• Title/Summary/Keyword: coincidence and fixed points

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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.

TRIPLED COINCIDENCE AND COMMON TRIPLED FIXED POINT THEOREM FOR HYBRID PAIR OF MAPPINGS SATISFYING NEW CONTRACTIVE CONDITION

  • Deshpande, Bhavana;Handa, Amrish
    • East Asian mathematical journal
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    • v.32 no.5
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    • pp.701-716
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    • 2016
  • We establish a tripled coincidence and common tripled fixed point theorem for hybrid pair of mappings satisfying new contractive condition. To find tripled coincidence points, we do not use the continuity of any mapping involved therein. An example is also given to validate our result. We improve, extend and generalize several known results.

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.

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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A COMMON FIXED POINT RESULT FOR A (${\psi}$, ${\varphi}$)-WEAK CONTRACTIVE CONDITION TYPE

  • Aydi, Hassen
    • Journal of applied mathematics & informatics
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    • v.30 no.5_6
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    • pp.809-820
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    • 2012
  • We establish a coincidence and a common fixed point result for four mappings involving a (${\psi}$, ${\varphi}$)-weak contractive condition type on a complete metric space. We take on ${\psi}$ and ${\varphi}$ the same conditions given by Popescu [Fixed points for (${\psi}$, ${\varphi}$)-weak contractions, Appl. Math. Lett. 24 (2011), 1-4].

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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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.

COMMON FIXED POINTS WITHOUT CONTINUITY IN FUZZY METRIC SPACES

  • SHARMA SUSHIL;DESHPANDE BHAVANA
    • The Pure and Applied Mathematics
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    • v.12 no.4 s.30
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    • pp.289-306
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    • 2005
  • The aim of this paper is to prove some common fixed point theorems for six discontinuous mappings in non complete fussy metric spaces with condition of weak compatibility.

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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.