On almost coincidence points in generalized convex spaces.
On an integral equation with modified argument.
On approximation of compact multivalued maps in topological vector spaces.
On best proximity pair theorems and fixed-point theorems.
On calculation of the relative index of a fixed point in the nondegenerate case.
On Caristi's fixed point theorem in F-type topological spaces.
On common fixed and periodic points of commuting functions.
On common fixed point theorems for three and four self mappings satisfying contractive conditions
In this contribution, we discuss some unique common fixed point theorems for three and four occasionally weakly compatible mappings satisfying different types of contractive condition.
On common fixed points.
On common fixed points in locally convex topological vector space.
On common fixed points of asymptotically nonexpansive mappings in the intermediate sense
Some strong convergence theorems of common fixed points of asymptotically nonexpansive mappings in the intermediate sense are obtained. The results presented in this paper improve and extend the corresponding results in Huang, Khan and Takahashi, Chang, Schu, and Rhoades.
On common fixed points of compatible mappings in metric and Banach spaces.
On common fixed points of nonself two point and two set Coincidentally Commuting maps in Metrically convex metric spaces
On common fixed points of pairs of a single and a multivalued coincidentally commuting mappings in -metric spaces.
On contraction-type mappings on a 2-normed space
On contractive mappings in metric spaces
On coupled random fixed point results in partially ordered metric spaces
On Differential Inclusions with Unbounded Right-Hand Side
2000 Mathematics Subject Classification: 58C06, 47H10, 34A60.The classical Filippov’s Theorem on existence of a local trajectory of the differential inclusion [x](t) О F(t,x(t)) requires the right-hand side F(·,·) to be Lipschitzian with respect to the Hausdorff distance and then to be bounded-valued. We give an extension of the quoted result under a weaker assumption, used by Ioffe in [J. Convex Anal. 13 (2006), 353-362], allowing unbounded right-hand side.
On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions
We consider the existence of extremal solutions to second order discontinuous implicit ordinary differential equations with discontinuous implicit boundary conditions in ordered Banach spaces. We also study the dependence of these solutions on the data, and cases when the extremal solutions are obtained as limits of successive approximations. Examples are given to demonstrate the applicability of the method developed in this paper.
On discontinuous quasi-variational inequalities
In this paper, we derive a general theorem concerning the quasi-variational inequality problem: find x̅ ∈ C and y̅ ∈ T(x̅) such that x̅ ∈ S(x̅) and ⟨y̅,z-x̅⟩ ≥ 0, ∀ z ∈ S(x̅), where C,D are two closed convex subsets of a normed linear space X with dual X*, and and are multifunctions. In fact, we extend the above to an existence result proposed by Ricceri [12] for the case where the multifunction T is required only to satisfy some general assumption without any continuity. Under a kind of Karmardian’s...