Article
Kyungpook Mathematical Journal 2021; 61(2): 257-267
Published online June 30, 2021
Copyright © Kyungpook Mathematical Journal.
Algorithm of Common Solutions to the Cayley Inclusion and Fixed Point Problems
Aadil Hussain Dar*, Mohammad Kalimuddin Ahmad, Javid Iqbal and Waseem Ali Mir
Department of Mathematical Sciences, Baba Ghulam Shah Badshah University, Rajouri, Jammu and Kashmir, 185234, India
e-mail : daraadil555@gmail.com
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India and Department of Mathematics, Faculty of Science, Islamic University of Madinah, Saudi Arabia
e-mail : ahmad_kalimuddin@yahoo.co.in
Department of Mathematical Sciences, Baba Ghulam Shah Badshah University, Rajouri, Jammu and Kashmir, 185234, India
e-mail : javid2iqbal@gmail.com and waseemm181@gmail.com
Received: July 29, 2020; Revised: October 16, 2020; Accepted: November 16, 2020
In this paper, we develop an iterative algorithm for obtaining common solutions to the Cayley inclusion problem and the set of fixed points of a non-expansive mapping in Hilbert spaces. A numerical example is given for the justification of our claim.
Keywords: resolvent operator, Cayley operator, Cayley inclusion, fixed point, algorithm