begin{abstract} in this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of hilbert spaces. we prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. the results present...

‎we prove the existence of ppf dependent coincidence points for a pair of single-valued and multi-valued mappings satisfying generalized contractive conditions in banach spaces‎. ‎furthermore, the ppf dependent fixed point and ppf dependent common fixed point theorems for multi-valued mappings are proved.

We transfer the lower semi-continuity of Siegel disks with fixed Brjuno type rotation numbers to geometric limits. Here, we restrict to Lavaurs maps associated to quadratic polynomials with a parabolic fixed point.

In this paper we consider diffeomorphisms of C? of the special form F(z, W) = (w, --z + ~G(w)). For such maps the origin is a parabolic fixed point. Under certain hypotheses on G we prove the existence of a domain R c @ with 0 E aR and of invariant complex cnrves 20 = f(t) and zv = g(z), z E R, for F-l and F, such that Fhn(z,f(z)) t 0 and F”(z,g(z)) + 0 as n + co.

A new system of generalized mixed quasivariational inclusions for short, SGMQVI with relaxed cocoercive operators, which develop some preexisting variational inequalities, is introduced and investigated in Banach spaces. Next, the existence and uniqueness of solutions to the problem SGMQVI are established in real Banach spaces. From fixed point perspective, we propose some new iterative algorit...

Based on a common article of the authors, we are concerned with solving monotone inclusion problems expressed by the sum of a set-valued maximally monotone operator with a single-valued maximally monotone one and the normal cone to the nonempty set of zeros of another set-valued maximally monotone operator. Depending on the nature of the single-valued operator, we propose two iterative penalty ...

In this work we propose a new splitting technique, namely Asymmetric Forward-Backward-Adjoint Splitting (AFBA), for solving monotone inclusions involving three terms, a maximally monotone, a cocoercive and a bounded linear operator. Classical operator splitting methods, like DouglasRachford (DRS) and Forward-Backward splitting (FBS) are special cases of our new algorithm. Among other things, AF...

In this paper, we unify, extend and generalize some results on coupled fixed point theorems of generalized φ- mappings with some applications to fixed points of integral type mappings in cone metric spaces.