A NEW ITERATIVE METHOD FOR SOLVING SPLIT FEASIBILITY PROBLEM

Chanchal Garodia; Izhar Uddin

doi:10.11948/20190179

2020 Volume 10 Issue 3

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Chanchal Garodia, Izhar Uddin. A NEW ITERATIVE METHOD FOR SOLVING SPLIT FEASIBILITY PROBLEM[J]. Journal of Applied Analysis & Computation, 2020, 10(3): 986-1004. doi: 10.11948/20190179

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Chanchal Garodia, Izhar Uddin. A NEW ITERATIVE METHOD FOR SOLVING SPLIT FEASIBILITY PROBLEM[J]. Journal of Applied Analysis & Computation, 2020, 10(3): 986-1004. doi: 10.11948/20190179

A NEW ITERATIVE METHOD FOR SOLVING SPLIT FEASIBILITY PROBLEM

Chanchal Garodia^1,,
Izhar Uddin^1, ,

1.
Department of mathematics, Jamia Millia Islamia, New Delhi-110025, India

Author Bio: Email address:c.garodia85@gmail.com(C. Garodia)
Corresponding author: Email address: izharuddin1@jmi.ac.in(I. Uddin)

Abstract

Abstract

In this paper, we construct a new iterative algorithm and show that the newly introduced iterative algorithm converges faster than a number of existing iterative algorithms for contractive-like mappings. We present a numerical example followed by graphs to validate our claim. We prove strong and weak convergence results for approximating fixed points of generalized $\alpha$-nonexpansive mappings. Again we reconfirm our results by an example and table. Further, we utilize our proposed algorithm to solve split feasibility problem.
- Generalized $\alpha$-nonexpansive mappings /
- fixed point /
- contractive-like mappings /
- iteration process /
- strong and weak convergence /
- split feasibility problem
MSC: 47H09, 47H10, 54H25

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References

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