System of generalized variational-like inclusions involving \((P,\eta)\)-accretive mapping and fixed point problems in real Banach spaces

DOI10.1007/s40065-023-00440-1OpenAlexW4386291399MaRDI QIDQ6152234

Javad Balooee, Suliman Al-Homidan

Publication date: 11 March 2024

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-023-00440-1

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Variational and other types of inclusions (47J22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extended general nonlinear quasi-variational inequalities and projection dynamical systems
• Iterative algorithm with mixed errors for solving a new system of generalized nonlinear variational-like inclusions and fixed point problems in Banach spaces
• Algorithms for solutions of extended general mixed variational inequalities and fixed points
• A system of generalized variational inclusions involving generalized \(H(\cdot , \cdot )\)-accretive mapping in real \(q\)-uniformly smooth Banach spaces
• Strong convergence of an explicit iteration process for a totally asymptotically \(I\)-nonexpansive mapping in Banach spaces
• New perturbed finite step iterative algorithms for a system of extended generalized nonlinear mixed quasi-variational inclusions
• On the uniform convexity of \(L^p\) and \(l^p\)
• Characterization of \(H\)-monotone operators with applications to variational inclusions
• General system of \(A\)-monotone nonlinear variational inclusion problems with applications
• Iterative approximation of a unique solution of a system of variational-like inclusions in real \(q\)-uniformly smooth Banach spaces
• Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
• An algorithm based on resolvent operators for solving variational inequalities in Hilbert spaces
• A new system of variational inclusions involving \(H(\cdot ,\cdot )\)-accretive operator in Banach spaces
• Geometry of Banach spaces. Selected topics
• \(H\)-monotone operator and resolvent operator technique for variational inclusions
• Combined relaxation methods for variational inequalities
• \(H\)-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces.
• \(A\)-monotonicity and applications to nonlinear variational inclusion problems
• Iterative approximation of a solution of a general variational-like inclusion in Banach spaces
• Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
• Complementarity, equilibrium, efficiency and economics
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Network economics: a variational inequality approach
• Demiclosed principle and \(\Delta\)-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces
• Nonlinear relaxed cocoercive variational inclusions involving \((A,\eta)\)-accretive mappings in Banach spaces
• Sensitivity analysis for generalized strongly monotone variational inclusions based on the \((A,\eta )\)-resolvent operator technique
• A system of variational inclusions with \(P\)-\(\eta \)-accretive operators
• A new system of variational inclusions with \((H,\eta)\)-monotone operators in Hilbert spaces
• Approximating fixed points of total asymptotically nonexpansive mappings
• Split feasibility problem for quasi-nonexpansive multi-valued mappings and total asymptotically strict pseudo-contractive mapping
• \(H(\cdot ,\cdot )\)-accretive operator with an application for solving variational inclusions in Banach spaces
• On weak and strong convergence of an explicit iteration process for a total asymptotically quasi-I-nonexpansive mapping in Banach space
• Inequalities in Banach spaces with applications
• Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
• A perturbed algorithm for strongly nonlinear variational-like inclusions
• An Algorithm for Solving the Variational Inequality Problem Over the Fixed Point Set of a Quasi-Nonexpansive Operator in Euclidean Space
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Existence and algorithm of solutions for generalized mixed implicit quasi-variational inequalities

This page was built for publication: System of generalized variational-like inclusions involving \((P,\eta)\)-accretive mapping and fixed point problems in real Banach spaces