[PDF] Top 20 On common fixed points in modular vector spaces

... In recent years, there was an surge of interest in the study of electrorheological fluids, sometimes referred to as ‘smart fluids’ (for instance lithium polymetachrylate). For these fluids, modeling with sufficient accuracy ... See full document

... Following Grabiec’s approach to fuzzy contraction principle, the purpose of this note is to obtain common fixed point theorems for asymptotically commuting maps on fuzzy metric spaces...[r] ... See full document

... normed spaces and cones have applications in applied mathematics, for instance, in using Newton’s approximation method 1–4 and in optimization theory ...K-normed spaces were introduced in the mid-20th ... See full document

... Throughout this paper, (M, d) will stand for a metric space. Suppose that there exists a family F of metric segments such that any two points x, y in M are endpoints of a unique metric segment [x, y] ∈ F ([x, y] ... See full document

... considering spaces of functions with some growth properties different from the power type growth control provided by the L p ...function spaces defined as ... See full document

... fixed points of asymptotic pointwise ρ-nonexpansive mappings acting in modular function ...of common fixed points of semigroups of nonexpansive (in a modular sense) mappings acting in ... See full document

... 2-metric spaces, and many authors discussed and obtained fixed point or common fixed point theorems on 2-metric spaces, see [15-21] and ...Banach fixed point theory. But, few ... See full document

... We begin with the following theorem that gives the existence of a fixed point for monotone multivalued mappings in modular spaces endowed with a graph. The key feature in this theorem is that the ... See full document

... Proposition 2.2. Let X be a modular space with a graph G. If a mapping from X into itself satisfies (B1) (respectively, (B2)) for G, then it satisfies (B1) (respectively, (B2)) for G. In particular, a e Banach ... See full document

... has no fixed point. Also, a µ-contraction T from an incomplete subset C of PM- space X into itself need not have a fixed point. In light of Lemma 1, this can be easily seen via removing the only ... See full document

... derived common fixed point for these maps. The first paper [] on modular function spaces was published in ...in modular function ...of modular metric spaces in [, ... See full document

... Nemeth introduced the notion of order weakly L-Lipschitz mapping and employed this concept to obtain nontrivial solutions of nonlinear complementarity problems. In this article, we shall extend this concept to two ... See full document

... of common fixed points with different hypotheses on two pairs of selfmaps in which one pair is compatible, reciprocally continuous and the other one is weakly ... See full document

... fixed points and other results, in the case of cone spaces with non-normal solid cones, cannot be provided by reducing to metric spaces, because in this case neither of the conditions of Lemmas - in ... See full document

... the common fixed point problems for mappings with quasi-contractive type ...metric spaces, but some authors in references discussed the same problems for contractive or Lipschitz ... See full document

... With the aid of the simplicial approximation property, we show that every admissible multivalued map from a compact convex subset of a complete metric linear space into itself has a fixed point. From this fact we ... See full document

... A contradiction, therefore Px = Ry, i.e. Px = Sx = Ry = Ty. Suppose that there is a another point z such that Pz = Sz then by (3) we have Pz = Sz = Ry = Ty, so Px=Pz and w = Px = Sx is the unique point of coincidence of ... See full document

... are fixed point free nonexpansive mppings on, even weakly compact, subsets of uniformly convex Banach ...in modular function spaces the existence of fixed points of multivalued, more ... See full document

... Banach spaces, while Hussain and Khamsi extended this result to metric spaces [] and Khamsi and Kozlowski to modular function spaces [, ...fixed points of some iterative algorithms, ... See full document

... Banach fixed point theorem on complete metric spaces specifically, each contraction self-map of a complete metric space has a unique fixed point has been extended and generalized in different ...these ... See full document