• Title/Summary/Keyword: point of coincidence

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COINCIDENCE AND COMMON FIXED POINTS OF NONCOMPATIBLEMAPS

  • Beg, Ismat;Abbas, Mujahid
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.743-752
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    • 2011
  • Fixed point theorems for two hybrid pairs of single valued and multivalued noncompatible maps under strict contractive condition are proved, without appeal to continuity of any map involved therein and completeness of underlying space. These results extend, unify and improve the earlier comparable known results.

UNIQUE POINT OF COINCIDENCE FOR TWO MAPPINGS WITH 𝜑- OR 𝜓-𝜙-CONTRACTIVE CONDITIONS ON 2-METRIC SPACES

  • Xu, Ming-Xing;Huang, Xin;Piao, Yong-Jie
    • Journal of the Chungcheong Mathematical Society
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    • v.29 no.3
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    • pp.417-428
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    • 2016
  • We discuss and obtain some existence theorems of unique point of coincidence for two mappings satisfying ${\varphi}$-contractive conditions or ${\psi}$-${\phi}$-contractive conditions determined by semi-continuous functions on non-complete 2-metric spaces, in which the mappings do not satisfy commutativity and uniform boundedness. The obtained results generalize and improve many well-known and corresponding conclusions.

A relative nielsen number in coincidence theory

  • Jang, Chan-Gyu;Lee, Sik
    • Journal of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.171-181
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    • 1995
  • Nielsen coincidence theory is concerned with the estimation of a lower bound for the number of coincidences of two maps $f,g: X \longrightarrow Y$. For this purpose the so-called Nielsen number N(f,g) is introduced, which is a lower bound for the number of coincidences ([1]). The relative Nielsen number N(f : X,A) in the fixed point theory is introduced in [3], which is a lower bound for the number of fixed points for all maps in the relative homotopy class of f:(X,A) $\longrightarrow$ (X,A), and its estimation is given in [5].

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UTILIZING WEAK 𝜓 - 𝜑 CONTRACTION ON FUZZY METRIC SPACES

  • Amrish Handa
    • The Pure and Applied Mathematics
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    • v.30 no.3
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    • pp.309-336
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    • 2023
  • We establish some common fixed point theorems satisfying weak ψ - ϕ contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this results we show the existence of fixed point on the domain of words and apply this approach to deduce the existence of solution for some recurrence equations associated to the analysis of Quicksort algorithms and divide and Conquer algorithms, respectively and also give an example to show the usefulness of our hypothesis. Our results generalize, extend and improve several well-known results of the existing literature in fixed point theory.

ON COUPLED COINCIDENCE POINTS IN MULTIPLICATIVE METRIC SPACES WITH AN APPLICATION

  • Ibtisam Mutlaq Alanazi;Qamrul Haque Khan;Shahbaz Ali;Tawseef Rashid;Faizan Ahmad Khan
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.3
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    • pp.775-791
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    • 2023
  • In this manuscript, we prove the existence of the coupled coincidence point by using g-couplings in multiplicative metric spaces (MMS). Further we show that existence of a fixed point in ordered MMS having t-property. Finally, some examples and application are presented for attesting to the credibility of our results.

SELECTION THEOREMS WITH n-CONNECTDENESS

  • In-Sook Kim
    • Journal of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.165-175
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    • 1998
  • We give a generalization of the selection theorem of Ben-El-Mechaiekh and Oudadess to complete LD-metric spaces with the aid of the notion of n-connectedness. Our new selection theorem is used to obtain new results of fixed points and coincidence points for compact lower semicontinuous set-valued maps with closed values consisting of D-sets in a complete LD-metric space.

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COMMON FIXED POINTS FOR TWO MAPPINGS WITH EXPANSIVE PROPERTIES ON COMPLEX VALUED METRIC SPACES

  • Piao, Yong-Jie
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.1
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    • pp.13-28
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    • 2015
  • In this paper, we use two mappings satisfying certain expansive conditions to construct convergent sequences in complex valued metric spaces, and then we prove that the limits of the convergent sequences are the points of coincidence or common fixed points for the two mappings. The main theorems in this paper are the generalizations and improvements of the corresponding results in real metric spaces, cone metric spaces and topological vector space-valued cone metric spaces.

GENERALIZED ANTI FUZZY SUBGROUPS

  • Jun, Young-Bae;Song, Seok-Zun
    • East Asian mathematical journal
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    • v.22 no.2
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    • pp.195-205
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    • 2006
  • Using the notion of anti fuzzy points and its besideness to and non-quasi-coincidence with a fuzzy set, new concepts of an anti fuzzy subgroup are introduced and their inter-relations are investigated.

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Source and LVis based coincidence summing correction in HPGe gamma-ray spectrometry

  • Lee, Jieun;Kim, HyoJin;Kye, Yong Uk;Lee, Dong Yeon;Kim, Jeung Kee;Jo, Wol Soon;Kang, Yeong-Rok
    • Nuclear Engineering and Technology
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    • v.54 no.5
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    • pp.1754-1759
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    • 2022
  • The activity of gamma-ray emitting nuclides is calculated assuming that each gamma-ray is detected individually; thus, the magnitude of the coincidence summing signal must be considered during activity calculations. Here, the correction factor for the coincidence summing effect was calculated, and the detection efficiencies of two HPGe detectors were compared. The CANBERRA Inc. GC4018 high-purity Ge detector provided an estimate for the peak-to-total ratio using a point source to determine the coincidence summing correction factor. The ORTEC Inc. GEM60 high-purity Ge detector uses EFFTRAN in LVis to obtain the parameters of the detector and source model and the gamma-gamma and gamma-X match estimates, in order to determine the coincidence summing correction factor. Nuclide analyses, radioactivity comparisons, and analyses of reference material samples were performed utilizing certified reference materials to accurately determine the detection efficiencies. For both Co-60 and Y-88, the detection efficiency for a point source increased by an average of at least 12-13%, whereas the detection efficiency determined using LVis increased by an average of at least 13-15%. The calculated radioactivity values of the certified reference material and reference material samples were accurate to within 3% and 6% of the measured values, respectively.