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The purpose of this paper is to introduce and study a new system of set-valued varia-tional inclusions with H-monotone operators in Hilbert spaces. By using the resolvent operator method associated with H-monotone operator due to Fang and Huang, we construct a new iterative algorithm for solving this kind of system of set-valued variational inclusions. We(More)
In this paper, we introduce and study a new class of generalized set-valued nonlinear quasi-variational-like inequalities in Hilbert spaces and construct some iterative algorithms to compute the approximating solutions of this class of generalized set-valued nonlinear quasi-variational-like inequalities by using the auxiliary principle technique. We also(More)
BACKGROUND In the last decade, there has been heightened awareness that pain management needs to be a priority for all health care settings and clinicians. The article will overview practice guidelines and new technology, and assess their impact on pain relief in inpatient and outpatient surgeries from a patient's perspective. METHODS Literature was(More)
In this paper, we introduce and study a new class of generalized nonlinear mixed quasi-variational inequalities. Using the KKM technique, we prove the existence and uniqueness of solutions for this class of generalized nonlinear mixed quasi-variational inequalities in reflexive Banach spaces. Our results include the main results of Verma [1], [2] as special(More)
AIM To evaluate the effect of subinhibitory concentrations of licochalcone A (LicA) on alpha-toxin secretion in Staphylococcus aureus. METHODS AND RESULTS A haemolysin assay was used to investigate the haemolytic activities in culture supernatants of both methicillin-sensitive and methicillin-resistant Staph. aureus isolates cultured with graded(More)
Suppose that K is a nonempty closed convex subset of a real uniformly convex and smooth Banach space E with P as a sunny nonexpansive retraction. Let T1,T2 : K → E be two weakly inward and asymptotically nonexpansive mappings with respect to P with sequences {Kn},{ln} ⊂ [1,∞), limn→∞kn = 1, limn→∞ln = 1, F(T1)∩ F(T2) = {x ∈ K : T1x = T2x = x} =∅,(More)
In this paper, a new class of strongly nonlinear quasi-variational inclusions involving H-accretive operator in Banach spaces is studied, which includes many variational inequal-ity(inclusion) and complementarity problems as special cases. By using the resolvent operator technique for H-accretive operator due to Fang and Huang, an existence and uniqueness(More)
In this paper, we introduce and study a new class of generalized nonlinear quasi-variational-like inequalities for set-valed mappings in Banach spaces. Using the KKM technique, we prove the existence and uniqueness of solution for this class of generalized nonlinear quasi-variational-like inequalities for set-valued mappings in Banach spaces. Our results(More)
In this paper, a new system of general nonlinear variational inclusions involving (A, η)-accretive mappings in Banach spaces is introduced and studied, which includes many variational inequality (inclusion) problems as special cases. By using the resolvent operator technique for (A, η)-accretive mapping due to Lan-Cho-Verma, an existence and uniqueness(More)