Results 51 to 60 of about 4,770,398 (82)
In this study, we introduce a novel class of mappings called orthogonal extended interpolative enriched Ćirić–Reich–Rus type ψF‐contractions and establish fixed‐point results within the framework of orthogonal complete convex extended b‐metric spaces. The unique fixed point is approximated using a Krasnoselskii‐type iterative method. To demonstrate the
Shivani Kukreti+4 more
wiley +1 more source
A note on complementarity problem
In this paper we prove a result of complementarity problem where compact condition is somewhat relaxed.
Antonio Carbone
wiley +1 more source
On Almost (α, θρ)‐Contractions on Quasimetric Space and Their Fixed Points
In this paper, we introduce the concept of almost (α, θρ)‐contraction mappings on quasimetric spaces. Then, under certain conditions, we present some fixed‐point results for almost (α, θρ)‐contraction mappings with respect to ω and γ on both left K‐complete and left M‐complete quasimetric spaces.
Gonca Durmaz Güngör+4 more
wiley +1 more source
Some results on invariant approximation
In this paper results on Invariant approximations, extending and unifying earlier results are given. Several interesting results are derived as corollaries.
Antonio Carbone
wiley +1 more source
A characterization of metric completeness
A proof is given of a theorem, relevant to fixed-point theory, which implies that a metric space (X, d) is complete if and only if, for each continuous function h: X -* R bounded below on X, there is a point x0 such that h(xo) h(x) d(xn, x) > 0 ...
J. D. Weston
semanticscholar +1 more source
CONTINUITY OF THE TYCHONOFF FUNCTOR τ [PDF]
Let C be a class of the inverse systems X = {Xλ, fαβ,A}. We say that a functor F is C-continuous if F(limX) is homeomorphic with lim F(X). In the present paper the continuity of Tychonoff functor τ is investigated.
Ivan Lončar
core +1 more source
This paper presents Leray–Schauder alternatives and a topological transversality (homotopy) theorem for compact upper semicontinuos maps having (strongly) convexly totally bounded ranges.
O’Regan Donal
doaj +1 more source
In this paper, by combining a modified extragradient scheme with the viscosity approximation technique, an iterative scheme is developed for computing the common element of the set of fixed points of a sequence of asymptotically nonexpansive mappings and
Petruşel Adrian, Sahu D.R., Sagar Vidya
doaj +1 more source
A multivalued version of Krasnoselskii’s theorem in generalized Banach spaces
The purpose of this paper is to extend Krasnoselskii’s fixed point theorem to the case of generalized Banach spaces for multivalued operators. As application, we will give an existence result for a system of Fredholm-Volterra type differential inclusions.
Petre Ioan-Radu
doaj +1 more source
Ishikawa iterative process for strongly pseudocontractive operators in arbitrary Banach spaces [PDF]
In this note we give a correction to the main result of Zhou in [14] on the convergence of the Ishikawa iteration process to a unique fixed point of a strongly pseudocontractive operator in arbitrary real Banach spaces.
J. S. Ume, Lj. Ćirić
core