Results 11 to 20 of about 704 (85)

Some fixed point results on Ultrametric Space

Topological Algebra and its Applications, 2022
The present paper deals with new fixed point theorems by means of F−contraction. The results are present in spherically complete ultrametric space for single valued rational type mappings.
Acar Özlem
doaj   +1 more source

The fixed point property in direct sums and modulus R(a,X) [PDF]

, 2012
We show that the direct sum of Banach spaces $X_{1},..., X_{r}$ with a strictly monotone norm has the weak fixed point property for nonexpansive mappings whenever $M(X_{i})>1$ for each $i=1,...,r$. In particular, $(X_{1} \oplus ...
Wiśnicki, Andrzej
core   +1 more source

Topological Transversality Principles and General Coincidence Theory

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
This paper presents general topological coincidence principles for multivalued maps defined on subsets of completely regular topological spaces.
O’Regan Donal
doaj   +1 more source

Fixed-Circle Problem on S-Metric Spaces with a Geometric Viewpoint [PDF]

, 2018
Recently, a new geometric approach which is called the fixed-circle problem has been gained to fixed-point theory. The problem is introduced and studied using different techniques on metric spaces.
Taş, Nihal, Özgür, Nihal Yilmaz
core   +2 more sources

Nontrivial solutions of boundary value problems for second order functional differential equations [PDF]

, 2015
In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine ...
Calamai, Alessandro, Infante, Gennaro
core   +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

The modified Ishikawa iteration process with errors in CAT(0) spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
In this article, Δ-convergence and strong convergence of the modified Ishikawa iteration process with errors are established for continuous mappings of asymptotically nonexpansive type in CAT(0) spaces. Our results extend and improve the previous results
Ranjbar Sajad
doaj   +1 more source

Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b−metric space. To demonstrate the theorems, we employ a general form of (α,
Büyükkaya Abdurrahman, Öztürk Mahpeyker   +1 more
doaj   +1 more source

Strong convergence of a composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we prove the strong convergence of the composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces and compare our results with several recent results in this subject.
Ranjbar Sajad
doaj   +1 more source

Common fixed points of set‐valued mappings

International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 6, Page 411-415, 2001., 2001
The main purpose of this paper is to obtain a common fixed point for a pair of set‐valued mappings of Greguš type condition. Our theorem extend Diviccaro et al. (1987), Guay et al. (1982), and Negoescu (1989).
M. R. Singh, L. S. Singh, P. P. Murthy
wiley   +1 more source