Remarks on Fixed Point Assertions in Digital Topology, 9 [PDF]
arXivWe continue a discussion of published assertions that are incorrect, incorrectly proven, or trivial, in the theory of fixed points in digital topology.
arxiv
Generalization of the Banach contraction principle [PDF]
arXiv, 2013 We introduce the concept of shifting distance functions, and we establish a new fixed point theorem which generalizes the Banach contraction principle. An example is provided to illustrate our result.
arxiv
A fixed point on generalised cone metric spaces [PDF]
Kyungpook Mathematical Journal 2015 Vol. 55, No. 4, 773-777, 2016 The aim of this paper is to prove a fixed point theorem on a generalised cone metric spaces for maps satisfying general contractive type conditions.
arxiv
The contraction principle in extended context [PDF]
arXiv, 2016 There are several extensions of the classical Banach Fixed Point Theorem in technical literature. A branch of generalizations replaces usual contractivity by weaker but still effective assumptions. Our note follows this stream, presenting an elementary proof for a known fixed point result. Some applications are also considered.
arxiv
Some fixed point results on ultrametric spaces endowed with a graph
Demonstratio MathematicaThe present article deals with new fixed point theorems by means of GG-strongly contractive maps. The research findings are demonstrated in a spherically complete ultrametric space with a graph for single-valued mappings. The special cases of the results
Acar Özlem +2 more
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Some fixed point results of generalized ( ϕ , ψ )-contractive mappings in ordered <i>b</i>-metric spaces. [PDF]
BMC Res Notes, 2020 Mitiku B, Karusala K, Namana SR.
europepmc +1 more source
Fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function. [PDF]
BMC Res Notes, 2020 Seshagiri Rao N, Kalyani K, Mitiku B.
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Fixed point results for generalized convex orbital Lipschitz operators
Demonstratio MathematicaKrasnoselskii’s iteration is a classical and important method for approximating the fixed point of an operator that satisfies certain conditions. Many authors have used this approach to obtain several famous fixed point theorems for different types of ...
Zhou Mi +4 more
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Analysis of COVID-19 model under Caputo fractional derivative with case study of Algeria
, 2023 Benterki A, Benbachir M.
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Common fixed point theorems for ( T , g ) F -contraction in b-metric-like spaces. [PDF]
J Inequal Appl, 2018 Yu D, Chen C, Wang H.
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