathematics,
Solomon Islands National University,
Panatina Campus, Honiara,
Solomon Islands.
E-mail: ramanuja.kotti@sinu.edu.sb

³Department of Mathematics,
Raghu Engineering College (A),
Visakhapatnam-A.P.,
India.
E-mail: srikanya.gonnabhaktula@raghuenggcollege.in

Abstract:

The concept of fuzzy congruence of an ADL is introduced. Established a correspondence between fuzzy ideals and fuzzy congruences of an ADL and obtained an equivalent condition for an ADL with a maximal element is a Boolean algebra.

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