Convergence Result for Solving the Split Fixed Point Problem with Multiple Output Sets in Nonlinear Spaces

Maliha Rashid (), Amna Kalsoom, Amer Hassan Albargi, Aftab Hussain and Hira Sundas
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Maliha Rashid: Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan
Amna Kalsoom: Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan
Amer Hassan Albargi: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Aftab Hussain: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Hira Sundas: Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan

Mathematics, 2024, vol. 12, issue 12, 1-20

Abstract: We study the split fixed point problem with multiple output sets in nonlinear spaces, particularly in CAT(0) spaces. We modify the existing self-adaptive algorithm for solving the split common fixed point problem with multiple output sets in the settings of generalized structures. We also present the consequences of our main theorem in terms of the split feasibility problem and the split common fixed point problem.

Keywords: fixed points; nonlinear spaces; convergence results (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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