[PDF] Top 20 Coincidence Theorems, Generalized Variational Inequality Theorems, and Minimax Inequality Theorems for the -Mapping on -Convex Spaces

... Suppose that the conditions (1) and (2) are false. Then Sx = φ for each x ∈ X and H y = φ for each y ∈ Y . So, we conclude that T is a Φ-mapping with a companion mapping S and F is a Φ -mapping with ... See full document

... The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces are ...convergence theorems of the rules are proved under certain assumptions imposed on the sequences of ...of ... See full document

... imax inequality, which have played very important roles in the study of modern nonlinear ...original convex subsets of topological vector ...vex spaces by Lassonde [], and to spaces having ... See full document

... Fan’s minimax theorem in topological spaces without linear structure have been considered by Cheng and Lin [2], Lin et ...space- generalized interval space, which has no linear structure and contains ... See full document

... (KKM mapping principle) Suppose that E is a complete CAT(0) space with the convex hull finite property and X is a nonempty subset of ...KKM mapping with closed ... See full document

... Problem (.) is very general in the sense that it includes, as special cases, optimization problems, variational inequalities, minimax problems, the Nash equilibrium problem in noncooperative games and ... See full document

... accretive mapping to accretive and Lipschitz continuous mapping in uniformly convex and 2-smooth Banach space and prove a strong convergence result for finding common element of the set of fixed ... See full document

... of variational inequalities for an inverse-strongly monotone mapping and in the set of fixed points of nonexpansive mappings or strict pseudocontractions; see [–] and the references ...of ... See full document

... local convex Hausdorff topological vector spaces, respectively, Z be a local convex Hausdorff topological vector space, S ⊂ Z be a closed convex pointed cone with int S = ∅, and let Z ∗ denote ... See full document

... S-KKM mapping with respect to ...S-KKM mapping F with respect to T, the family { F(x) : x ∈ X } has the finite intersection property, then T is said to have the S-KKM ... See full document

... It is well known that if C is nonempty bounded closed and convex subset of H, then the fixed point set of the nonexpansive mapping S is nonempty, see [6] more details. Recently, fixed point problems of ... See full document

... Fan’s minimax inequality [33] has played very important roles in the study of modern nonlinear analysis and especially in mathematical ...general minimax theorems and extensions of these ... See full document

... of generalized nonlinear variational-like inequalities, which includes these variational inequalities and variational-like inequalities due to Bose, Cubiotti, Dien, Ding, Ding and Tarafdar, ... See full document

... the generalized (ϕ, ψ )-weak com- muting condition in partially ordered G-metric ...fixed-point theorems for three mappings in symmetric G-fuzzy metric ...metric spaces and proved two common ... See full document

... The mapping F is said to have the mixed monotone property if F(x, y) is monotone non-decreasing in x and is monotone non-increasing in y, that is, for any x, y ∈ ... See full document

... new generalized fixed point theorems for multimaps in locally convex spaces have been proved, and as their results, we imply some notable theorems such as Markov-Kakutani and Schauder ... See full document

... The difference of a symmetric and a metric comes from the triangle inequality. Actually a symmetric space need not be Hausdorff. In order to obtain fixed-point theorems on a symmetric space, we need some ... See full document

... nondifferentiable minimax programming problem ( P  ) , and formulated a unified higher-order dual of (P  ) , and established weak, strong and strict converse duality theo- rems under higher-order ( , , , ) F   ... See full document

... normed spaces X, Y , see [15] and [11], ...topological spaces, one can proceed similarly, by working with nets instead of ...topological spaces (see [6, Chapter VI, Section ... See full document

... -increasing mapping satisfying generalized nonlinear contractive condition of Boyd and Wong [] on an ordered metric space X in two different directions namely: in case X is complete or alternately one of ... See full document