Generalized Krasnoselskii-Mann Type Iterations for Two Nonexpansive Mappings in Real Hilbert Spaces
Publish Year: 1402
Type: Journal paper
Language: English
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Document National Code:
JR_AMFA-8-2_001
Index date: 20 June 2023
Generalized Krasnoselskii-Mann Type Iterations for Two Nonexpansive Mappings in Real Hilbert Spaces abstract
In this paper, we discuss a new type of Mann iterative algorithmfor finding a common fixed point of two nonexpansive mappings in real Hilbertspaces, and we establish the weak convergence of this fixed point approachby considering new circumstances. We can also show the algorithm’s strongconvergence by taking into account an extra requirement. Our results extendthe previous results given by Kanzow and Shehu as well as by Cho at et. al. Also in the last section, some applications of the main results are shown, and by some examples, we show the generality of our main results.
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Generalized Krasnoselskii-Mann Type Iterations for Two Nonexpansive Mappings in Real Hilbert Spaces authors
Sirous Moradi
Department of Mathematics, Faculty of science, Lorestan University, Khoramabad ۶۸۱۵۱-۴-۴۳۱۶, Iran
Najmeh Mohitazar
Department of Mathematics, Faculty of science, Arak University, Arak ۳۸۱۵۶-۸-۸۳۴۹, Iran
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