Results 21 to 30 of about 289 (78)

Some questions in metric fixed point theory, by A. W. Kirk, revisited [PDF]

, 2012
In this survey, we comment on the current status of several questions in Metric Fixed Point Theory which were raised by W. A.
Domínguez Benavides, Tomás
core   +1 more source

STRONG CONVERGENCE THEOREM FOR UNIFORMLY L-LIPSCHITZIAN MAPPING OF GREGUS TYPE IN BANACH SPACES [PDF]

, 2021
In this paper, we introduced a new mapping called Uniformly L-Lipschitzian mapping of Gregus type, and used the Mann iterative scheme to approximate the fixed point.
Adefemi, Adeniran T., Adesanmi, Mogbademu A., Joshua, Olilima O.   +2 more
core   +1 more source

Data dependence results of a new multistep and S-iterative schemes for contractive-like operators [PDF]

, 2012
In this paper, we prove that convergence of a new iteration and S-iteration can be used to approximate to the fixed points of contractive-like operators.
Gursoy, Faik, Karakaya, Vatan, Rhoades, Billy E.   +2 more
core   +1 more source

Proximal quasi-normal structure in convex metric spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
We consider, in the setting of convex metric spaces, a new class of Kannan type cyclic orbital contractions, and study the existence of its best proximity points.
Gabeleh Moosa
doaj   +1 more source

Fixed points of Suzuki type generalized multivalued mappings in fuzzy metric spaces with applications [PDF]

, 2015
The aim of this paper is to introduce a class of multivalued mappings satisfying a Suzuki type generalized contractive condition in the framework of fuzzy metric spaces and to present fixed point results for such mappings.
A George, A George, A Razani, AD Ray, B Damjanović, B Schweizer, Basit Ali, BH Hosseini, D Mihet, D Mihet, D Mihet, D Ðorić, HK Pathak, I Kramosil, J Rodríguez-López, JX Fang, LA Zadeh, M Abbas, M Grabiec, M Kikkawa, M Kikkawa, Mujahid Abbas, Naeem Saleem, R Baskaran, R Bellman, R Bellman, R Kannan, RH Haghi, S Banach, S Chauhan, S Jain, SB Nadler, SL Singh, SL Singh, T Som, T Suzuki, TC Bhakta, V Gregori, V Gregori, V Gregori, Y Feng, Y Liu, Z Liu, Z Liu, Zahid Raza   +44 more
core   +2 more sources

Iterative approximation of common attractive points of further generalized hybrid mappings

, 2017
Our purpose in this paper is (i) to introduce the concept of further generalized hybrid mappings (ii) to introduce the concept of common attractive points (CAP) (iii) to write and use Picard-Mann iterative process for two mappings.
Khan, Safeer Hussain
core   +1 more source

Common Fixed Point Results for Occasionally Weakly Compatible Maps in G-Symmetric Spaces [PDF]

, 2014
The notion of a G-symmetric space is introduced and the common fixed points for some pairs of occasionally weakly compatible maps satisfying some contractive conditions in a G-symmetric space are proved.
Eke, Kanayo Stella, Olaleru, J.O.
core   +1 more source

Fixed Point Theorems on Controlled Orthogonal δ‐Metric‐Type Spaces and Applications to Fractional Integrals

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this article, we introduce a notion of controlled orthogonal δ‐metric‐type spaces with an example. Further, we prove a contraction theorem and a generalized fixed point theorem in controlled orthogonal δ‐metric‐type spaces. Finally, we illustrate two applications of the obtained fixed point results on the Atangana–Baleanu fractional integrals and ...
Benitha Wises Samuel, Gunaseelan Mani, Purushothaman Ganesh, Sabri T. M. Thabet, Imed Kedim, Samuel Nicolay   +5 more
wiley   +1 more source

Extensions of Göhde and Kannan Fixed Point Theorems in Strictly Convex Banach Spaces

Axioms
Let nonempty subsets E and F of a Banach space X be given, along with a mapping S:E∪F→E∪F defined as noncyclic when S(E)⊆E and S(F)⊆F. In this case, an optimal pair of fixed points is defined as a point (p,q)∈E×F where p and q are fixed points of S that ...
Moosa Gabeleh, Maggie Aphane
doaj   +1 more source

Best Proximity Pair Theorems for Noncyclic Mappings in Banach and Metric Spaces [PDF]

, 2016
Let A and B be two nonempty subsets of a metric space X. A mapping T : A[B ! A[B is said to be noncyclic if T(A) A and T(B) B. For such a mapping, a pair (x; y) 2 A B such that Tx = x, Ty = y and d(x; y) = dist(A;B) is called a best proximity ...
Fernández León, Aurora, Gabeleh, M.
core