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Fixed point property and degree of coincidence [PDF]
Applied General TopologyWe introduce the concept of degree of coincidence to measure the divergence from the fixed point property in case a space does not have the FPP.
W. Kulpa, A. Szymanski, M. Turzanski
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A Coincidence Best Proximity Point Problem in G-Metric Spaces [PDF]
Abstract and Applied Analysis, 2015 The aim of this paper is to initiate the study of coincidence best proximity point problem in the setup of generalized metric spaces. Some results dealing with existence and uniqueness of a coincidence best proximity point of mappings satisfying certain ...
M. Abbas, A. Hussain, P. Kumam
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Fixed point results of weakly contraction mappings in partially ordered b-metric spaces
BMC Research Notes, 2022 Objectives We explored the results of fixed point, coincidence point and coupled coincidence point for the mappings in an ordered metric spaces. Our results generalized and extended the well-known results in the literature.
K. Kalyani, N. Seshagiri Rao
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Axioms, 2023 In this paper, we prove a coincidence point result for a pair of mappings satisfying Edelstein-type contractive condition on fuzzy metric spaces. We describe the equilibrium of a simple demand–supply model of a dynamic market by the coincidence point of ...
Satish Shukla +3 more
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Fixed point results for weak contractions in partially ordered b-metric space
BMC Research Notes, 2021 Objectives We explore the existence of a fixed point as well as the uniqueness of a mapping in an ordered b-metric space using a generalized $$({\check{\psi }}, \hat{\eta })$$ ( ψ ˇ , η ^ ) -weak contraction.
N. Seshagiri Rao, K. Kalyani, K. Prasad
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BMC Research Notes, 2020 Objectives The aim of this paper is to establish some fixed point, coincidence point and, coupled coincidence and coupled common fixed point results for generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in partially ordered b-metric spaces ...
Belay Mitiku +2 more
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Coincident-point rigidity in normed planes
Ars Mathematica Contemporanea, 2023 A bar-joint framework $(G,p)$ is the combination of a graph $G$ and a map $p$ assigning positions, in some space, to the vertices of $G$. The framework is rigid if every edge-length-preserving continuous motion of the vertices arises from an isometry of the space.
Sean Dewar, John Hewetson, Anthony Nixon
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Note on KKM maps and applications
Fixed Point Theory and Applications, 2006 We apply the KKM technique to study fixed point theory, minimax inequality and coincidence theorem. Some new results on Fan-Browder fixed point theorem, Fan's minimax theorem and coincidence theorem are obtained.
B. S. Lee +3 more
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Coincidence and modality [PDF]
, 2012 How should we understand de re modal features of objects, if there are such features? Any answer to the question is connected to how we should think about coincident objects, objects which occupy the same spatio-temporal region and share the same ...
Kang, Li
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Fixed point results of $(\phi,\psi)$-weak contractions in ordered $b$-metric spaces
Cubo, 2022 The purpose of this paper is to prove some results on fixed point, coincidence point, coupled coincidence point and coupled common fixed point for the mappings satisfying generalized $(\phi, \psi)$-contraction conditions in complete partially ordered ...
N. Seshagiri Rao, K. Kalyani
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