Results 41 to 50 of about 3,623 (97)

Cyclic weak ϕ iterated function system

open access: yesTopological Algebra and its Applications, 2022
In this article, we are considering the cyclic weak ϕ-contraction and prove that the result is also true in Hausdorff metric space. We are constructing a cyclic weak ϕ iterated function system (IFS), which gives the self-referential set or attractor ...
Ullah Kifayat, Katiyar S. K.
doaj   +1 more source

Existence of fixed points for a particular multifunction [PDF]

open access: yesarXiv, 2010
We prove a fixed point theorem for a particular multifunction from the unit sphere of a reflexive Banach space with the Kadec-Klee property into itself.
arxiv  

Weak and Semi Compatible Maps in Probabilistic Metric Space Using Implicit Relation [PDF]

open access: yes, 2008
2000 Mathematics Subject Classification: 54H25, 47H10.The concept of semi compatibility is given in probabilistic metric space and it has been applied to prove the existence of unique common fixed point of four self-maps with weak compatibility ...
Dhagat, Vanita Ben, Sharma, Akshay
core  

Another weak convergence theorems for accretive mappings in banach spaces

open access: yesFixed Point Theory and Applications, 2011
We present two weak convergence theorems for inverse strongly accretive mappings in Banach spaces, which are supplements to the recent result of Aoyama et al. [Fixed Point Theory Appl. (2006), Art. ID 35390, 13pp.]. 2000 MSC: 47H10; 47J25.
Saejung Satit   +2 more
doaj  

On a functional equation that has the quadratic-multiplicative property

open access: yesOpen Mathematics, 2020
In this article, we obtain the general solution and prove the Hyers-Ulam stability of the following quadratic-multiplicative functional equation:ϕ(st−uv)+ϕ(sv+tu)=[ϕ(s)+ϕ(u)][ϕ(t)+ϕ(v)]\phi (st-uv)+\phi (sv+tu)={[}\phi (s)+\phi (u)]{[}\phi (t)+\phi (v ...
Park Choonkil   +4 more
doaj   +1 more source

A Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces

open access: yesTopological Algebra and its Applications, 2023
In this article, we propose a Halpern-type subgradient extragradient algorithm for solving a common element of the set of solutions of variational inequality problems for continuous monotone mappings and the set of f-fixed points of continuous f ...
Zegeye Habtu, Boikanyo Oganeditse A.
doaj   +1 more source

Coupled Fixed Point Theorems for Contraction Involving Rational Expressions in Partially Ordered Metric Spaces [PDF]

open access: yesarXiv, 2010
We establish coupled fixed point theorems for contraction involving rational expressions in partially ordered metric spaces.
arxiv  

Composite iterative schemes for maximal monotone operators in reflexive Banach spaces

open access: yesFixed Point Theory and Applications, 2011
In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by using a shrinking projection method.
Cho Yeol   +2 more
doaj  

Borsuk’s antipodal fixed points theorems for compact or condensing set-valued maps

open access: yesAdvances in Nonlinear Analysis, 2018
We give a generalized version of the well-known Borsuk’s antipodal fixed point theorem for a large class of antipodally approachable condensing or compact set-valued maps defined on closed subsets of locally convex topological vector spaces.
Altwaijry Najla   +3 more
doaj   +1 more source

Asymptotic stability of equilibria for difference equations via fixed points of enriched Prešić operators

open access: yesDemonstratio Mathematica, 2023
We introduced a new general class of Prešić-type operators, by enriching the known class of Prešić contractions. We established conditions under which enriched Prešić operators possess a unique fixed point, proving the convergence of two different ...
Păcurar Mădălina
doaj   +1 more source

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