We study the question of whether or not contractive representations of logmodular algebras are completely contractive. We prove that a 2-contractive representation of a logmodular algebra extends to a positive map on the enveloping C∗-algebra, which we show generalizes a result of Foias and Suciu on uniform logmodular algebras. Our proof uses non-commutative operator space generalizations of cl...

Abstract In this paper we introduce some new types of contractive mappings by combining Caristi contraction, ?iri?-quasi contraction and weak in the framework a metric space. We prove fixed point theorems for such type over complete spaces with help ? -diminishing property. Some examples are given strengthening hypothesis our established theorems.

It is shown that a theorem of E. Rakotch for locally contractive mappings can be deduced from Banach's contraction mapping theorem, and a counterexample to an assertion of R. D. Holmes concerning local radial contractions is given. Let (X, d) be a metric space, k G (0, 1), and g a mapping of X into X. If for each x G X there exists a neighborhood A^(x) of x such that for each u, v G N(x), d(g(u...

The paper proposes a novel event-triggered control scheme for nonlinear systems. Specifically, the closed-loop system is associated with pair of auxiliary input and output. output defined as derivative continuous-time function, while disturbance caused by sampling or equivalently integral over period. As result, it forms cyclic mapping from to via dynamics back integral. law constructed make co...

In order to solve domain equations over 1-bounded compact metric spaces, xed points of functors on categories of 1-bounded compact metric spaces are studied. Two categories of 1-bounded compact metric spaces are considered: KMS and KMS E. In both categories, objects are isomorphic if and only if they are isometric. As a consequence, provided that the operation of a domain equation can be extend...

we provide fuzzy quasi-metric versions of a fixed point theorem ofgregori and sapena for fuzzy contractive mappings in g-complete fuzzy metricspaces and apply the results to obtain fixed points for contractive mappingsin the domain of words.

Introduction/purpose: The aim of this paper is to present the concept generalized ∅-weak contractive condition involving various combinations d(x,y) in modular metric spaces. Methods: Conventional theoretical methods functional analysis. Results: This study presents result (Murthy & Vara Prasad, 2013) for a single-valued mapping satisfying ∅ -weak d(x,y). It setting spaces, and then it prov...

We give some fixed point theorems for firmly pseudo-contractive mappings defined on nonconvex subsets of a Banach space. We also prove some fixed point results for firmly pseudo-contractive mappings with unbounded nonconvex domain in a reflexive Banach space.

The class of strictly pseudo-contractive mappings is known to have more powerful applications than the nonexpansive in solving nonlinear equations such as inverse and equilibrium problems. Motivated by potency mappings, a generalized viscosity implicit algorithm constructed for finding their fixed points framework Banach spaces. strong convergence newly sequence point mapping obtained under som...