Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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COMMON FIXED POINT FOR GENERALIZED MULTIVALUED MAPPINGS VIA SIMULATION FUNCTION IN METRIC SPACES

  • Antal, Swati (Department of Mathematics H. N. B. Garhwal University, BGR Campus) ;
  • Gairola, U.C. (Department of Mathematics H. N. B. Garhwal University, BGR Campus)
  • Received : 2019.11.10
  • Accepted : 2020.06.04
  • Published : 2020.10.31
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Abstract

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.

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References

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