[PDF] Top 20 General Nonlinear Random Equations with Random Multivalued Operator in Banach Spaces

... various fields of mathematics, physics, economics, regional, and engineering sciences. The ideas and techniques are being applied in a variety of diverse areas of sciences and prove to be productive and innovative. In ... See full document

... of general nonlinear random equations with random fuzzy mappings in Banach ...resolvent operator technique for H, η-accretive ...generalized random iterative ... See full document

... a random version of the theory of contractor introduced by Altman, we introduce and study a system of nonlinear operator equations for a mixed family of fuzzy and crisp operators in ... See full document

... new random operator called the generalized φ-weakly con- traction of the rational ...new random operator includes those studied by Khan et ...the random versions of some known faster ... See full document

... of general nonlinear random A- maximal m -relaxed h-accretive equations with random relaxed cocoercive mappings and random fuzzy mappings in q -uniformly smooth Banach ... See full document

... to multivalued contraction mappings. Random fixed point theorems with an application to Random differential equations in Banach spaces are obtained by Itoh ...several ... See full document

... Hilbert spaces, H -accretive operators, generalized m- accretive mappings and (H ,η)-accretive operators in Banach spaces, and their resolvent operators, ...Hilbert spaces, which are a special ... See full document

... functional equations is related to a question of Ulam [1] concerning the stability of group homomorphisms and affirmatively answered for Banach spaces by Hyers ... See full document

... reflexive Banach space with the dual space X ∗ , M : X → 2 X ∗ a maximal monotone mapping, and A : X → X a bounded, coercive, hemicontinuous, and relaxed monotone ...a general A-monotone ...reflexive ... See full document

... Complete probability measure space, Banach spaces, -algebras, Borel subsets, random variable, random operator, separable Banach space, random generalized nonlinear ntraion, upper semicon[r] ... See full document

... In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces.. A random Hammerstein integral eq[r] ... See full document

... hybrid random differential equations with the linear perturbation of second ...of random solution for the considered perturbed random differential ...extremal random solution is ... See full document

... for all xX. Also, if for each xX the function f (tx) is continuous in tR, then C is R-linear. The case of the existence of unique additive mapping had been obtained by T. Aoki [28]. In 1994, P. Gavruta [18] following ... See full document

... the nonlinear random equations involving the random operators in view of their need in dealing with probabilistic models, which arise in biological, physical, and system sci- ences and other ... See full document

... on random varia- tional inequalities [9-14], in this paper we consider a class of set valued nonlinear random implicit quasi varia- tional inclusions and a class of random proximal ... See full document

... Theorem 1.1 see 1, Theorem 4.2. Let E be a nonempty bounded closed convex subset of a uniformly Banach space X, and let t : E → E, and T : E → KCE be a nonexpansive mapping and a multivalued nonexpansive ... See full document

... the general n-dimensional additive functional equation for n ≥ 2 and then investigate the stability in random normed spaces and in non-Archimedean spaces, moreover, the stability for functions ... See full document

... differential equations has lately years been an object of increasing interest because of its vast applicability in several fields including mechanics, electrical engineering, biology, medicine, and so ... See full document

... and multivalued mappings in CAT0 spaces has been rapidly developed and many of papers have appeared see, ...CAT0 spaces can be applied to any CATκ space with κ ≤ 0 since any CATκ space is a CAT κ ... See full document

... 6 Ya. I. Alber, “The penalty method for variational inequalities with nonsmooth unbounded operators in Banach space,” Numerical Functional Analysis and Optimization, vol. 16, no. 9-10, pp. 1111–1125, 1995. 7 S. S. ... See full document