Results 71 to 80 of about 5,702 (174)
On a functional equation that has the quadratic-multiplicative property
Open 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
Discussion on some coupled fixed point theorems
, 2013 In this paper, we show that, unexpectedly, most of the coupled fixed point theorems (on ordered metric spaces) are in fact immediate consequences of well-known fixed point theorems in the literature.MSC: 47H10, 54H25.
B. Samet +3 more
semanticscholar +1 more source
Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces
Fixed Point Theory and Applications, 2011 We extend Rodé's theorem on common fixed points of semigroups of nonexpansive mappings in Hilbert spaces to the CAT(0) space setting. 2000 Mathematics Subject Classification: 47H09; 47H10.
Anakkamatee Watcharapong +1 more
doaj
Borsuk’s antipodal fixed points theorems for compact or condensing set-valued maps
Advances 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
A Discrete Multivariate Mean Value Theorem with Applications [PDF]
AMS classifications: 47H10; 54H25; 55M20; 90C33; 91B50Discrete set;mean value theorem;fixed point;algorithm;equilibrium ...
Talman, A.J.J., Yang, Z.F.
core +1 more source
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.The objective of this paper is to present a new fixed‐point result for a class of mappings named a cyclic generalized ψ‐weak contraction. We also presented the best proximity point for the contraction when the considered sets have no common points. We go through rigorous steps to prove the existence of a unique fixed‐point and best proximity point ...
Nigussa L. Bayissa +2 more
wiley +1 more source
Orthogonal Stability of an Additive-Quadratic Functional Equation
Fixed Point Theory and Applications, 2011 Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces. (2010) Mathematics Subject Classification: Primary 39B55; 47H10; 39B52; 46H25.
Park Choonkil
doaj
Some common fixed point results in ordered partial b-metric spaces
, 2013 In this paper, we introduce a modified version of ordered partial b-metric spaces. We demonstrate a fundamental lemma for the convergence of sequences in such spaces.
Z. Mustafa +3 more
semanticscholar +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals.
Gunaseelan Mani +4 more
wiley +1 more source
Another weak convergence theorems for accretive mappings in banach spaces
Fixed 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