[PDF] Top 20 An iterative algorithm for generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces

... 4. Existence and convergence results. In this section, we prove the existence of a so- lution for GNVIP and the convergence of iterative sequences generated by Algorithm 3.5. Definition 4.1 . The mapping g ... See full document

... smooth Banach space and T E be a strongly accretive and Lipschitz continuous with positive constants  and  ...the strongly accretive and Lipschitz continuous with positive constants p ... See full document

... of variational inequalities, Agarwal et ...of generalized nonlinear mixed quasivariational inclusions and investigated the sensitivity analysis of solutions for this system of ... See full document

... the generalized m-accretive mapping and give the definition of the resolvent operator for the generalized m-accretive mappings in Banach ...the generalized ... See full document

... of generalized nonlinear mixed ordered variational inequalities systems with ordered Lipschitz continuous mappings in ordered Banach ...B-restricted-accretive mappings, a ... See full document

... a Banach space E with the dual E ∗ , let T : C → E ∗ be a continuous mapping, and let S : C → C be a relatively nonexpansive ...of generalized projection operator we study the variational inequality ... See full document

... (A,η)-accretive mappings and the resolvent operators associated with (A,η)-accretive mappings due to Lan et ...multivalued nonlinear variational inclusion problems with ... See full document

... general nonlinear random A-maximal m-relaxed h-accretive (so called (A, h)-accretive [52]) equations with random relaxed cocoercive mappings and random fuzzy mappings in ... See full document

... of generalized nonlinear variational inclusions involving (A,η)-monotone mappings in the framework of Hilbert spaces is introduced and then based on the gen- eralized resolvent ... See full document

... - accretive mappings in real Banach space and establish some properties of η -proximal point mappings for η - m -accretive ...general variational-like inclusions in real ... See full document

... generalized strongly nonlinear mixed variational-like ...the generalized strongly nonlinear mixed variational-like inequality involving strongly monotone, ... See full document

... of variational inequalities, Agarwal et ...of generalized nonlinear mixed quasivariational inclusions and in- vestigated the sensitivity analysis of solutions for this system of ... See full document

... random nonlinear generalized variational inclusions involving random fuzzy mappings and set-valued mappings with H · , · -monotonicity in two Hilbert spaces and develop a ... See full document

... general nonlinear random equations with random fuzzy mappings in Banach ...the generalized random iterative algorithm for this nonlinear random equations with random fuzzy ... See full document

... of variational inequality problems, were introduced and ...scalar variational inequalities and Pang showed that the traffic equilibrium problem, the spatial equilibrium problem, the Nash equilibrium, and the ... See full document

... in variational inequality theory is the development of efficient and implementable iterative algorithms for solving various classes of variational inequalities and variational ...of ... See full document

... of variational inequalities, called variational inclusions, have been extensively studied and generalized in different directions to study a wide class of problems arising in mechanics, ... See full document

... Let K be a nonempty subset of an arbitrary Banach space X and X ∗ be its dual space. The symbols D(T ), R(T ) and F(T ) stand for the domain, the range and the set of fixed points of T respectively (for a ... See full document

... It is worth to mention that considerable research efforts have been devoted, especially within the past long years or so, to developing constructive techniques for the determi- nation of the kernels of accretive ... See full document

... The purpose of this paper is to introduce a general iterative method for finding solutions of a general system of variational inclusions with Lipschitzian relaxed cocoercive mappings. ... See full document