An Iterative Algorithm for Split Equality Fixed Point and Null Point Problem of Lipschitzian Quasi-pseudocontractive Mappings

سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 56

فایل این مقاله در 25 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_MACO-4-1_001

تاریخ نمایه سازی: 14 بهمن 1402

چکیده مقاله:

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.

کلیدواژه ها:

Split equality fixed point and null point problem ، quasi-pseudo- contractive mapping ، maximal monotone operators ، Halpern-type algorithm.

نویسندگان

UKO SUNDAY JIM

Department of Mathematics, University of Uyo, Nigeria.

DONATUS of Mathematics, University of Uyo, Nigeria I. IGBOKWE

Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria

مراجع و منابع این مقاله:

لیست زیر مراجع و منابع استفاده شده در این مقاله را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود مقاله لینک شده اند :
  • Aleyner, A., Reich, S. . Block iterative Algorithms for Solving ...
  • Attouch, H., Bolte, J., Redonte, P., Soubeyran, A. Alternating Proximal ...
  • Baillon, J. B., Bruck, R. E., and Reich, S. On ...
  • Bauschke, HH, Combettes, PL: A Weak-to-Strong Convergence Principle for Fejer ...
  • Blum, E, Oettli, W. From Optimization and Variational Inequalities to ...
  • Boikanyo, O. A. and Zegeye, H. The Split Equality Fixed ...
  • Byrne, C: Iterative Oblique Projection Onto Convex Subsets and the ...
  • Censor, Y, Bortfeld, T, Martin, N, Trofimov, A: A Unified ...
  • Censor, Y, Elfving, T. A Multiprojection Algorithm Using Bregman Projections ...
  • Censor, Y, Elfving, T, Kopf, N, Bortfeld, T: The Multiple-sets ...
  • Censor, Y, Motova, A, Segal, A. Perturbed Projections and Subgradient ...
  • Chang, S., Agarwal, R. P: Strong Convergence Theorems of General ...
  • Chang, S., Wang, L, Tang, Y., Wang, G.: Moudafi’s Open ...
  • Chang, S., Wang, L, Qin, L.: Split Equality Fixed Point ...
  • Cegielski, A. Iterative Methods for Fixed Point Problems in Hilbert ...
  • Che, H, Li, M: A Simultaneous Iterative Method for Split ...
  • Combettes, P. L. and Hirstoaga, S. A. Equilibrium Programming in ...
  • Jailoka, P. and Suantai, S. Split Common Fixed Point and ...
  • Masad, E., Reich, S. (۲۰۰۷). A Note on the Multiple-set ...
  • Moudafi, A: A Relaxed Alternating CQ Algorithm for Convex Feasibility ...
  • Moudafi, A: Split Monotone Variational Inclusions. J. Optim. Theory Appl. ...
  • Moudafi, A, Al-Shemas, E: Simultaneous Iterative Methods for Split Equality ...
  • Osilike, M. O. and Igbokwe, D. I. Weak and Strong ...
  • Rockafellar, R. T. On the Maximal Monotonicity of Subdifferential Mappings. ...
  • Takahashi, S., Takahashi, W., and Toyoda, M. Strong Convergence Theorems ...
  • Xu, H. K. Inequality in Banach Spaces With Applications. Nonlinear ...
  • Xu, H. K. A Variable Krasnoseli’skii-Mann Algorithm and the Multiple-sets ...
  • Xu, H. K. Iterative Methods for the Split Feasibility Problem ...
  • Yang, Q: The Relaxed CQ Algorithm for Solving the Split ...
  • Yao, Y., Chen, R., Marino, G., Liou, Y. C. Applications ...
  • Yao, Y., Liou, Y., and Yao, J. Split Common Fixed ...
  • Zhao, J, Yang, Q: Several Solution Methods for the Split ...
  • Zhou, H. Strong Convergence of an Explicit Iterative Algorithm for ...
  • نمایش کامل مراجع