APPROXIMATION OF COMMON SOLUTIONS FOR A FIXED POINT PROBLEM OF A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS AND A GENERALIZED EQUILIBRIUM PROBLEM IN HILBERT SPACE
By
Richard Osward1 and Santosh Kumar2
1Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania-35062, & Department of Mathematics Indian Institute of Technology Madras Chennai, Tamil Nadu, India - 600036.
2Department of Mathemtics, School of Physical Sciences, North-Eastern Hill University, Shillong, Meghalaya, India-793022.
Email: ndabhiama1990@gmail.com, drsengar2002@gmail.com
(Received: September 12,2024; In format: October 19, 2024; Revised: November 30, 2024; Accepted: December 28, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54235
Abstract
In the present paper on application of (w; β)-Bell polynomials ∀w ∈ C, β > 0, authors obtain identities of Kummer confluent hypergeometric function and Srivastava - Daoust function of two variables. Next they derive that the differentiation of these polynomials is connected with Stirling numbers of second kind. Also by these polynomials, they construct a matrix equation representation to study their analytic properties and diagonalization of a matrix consisting of these polynomials as its elements.
2020 Mathematical Sciences Classification: 11B73, 33C15, 33C20, 26A33.
Keywords: (w; β)-Bell polynomials, Stirling number of the second kind, contour integral, Kummer confluent hypergeometric function, Srivastava-Daoust function of two variables, matrix equation representation, Hadamard product.