Results 71 to 80 of about 5,560 (184)

An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings

open access: yesFixed Point Theory and Applications, 2011
In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative ...
Qin Xiaolong, Kang Shin, Agarwal Ravi
doaj  

The existence of positive solutions for Kirchhoff-type problems via the sub-supersolution method

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this paper we discuss the existence of a solution between wellordered subsolution and supersolution of the Kirchhoff equation. Using the sub-supersolution method together with a Rabinowitz-type global bifurcation theory, we establish the existence of ...
Yan Baoqiang   +2 more
doaj   +1 more source

An Introduction to C∗‐Algebra‐Valued Metric‐Like Space With Related Applications

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
It is well‐known that the main objective of metric‐like spaces is to pave way for the development of fixed point results in nonstandard framework, such as in nonsymmetric distance structures, where self‐distances might be nonzero. This objective becomes more achievable when the range set of the distance function is a C∗‐algebra. Unfortunately, the idea
Zulaihatu Tijjani Ahmad   +5 more
wiley   +1 more source

Dislocated metric space to metric spaces with some fixed point theorems

open access: yes, 2013
In this paper, we notice the notions metric-like space and dislocated metric space are exactly the same. After this historical remark, we discuss the existence and uniqueness of a fixed point of a cyclic mapping in the context of metric-like spaces.
E. Karapınar, P. Salimi
semanticscholar   +1 more source

Stability of common fixed points in uniform spaces

open access: yesFixed Point Theory and Applications, 2011
Stability results for a pair of sequences of mappings and their common fixed points in a Hausdorff uniform space using certain new notions of convergence are proved. The results obtained herein extend and unify several known results.
Singh Shyam   +2 more
doaj  

Nash-type equilibria and periodic solutions to nonvariational systems

open access: yesAdvances in Nonlinear Analysis, 2014
The paper deals with variational properties of fixed points for contraction-type operators. Under suitable conditions, the unique fixed point of a vector-valued operator is a Nash-type equilibrium of the corresponding energy functionals. This is achieved
Precup Radu
doaj   +1 more source

Coincidence Best Proximity Points of Proximal Berinde G‐Contractions

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
Recently, a concept of proximal Berinde contractions was introduced and applied to prove the existence of coincidence best proximity points in metric spaces. In this article, we established a new approach to show that these results can be obtained from a fixed point theorem for multivalued (β, L)‐weak contractions.
Moosa Gabeleh, Jack Markin, Dengfeng Lu
wiley   +1 more source

Common fixed points of almost generalized (ψ,φ)s-contractive mappings in ordered b-metric spaces

open access: yes, 2013
In this paper, we introduce the notion of almost generalized (ψ,φ)s-contractive mappings and we establish some fixed and common fixed point results for this class of mappings in ordered complete b-metric spaces.
Jamal Rezaei Roshan   +4 more
semanticscholar   +1 more source

Approximating fixed points of nearly asymptotically nonexpansive mappings in CAT(k) spaces

open access: yesArab Journal of Mathematical Sciences, 2018
In this paper we approximate common fixed points of nearly asymptotically nonexpansive mappings under modified S P-iteration process in the setting of CAT(k) spaces and establish strong and Δ-convergence theorems.
Anupam Sharma
doaj  

Dislocated quasi cone b-metric space over Banach algebra and contraction principles with application to functional equations

open access: yesOpen Mathematics, 2019
In this paper we introduce dislocated and dislocated quasi version of a cone b-metric space over a Banach algebra as well as weak semi α-admissible and α-identical pair of mappings and prove common fixed point theorems for a pair of α-identical and weak ...
George Reny   +4 more
doaj   +1 more source

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