A split common fixed point and null point problem for Lipschitzian $J-$quasi pseudocontractive mappings in Banach spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 151، دوره 13، شماره 1، خرداد 2022، صفحه 1827-1853 اصل مقاله (501.21 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23332.2521 | ||
| نویسندگان | ||
| Uko Sunday Jim* ؛ Donatus Ikechi Igbokwe | ||
| Department of Mathematics, University of Uyo, P. M. B. 1017, Uyo, Nigeria | ||
| چکیده | ||
| A split common fixed point and null point problem (SCFPNPP) which includes the split common fixed point problem, the split common null point problem and other problems related to the fixed point problem and the null point problem is studied. We introduce a Halpern--Ishikawa type algorithm for studying the split common fixed point and null point problem for Lipschitzian $J-$quasi pseudocontractive operators and maximal monotone operators in real Banach spaces. Moreover, we establish a strong convergence results under some suitable conditions and reduce our main result to the above-mentioned problems. Finally, we applied the study to split feasibility problem (FEP), split equilibrium problem (SEP), split variational inequality problem (SVIP) and split optimization problem (SOP). | ||
| کلیدواژهها | ||
| Split common fixed point problem؛ split common null point problem؛ $J-$quasi pseudocontractive operators؛ maximal monotone operators؛ Halpern--Ishikawa type algorithm | ||
| مراجع | ||
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