Volume 4, Issue 1 (6-2023)                   MACO 2023, 4(1): 1-25 | Back to browse issues page

‎ 10.22034/maco.4.1.1

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SUNDAY JIM U, I. IGBOKWE D O M U O U N. An Iterative Algorithm for Split Equality Fixed Point and Null Point Problem of Lipschitzian Quasi-pseudocontractive Mappings. MACO 2023; 4 (1) :1-25
URL: http://maco.lu.ac.ir/article-1-94-en.html
An Iterative Algorithm for Split Equality Fixed Point and Null Point Problem of Lipschitzian Quasi-pseudocontractive Mappings
UKO SUNDAY JIM * , DONATUS of Mathematics, University of Uyo, Nigeria. I. IGBOKWE
Abstract:   (378 Views)
We introduce an iterative algorithm for split equality fixed point and null point problem for Lipschitzian quasi-pseudocontractive
mappings and maximal monotone operators which includes split equality feasibility problem, split equality fixed problem, split equality null point
problem and other problem related to fixed point problems. Moreover, we establish a strong convergence results in real Hilbert spaces under
some suitable conditions and reduce our main result to above-mentioned problems. Finally, we apply the study to split equality feasibility problem (SEFP), split equality equilibrium problem (SEEP), split equality variational inequality problem (SEVIP) and split equality optimization problem (SEOP). The results presented in the paper extend and improve many recent results.
Keywords: Split equality fixed point and null point problem, quasi-pseudo- contractive mapping, maximal monotone operators, Halpern-type algorithm.
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Type of Study: Research Article | Subject: Mathematical Analysis
Published: 2024/02/2
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