Results 41 to 50 of about 2,648,949 (108)

On some fixed point theorems

International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 1, Page 61-64, 1989., 1987
In this paper we prove a fixed point theorem for inward mappings uing a well‐known result of Ky Fan type in Hilbert space setting.
D. Roux, S. P. Singh
wiley   +1 more source

Coupled and tripled coincidence point results without compatibility

, 2012
In this article, we introduce a new and simple approach to coupled and tripled coincidence point theory. By using our method, we establish coupled coincidence point results of Lakshmikantham and Ćirić, Binayak et al., Alotaibi and Alsulami without any ...
N. Hussain, A. Latif, Masood Hussain Shah   +2 more
semanticscholar   +1 more source

Local expansions and accretive mappings

International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 3, Page 419-429, 1983., 1983
Let X and Y be complete metric spaces with Y metrically convex, let D ⊂ X be open, fix u0 ∈ X, and let d(u) = d(u0, u) for all u ∈ D. Let f : X → 2Y be a closed mapping which maps open subsets of D onto open sets in Y, and suppose f is locally expansive on D in the sense that there exists a continuous nonincreasing function c : R+ → R+ with ∫+∞c(s)ds =
W. A. Kirk
wiley   +1 more source

A fixed point theorem for contraction mappings

International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 2, Page 301-304, 1982., 1981
Let S be a closed subset of a Banach space E and f : S → E be a strict contraction mapping. Suppose there exists a mapping h : S → (0, 1] such that (1 − h(x))x + h(x)f(x) ∈ S for each x ∈ S. Then for any x0 ∈ S, the sequence {xn} in S defined by xn+1 = (1 − h(xn))xn + h(xn)f(xn), n ≥ 0, converges to a u ∈ S. Further, if ∑h(xn) = ∞, then f(u) = u.
V. M. Sehgal
wiley   +1 more source

Fixed Point Index for Simulation Mappings and Applications

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, we construct the fixed point index for a class of contractive mapping defined by a simulation mapping and a measure of noncompact-ness noted by Zµ− contraction maps.
Benmezaï Abdelhamid, Hammache Karima, Melouane Nassima   +2 more
doaj   +1 more source

Some fixed point theorems for set valued directional contraction mappings

International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 3, Page 455-460, 1980., 1980
Let S be a subset of a metric space X and let B(X) be the class of all nonempty bounded subsets of X with the Hausdorff pseudometric H. A mapping F : S → B(X) is a directional contraction iff there exists a real α ∈ [0, 1) such that for each x ∈ S and y ∈ F(x), H(F(x), F(z)) ≤ αd(x, z) for each z ∈ [x, y]∩S, where [x, y] = {z ∈ X : d(x, z) + d(z, y ...
V. M. Sehgal
wiley   +1 more source

Interpolative Rus-Reich-Ćirić Type Contractions via Simulation Functions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we introduce the notion of interpolative Rus-Reich-Ćirić type 𝒵- contractions in the setting of complete metric space. We also consider some immediate consequences of our main results.
Karapınar Erdal, Agarwal Ravi P.
doaj   +1 more source

Global optimum solutions for a system of (k, ψ)-Hilfer fractional differential equations: Best proximity point approach

Demonstratio Mathematica, 2023
In this article, a class of cyclic (noncyclic) operators are defined on Banach spaces via concept of measure of noncompactness using some abstract functions. The best proximity point (pair) results are manifested for the said operators. The obtained main
Patle Pradip Ramesh, Gabeleh Moosa, De La Sen Manuel   +2 more
doaj   +1 more source

A pointwise contraction criteria for the existence of fixed points

International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 3, Page 473-480, 1979., 1979
Let S be a subset of a metric space (X, d) and T : S → X be a mapping. In this paper, we define the notion of lower directional increment QT(x, y] of T at x ∈ S in the direction of y ∈ X and give sufficient conditions for T to have a fixed point when QT(x, Tx] < 1 for each x ∈ S. The results herein generalize the recent theorems of Clarke (Caned. Math.
V. M. Sehgal
wiley   +1 more source

Approximating Fixed Points of Nonself Contractive Type Mappings in Banach Spaces Endowed with a Graph

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
Let K be a non-empty closed subset of a Banach space X endowed with a graph G. We obtain fixed point theorems for nonself G-contractions of Chatterjea type.
Balog Laszlo, Berinde Vasile, Păcurar Mădălina   +2 more
doaj   +1 more source