Results 71 to 80 of about 5,641 (184)
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
An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces
, 2012 In this article, we propose and analyze an implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces. Results concerning Δ-convergence as well as strong convergence of the proposed algorithm are proved.
A. Khan +2 more
semanticscholar +1 more source
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.The main focus in this article is to prove the existence and uniqueness of fixed point satisfying Reich graph contraction within the graph structure, in the context of the graphical extended b‐metric spaces. Our findings represent substantial expansions and broader generalizations of certain pioneering results within the current theoretical framework ...
Azham Ilyass +3 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
Dislocated metric space to metric spaces with some fixed point theorems
, 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
Miskolc Mathematical Notes, 2019 In this paper, we extend relation-theoretic contraction principle due to Alam and Imdad to a nonlinear contraction using a relatively weaker class of continuous control functions employing a locally finitely T -transitive binary relation, which improves ...
A. Alam, Mohammad Arif, M. Imdad
semanticscholar +1 more source
Applications of Asymptotic Fixed Point Theorems in A‐Metric Spaces to Integral Equations
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, using asymptotically regular sequences and mappings other than Picard operators, the most general forms of Hardy–Rogers and Ćirić fixed point theorems in the framework of A‐metric space are presented. Furthermore, we give some applications to integral equations, which show the effectiveness of fixed point results presented herein.
Ismat Beg +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
Common fixed points of almost generalized (ψ,φ)s-contractive mappings in ordered b-metric spaces
, 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
Fixed Point Results for Nonlinear F‐Contractions in Composed S‐Metric Spaces
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we introduce the concept of composed S‐metric space as a new generalization of S‐metric space and Sb‐metric space. We present some examples showing that a composed S‐metric space is a generalization of various types of abstract spaces, and results showing the relation with the Sp‐metric space introduced earlier. We also prove fixed‐point
Chol Jin Kil +3 more
wiley +1 more source