• Title/Summary/Keyword: example spaces

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COMMON FIXED POINT THEOREMS WITHOUT CONTINUITY AND COMPATIBILITY IN INTUITIONISTIC FUZZY METRIC SPACE

  • Park, Jong-Seo
    • Honam Mathematical Journal
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    • v.33 no.2
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    • pp.143-152
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    • 2011
  • In this paper, we prove some common fixed point theorems for finite number of discontinuous, non-compatible mapping on non-complete intuitionistic fuzzy metric spaces and obtain the example. Our research improve, extend and generalize several known results in intuitionistic fuzzy metric spaces.

BOUNDARY CONTROLLABILITY OF SEMILINEAR SYSTEMS IN BANACH SPACES

  • BALACHANDRAN, K.;ANANDHI, E.R.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.5 no.2
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    • pp.149-156
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    • 2001
  • Sufficient conditions for boundary controllability of semilinear systems in Banach spaces are established. The results are obtained by using the analytic semigroup theory and the Banach contraction principle. An example is provided to illustrate the theory.

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EMPLOYING GENERALIZED (𝜓, 𝜃, 𝜑)-CONTRACTION ON PARTIALLY ORDERED FUZZY METRIC SPACES WITH APPLICATIONS

  • Handa, Amrish
    • The Pure and Applied Mathematics
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    • v.27 no.4
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    • pp.207-229
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    • 2020
  • We establish fixed point and multidimensional fixed point results satisfying generalized (𝜓, 𝜃, 𝜑)-contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this result we obtain the solution for periodic boundary value problems and give an example to show the degree of validity of our hypothesis. Our results generalize, extend and modify several well-known results in the literature.

GENERAL SOLUTION AND ULAM-HYERS STABILITY OF VIGINTI FUNCTIONAL EQUATIONS IN MULTI-BANACH SPACES

  • Murali, Ramdoss;Bodaghi, Abasalt;Raj, Aruldass Antony
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.2
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    • pp.199-230
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    • 2018
  • In this paper, we introduce the general form of a viginti functional equation. Then, we find the general solution and study the generalized Ulam-Hyers stability of such functional equation in multi-Banach spaces by using fixed point technique. Also, we indicate an example for non-stability case regarding to this new functional equation.

FIXED POINT THEOREMS IN MENGER SPACES USING AN IMPLICIT RELATION

  • Chauhan, Sunny;Khan, M. Alamgir;Pant, B.D.
    • Honam Mathematical Journal
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    • v.35 no.4
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    • pp.551-564
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    • 2013
  • In 2008, Al-Thaga and Shahzad [Generalized I-nonexpansive selfmaps and invariant approximations, Acta Math. Sinica, 24(5) (2008), 867-876] introduced the notion of occasionally weakly compatible mappings in metric spaces. In this paper, we prove some common fixed point theorems for families of occasionally weakly compatible mappings in Menger spaces using an implicit relation. We also give an illustrative example to support our main result.

Coupled Fixed Point Theorems in Modular Metric Spaces Endowed with a Graph

  • Sharma, Yogita;Jain, Shishir
    • Kyungpook Mathematical Journal
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    • v.61 no.2
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    • pp.441-453
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    • 2021
  • In this work, we define the concept of a mixed G-monotone mapping on a modular metric space endowed with a graph, and prove some fixed point theorems for this new class of mappings. Results of this paper extend coupled fixed point theorems from partially ordered metric spaces into the modular metric spaces endowed with a graph. An example is presented to illustrate the new result.

COINCIDENCE POINT RESULTS FOR (𝜙, 𝜓)-WEAK CONTRACTIVE MAPPINGS IN CONE 2-METRIC SPACES

  • Islam, Ziaul;Sarwar, Muhammad;Tunc, Cemil
    • Honam Mathematical Journal
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    • v.43 no.2
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    • pp.305-323
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    • 2021
  • In the present paper, utilizing (𝜙, 𝜓)-weak contractive conditions, unique fixed point and some coincidence point results have been studied in the context of cone 2- metric spaces. Also, our obtained results generalize some results from cone metric space to cone 2-metric space. For the authenticity of the presented work, a non trivial example is also provided.