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...

Some fixed point theorems and common fixed point theorem in Logarithmic convex structure areproved.

19 Problem 1: In all the examples seen in this paper, we have (P) = (P) if the latter is even, and (P) = (P) ? 1 otherwise. Could one nd a poset for which this is not the case? Problem 2: In all the examples of the article, the function takes all even values between 0 and (P). Can it be shown that this is always the case, that is, for any nite connected order P, the spectrum of is f0; 2 Problem...

state conditions under which there exist solutions to x = f(x) for the singlevalued function f or to Y E F(y ) for the set-valued mapping F. The prototype of the former is the contraction mapping theorem, while that of the latter is the Kakutani fixed point theorem. These results, as well as generalizations, applications, and other references, are surveyed in [ 14 ]. A representative sample of ...

The purpose of this article is to introduce the notion of cone valued measure of noncompactness. Our theoretical approach generalizes recent results for cone measure of noncompactness. For the proofs of our results we use the famous Schauder-Tichonov Theorem as well as Robert Cauty theorem in the new framework.

In this paper, we introduce some concepts in partial b-metric spaces. We establish fixed point theorems for some new generalized α − ψ type contractive mappings in the setting of partial b-metric spaces. Some examples are presented to illustrate our obtained results. Finally, we show that the results generalize some recent results. c ©2016 All rights reserved.

in this article, we apply two new fixed point theorems to investigate the existence of mild solutions for a nonlocal fractional cauchy problem with an integral initial condition in banach spaces.

motivated by samet et al. [nonlinear anal., 75(4) (2012), 2154-2165], we introduce the notions of $alpha$-$phi$-fuzzy contractive mapping and $beta$-$psi$-fuzzy contractive mapping and prove two theorems which ensure the existence and uniqueness of a fixed point for these two types of mappings. the presented theorems extend, generalize and improve the corresponding results given in the literature.

the aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. our result is generalize and extends the corresponding result of jhade et al. [p.k. jhade, a.s. saluja and r. kushwah, coincidence and fixed points of ...