An iterative technique for solving split equality monotone variational inclusion and fixed point problems
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Oluwatosin Temitope Mewomo
und
Ferdinard Udochukwu Ogbuisi
Abstract
The purpose of this paper is to introduce an iterative algorithm for approximating the solution of the split equality monotone variational inclusion problem (SEMVIP) for monotone operators, which is also a solution of the split equality fixed point problem (SEFPP) for strictly pseudocontractive maps in real Hilbert spaces. We establish the strong convergence of the sequence generated by our iterative algorithm. Our result complements and extends some related results in literature.
Funding statement: The second author acknowledges with thanks the bursary and financial support from Department of Science and Innovation and National Research Foundation, Republic of South Africa Center of Excellence in Mathematical and Statistical Sciences (DSI-NRF COE-MaSS) Doctoral Bursary. Opinions expressed and conclusions arrived are those of the authors and are not necessarily to be attributed to the CoE-MaSS.
Acknowledgements
The authors sincerely thank the reviewers for their careful reading, constructive comments and fruitful suggestions that improved the manuscript.
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Heaviside function as an activation function
- Krylov solvability under perturbations of abstract inverse linear problems
- Existence of solutions for a three-point Hadamard fractional resonant boundary value problem
- Positive solutions to mixed fractional p-Laplacian boundary value problems
- Maximum number of limit cycles for generalized Kukles differential system
- Stabilization of a 1-D transmission problem for the Rayleigh beam and string with localized frictional damping
- Certain multiplier results on Bp spaces
- Remarks on the Belitskii–Lyubich and discrete Markus–Yamabe conjectures
- On deferred statistical convergence of complex uncertain sequences
- Local existence and uniqueness of regular solutions to a Landau–Lifshitz–Bloch equation with applied current
- Converse Ohlin’s lemma for convex and strongly convex functions
- Approximate controllability results in α-norm for some partial functional integrodifferential equations with nonlocal initial conditions in Banach spaces
- Direct proofs of intrinsic properties of prox-regular sets in Hilbert spaces
- On the continuity properties of the Lp balls
- On L 𝔮 convergence of the Hamiltonian Monte Carlo
- Radii of starlikeness and convexity of generalized k-Bessel functions
- An iterative technique for solving split equality monotone variational inclusion and fixed point problems
Artikel in diesem Heft
- Frontmatter
- Heaviside function as an activation function
- Krylov solvability under perturbations of abstract inverse linear problems
- Existence of solutions for a three-point Hadamard fractional resonant boundary value problem
- Positive solutions to mixed fractional p-Laplacian boundary value problems
- Maximum number of limit cycles for generalized Kukles differential system
- Stabilization of a 1-D transmission problem for the Rayleigh beam and string with localized frictional damping
- Certain multiplier results on Bp spaces
- Remarks on the Belitskii–Lyubich and discrete Markus–Yamabe conjectures
- On deferred statistical convergence of complex uncertain sequences
- Local existence and uniqueness of regular solutions to a Landau–Lifshitz–Bloch equation with applied current
- Converse Ohlin’s lemma for convex and strongly convex functions
- Approximate controllability results in α-norm for some partial functional integrodifferential equations with nonlocal initial conditions in Banach spaces
- Direct proofs of intrinsic properties of prox-regular sets in Hilbert spaces
- On the continuity properties of the Lp balls
- On L 𝔮 convergence of the Hamiltonian Monte Carlo
- Radii of starlikeness and convexity of generalized k-Bessel functions
- An iterative technique for solving split equality monotone variational inclusion and fixed point problems
