• Title, Summary, Keyword: multivalued mappings

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Approximation of Common Fixed Points of Two Strictly Pseudononspreading Multivalued Mappings in ℝ-Trees

  • PHUENGRATTANA, WITHUN
    • Kyungpook Mathematical Journal
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    • v.55 no.2
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    • pp.373-382
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    • 2015
  • In this paper, we introduce and study a new multivalued mapping in $\mathbb{R}$-trees, called k-strictly pseudononspreading. We also introduce a new two-step iterative process for two k-strictly pseudononspreading multivalued mappings in $\mathbb{R}$-trees. Strong convergence theorems of the proposed iteration to a common fixed point of two k-strictly pseudononspreading multivalued mappings in $\mathbb{R}$-trees are established. Our results improve and extend the corresponding results existing in the literature.

COMMON STATIONARY POINTS FOR CONTRACTIVE TYPE MULTIVALUED MAPPINGS

  • Kang, Shin Min;Jia, Ming;Liu, Zeqing;Kwun, Young Chel
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.375-382
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    • 2009
  • Several common stationary point theorems for two classes of contractive type multivalued mappings in a complete bounded metric space are given. The results presented in this paper generalize and extend some known results in literature.

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EXISTENCE OF FIXED POINTS OF SET-VALUED MAPPINGS IN b-METRIC SPACES

  • Afshari, Hojjat;Aydi, Hassen;Karapinar, Erdal
    • East Asian mathematical journal
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    • v.32 no.3
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    • pp.319-332
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    • 2016
  • In this paper, we introduce the notion of generalized ${\alpha}-{\psi}$-Geraghty multivalued mappings and investigate the existence of a xed point of such multivalued mappings. We present a concrete example and an application on integral equations illustrating the obtained results.

COMMON FIXED POINT FOR GENERALIZED MULTIVALUED MAPPINGS VIA SIMULATION FUNCTION IN METRIC SPACES

  • Antal, Swati;Gairola, U.C.
    • Communications of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.1107-1121
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    • 2020
  • The purpose of this paper is to introduce the notion of generalized multivalued Ƶ-contraction and generalized multivalued Suzuki type Ƶ-contraction for pair of mappings and establish common fixed point theorems for such mappings in complete metric spaces. Results obtained in this paper extend and generalize some well known fixed point results of the literature. We deduce some corollaries from our main result and provide examples in support of our results.

FUZZY NONLINEAR RANDOM VARIATIONAL INCLUSION PROBLEMS INVOLVING ORDERED RME-MULTIVALUED MAPPING IN BANACH SPACES

  • Kim, Jong Kyu;Salahuddin, Salahuddin
    • East Asian mathematical journal
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    • v.34 no.1
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    • pp.47-58
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    • 2018
  • In this paper, we consider a fuzzy nonlinear random variational inclusion problems involving ordered RME-multivalued mapping in ordered Banach spaces. By using the random relaxed resolvent operator and its properties, we suggest an random iterative algorithm. Finally both the existence of the random solution of the original problem and the convergence of the random iterative sequences generated by random algorithm are proved.

ON FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS OF FENG-LIU TYPE

  • ALTUN, ISHAK;MINAK, GULHAN
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.6
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    • pp.1901-1910
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    • 2015
  • In the present paper, considering the Jleli and Samet's technique we give many fixed point results for multivalued mappings on complete metric spaces without using the Pompeiu-Hausdorff metric. Our results are real generalization of some related fixed point theorems including the famous Feng and Liu's result in the literature. We also give some examples to both illustrate and show that our results are proper generalizations of the mentioned theorems.

GENERALIZED MULTIVALUED QUASIVARIATIONAL INCLUSIONS FOR FUZZY MAPPINGS

  • Liu, Zeqing;Ume, Jeong-Sheok;Kang, Shin-Min
    • The Pure and Applied Mathematics
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    • v.14 no.1
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    • pp.37-48
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    • 2007
  • In this paper, we introduce and study a class of generalized multivalued quasivariational inclusions for fuzzy mappings, and establish its equivalence with a class of fuzzy fixed-point problems by using the resolvent operator technique. We suggest a new iterative algorithm for the generalized multivalued quasivariational inclusions. Further, we establish a few existence results of solutions for the generalized multivalued quasivariational inclusions involving $F_r$-relaxed Lipschitz and $F_r$-strongly monotone mappings, and discuss the convergence criteria for the algorithm.

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