Hybrid viscosity approach for hierarchical fixed-point problems |
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Authors: | Saleh Abdullah Al-Mezel Qamrul Hasan Ansari |
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Institution: | 1. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.;2. Vice-Rector, University of Tabuk, Tabuk, Saudi Arabia.;3. Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India. |
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Abstract: | AbstractIn this paper, we propose hybrid implicit and explicit viscosity iterative algorithms for solving general hierarchical fixed-point problems for a countable family of non-expansive mappings in uniformly smooth Banach spaces. These hybrid viscosity algorithms are based on the well-known viscosity approximation method and hybrid steepest-descent method. We obtain some strong convergence theorems under suitable conditions. Our results extend, improve, supplement and develop the recent results in the literature. |
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Keywords: | hybrid viscosity iterative algorithms non-expansive mappings uniformly smooth Banach spaces hierarchical fixed-point problems Demiclosedness principle |
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