• Title/Summary/Keyword: Coincidence

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PERIODIC SOLUTIONS OF A DISCRETE-TIME NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH THE BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

  • Dai, Binxiang;Zou, Jiezhong
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.127-139
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    • 2007
  • In this paper, we investigate a discrete-time non-autonomous predator-prey system with the Beddington-DeAngelis functional response. By using the coincidence degree and the related continuation theorem as well as some priori estimates, easily verifiable sufficient criteria are established for the existence of positive periodic solutions.

COMMON COUPLED FIXED POINT FOR HYBRID PAIR OF MAPPINGS UNDER GENERALIZED NONLINEAR CONTRACTION

  • Deshpande, Bhavana;Handa, Amrish
    • East Asian mathematical journal
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    • v.31 no.1
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    • pp.77-89
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    • 2015
  • We establish a coupled coincidence and common coupled fixed point theorem for hybrid pair of mappings under generalized non-linear contraction. An example supporting to our result has also been cited. We improve, extend and generalize several known results.

COMMON n-TUPLED FIXED POINT FOR HYBRID PAIR OF MAPPINGS UNDER NEW CONTRACTIVE CONDITION

  • Deshpande, Bhavana;Handa, Amrish
    • The Pure and Applied Mathematics
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    • v.21 no.3
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    • pp.165-181
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    • 2014
  • We establish a common n-tupled fixed point theorem for hybrid pair of mappings under new contractive condition. It is to be noted that to find n-tupled coincidence point, we do not use the condition of continuity of any mapping involved. An example supporting to our result has also been cited. We improve, extend and generalize several known results.

NOTES ON RANDOM FIXED POINT THEOREMS

  • Cho Y.J.;Khan M. Firdosh;Salahuddin Salahuddin
    • The Pure and Applied Mathematics
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    • v.13 no.3 s.33
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    • pp.227-236
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    • 2006
  • The purpose of this paper is to establish a random fixed point theorem for nonconvex valued random multivalued operators, which generalize known results in the literature. We also derive a random coincidence fixed point theorem in the noncompart setting.

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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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Generalized 𝜓-Geraghty-Zamfirescu Contraction Pairs in b-metric Spaces

  • Morales, Jose R.;Rojas, Edixon M.
    • Kyungpook Mathematical Journal
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    • v.61 no.2
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    • pp.279-308
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    • 2021
  • The purpose of this paper is to introduce a class of contractive pairs of mappings satisfying a Zamfirescu-type inequality, but controlled with altering distance functions and with parameters satisfying the so-called Geraghty condition in the framework of b-metric spaces. For this class of mappings we prove the existence of points of coincidence, the convergence and stability of the Jungck, Jungck-Mann and Jungck-Ishikawa iterative processes and the existence and uniqueness of its common fixed points.

COINCIDENCE AND FIXED POINT RESULTS FOR GENERALIZED WEAK CONTRACTION MAPPING ON b-METRIC SPACES

  • Malkawi, Abed Al-Rahman M.;Talafhah, Abdallah;Shatanawi, Wasfi
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.1
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    • pp.177-195
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    • 2021
  • In this paper, we introduce the modification of a generalized (Ψ, L)-weak contraction and we prove some coincidence point results for self-mappings G, T and S, and some fixed point results for some maps by using a (c)-comparison function and a comparison function in the sense of a b-metric space.

APPLICATION OF CONTRACTION MAPPING PRINCIPLE IN PERIODIC BOUNDARY VALUE PROBLEMS

  • Amrish Handa
    • The Pure and Applied Mathematics
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    • v.30 no.3
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    • pp.289-307
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    • 2023
  • We prove some common fixed point theorems for β-non-decreasing mappings under contraction mapping principle on partially ordered metric spaces. We study the existence of solution for periodic boundary value problems and also give an example to show the degree of validity of our hypothesis. Our results improve and generalize various known results.

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.

A Study on the Current Status and Improvement Plans of Expected Cadastral Coordinate Mapping for Cadastral Confirmation Surveying (지적확정측량을 위한 예정지적좌표도 작성 현황 및 개선방안 연구)

  • Hong, Sung-Eon
    • Journal of Digital Convergence
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    • v.18 no.2
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    • pp.73-81
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    • 2020
  • The purpose of this study is to analyze the current status of expected cadastral coordinate maps by type of district boundary surveying and the problems of non-coincidence with the surrounding land parcels, and to suggest ways to improve them in the future. Currently, the expected cadastral coordinate maps are drawn using various methods such as reference point adjust adjustment, reference point adjust adjustment and present condition, reference point and present condition. As a result, there was a problem of non-coincidence such as overlapping or blanking in expected cadastral coordinate maps for cadastral confirmation surveying and surrounding individual parcels. In addition, detailed unified standards for minimizing the occurrence of non-coincidence problems are lacking. In order to improve the problems analyzed, the study suggested the acquisition and management of digital coordinates for the parcels around the district boundary, the preparation and dissemination of cadastral surveying results determination standard manual for the preparation of expected cadastral coordinate maps, and the preparation of educational programs for cadastral surveying results determination.