Abstract
In this paper, we introduce a new class of resolvent operator, the η-proximal operator, and discuss some of its properties. We consider a new generalized variational-like inclusion problem involving relaxed monotone operators in Hilbert space and construct a new iterative algorithm for proving the existence of the solutions of our problem. Our results improve and generalize many corresponding results in the recent literature.
Funding statement: The first author is thankful to Deanship of Scientific Research, Qassim University, Saudi Arabia for technical and financial support of the research project 2630.
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© 2017 by De Gruyter
Articles in the same Issue
- Frontmatter
- Sparse signal recovery using a new class of random matrices
- The positivity of the hypergeometric translation operators associated to the Cherednik operators and the Heckman--Opdam theory on ℝd
- Generalized variational-like inclusion involving relaxed monotone operators
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Articles in the same Issue
- Frontmatter
- Sparse signal recovery using a new class of random matrices
- The positivity of the hypergeometric translation operators associated to the Cherednik operators and the Heckman--Opdam theory on ℝd
- Generalized variational-like inclusion involving relaxed monotone operators
- A study on the product set-labeling of graphs
- Optimal control problem and viscosity solutions for the Vlasov equation in Yang–Mills charged Bianchi models
- Jaco-type graphs and black energy dissipation