in this paper we investigate common xed point theorems for contraction mapping in fuzzy metric space introduced by gregori and sapena [v. gregori, a. sapena, on xed-point the- orems in fuzzy metric spaces, fuzzy sets and systems, 125 (2002), 245-252].

Some algorithms for nding common xed point of a family of mappings isconstructed. Indeed, let C be a nonempty closed convex subset of a uniformlyconvex Banach space X whose norm is Gateaux dierentiable and let {Tn} bea family of self-mappings on C such that the set of all common fixed pointsof {Tn} is nonempty. We construct a sequence {xn} generated by the hybridmethod and also we give the cond...

In [Fuzzy Sets and Systems 27 (1988) 385-389], M. Grabiec in- troduced a notion of completeness for fuzzy metric spaces (in the sense of Kramosil and Michalek) that successfully used to obtain a fuzzy version of Ba- nachs contraction principle. According to the classical case, one can expect that a compact fuzzy metric space be complete in Grabiecs sense. We show here that this is not the case,...

We suggest a explicit viscosity iterative algorithm for nding a common elementof the set of common xed points for W-mappings which solves somevariational inequality. Also, we prove a strong convergence theorem with somecontrol conditions. Finally, we apply our results to solve the equilibrium problems.Finally, examples and numerical results are also given.

In this paper, we have developed and analysed per models for recursive types, polymorphism, and subtyping. In developing our models, the emphasis has been on simplicity and on understanding the necessity of any conditions we impose on our structures. While similar structures have been given using the interpretation of constructive logic in a topos, the presentation of the models here is more di...

Symplectic Geometry has seen a rapid development since the 80's with the discovery of rigidity phenomena like the non-squeezing theorem based on Gromov's seminal theory of pseudo-holomorphic curves. A directly related development was Floer's method of using Morse theory in a new way, known as Floer homology, in order to solve the Arnold conjecture. In the 60's Arnold formulated his conjecture b...

Suucient conditions for controllability of semilinear integrodif-ferential systems in a Banach space are established. The results are obtained using the asymptotic xed-point theorem for k-set contractions .

In this paper we establish existence and regularity of positive solutions for a singular quasilinear elliptic system with competitive structure. The approach is based on comparison properties, a priori estimates and the Schauder’s …xed point theorem.

e study of dynamic equations on time scales goes back to the 1989 Ph.D. thesis of Hilger [1, 2] and is currently an area of mathematics receiving considerable attention [3– 7]. Although the basic aim of the theory of time scales is to unify the study of differential and difference equations in one and the same subject, it also extends these classical domains to hybrid and in-between cases. A g...

Many questions concerning the semantics of disjunctive databases and of logic pro gramming systems depend on the xed points of various multivalued mappings and operators determined by the database or program We discuss known versions for mul tivalued mappings of the Knaster Tarski theorem and of the Banach contraction map ping theorem and formulate a version of the classical xed point theorem s...