Modified Iterative Schemes for a Fixed Point Problem and a Split Variational Inclusion Problem
Mohammad Akram,
Mohammad Dilshad,
Arvind Kumar Rajpoot,
Feeroz Babu,
Rais Ahmad,
Jen-Chih Yao
Affiliations
Mohammad Akram
Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina 42351, Saudi Arabia
Mohammad Dilshad
Computational & Analytical Mathematics and Their Applications Research Group, Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia
Arvind Kumar Rajpoot
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Feeroz Babu
Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, India
Rais Ahmad
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Jen-Chih Yao
Research Center for Interneural Computing, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
In this paper, we alter Wang’s new iterative method as well as apply it to find the common solution of fixed point problem (FPP) and split variational inclusion problem (SpVIP) in Hilbert space. We discuss the weak convergence for (SpVIP) and strong convergence for the common solution of (SpVIP) and (FPP) using appropriate assumptions. Some consequences of the proposed methods are studied. We compare our iterative schemes with other existing related schemes.
