Browsing by Autor "K. T. Ravindran"

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ACCRETIVE OPERATORS AND BANACH ALAOGLU THEOREM IN LINEAR 2-NORMED SPACES
(2011) Harikrishnan Panackal; Bernardo Lafuerza–Guillén; K. T. Ravindran
In this paper we introduce the concept of accretive operator in linear 2-normed spaces, focusing on the relationships and the various aspects of accretive, m-accretive and maximal accretive operators. We prove the analogous of Banach-Alaoglu theorem in linear 2- normed spaces, obtaining an equivalent definition for accretive operators in linear 2-normed spaces.
On Fixed Points, ∈-fixed Points of Certain Kind of Operators
(2013) K. M. Sruthi; K. T. Ravindran
The aim of the present paper is to obtain fixed point theorems for certain types of mappings such as continuous Banach operator, nonexpansive mapping and asymptotically nonexpansive mapping based on the concept of best approximation. AMS subject classification: 47H09, 47H10
RIESZ THEOREMS IN 2-INNER PRODUCT SPACES
(2011) Harikrishnan Panackal; P. Riyas; K. T. Ravindran
Abstract. In this paper we describe the proof of ’Riesz Theorems ’ in 2-inner product spaces. The main result holds only for a b-linear functional but not for a bilinear functional.
Some results of accretive operators and convex sets in 2-probabilistic normed space
(2012) Harikrishnan Panackal; K. T. Ravindran
In this paper we introduce the concept of accretive opera- tors, discuss some properties of resolvents of an accretive operator in 2-probabilistic normed spaces and focusing on the results of convex sets in 2-probabilistic normed spaces.