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Common fixed point for generalized multivalued mappings via simulation function in metric spaces

Swati Anta|U. C. Gairola
대한수학회 (The Korean Mathematical Society)|2020.10|대한수학회논문집 (Communications of the KMS)|제35권 제4호|pp. 1107-1121|DOI 10.4134/CKMS.c190388

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참고문헌

키워드

Complete metric spacecommon fixed pointmultivalued mappingsimulation function
주제분류수학

초록

The purpose of this paper is to introduce the notion of generalized multivalued $\mathcal{Z}$-contraction and generalized multivalued Suzuki type $\mathcal{Z}$-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.

Abstract

The purpose of this paper is to introduce the notion of generalized multivalued $\mathcal{Z}$-contraction and generalized multivalued Suzuki type $\mathcal{Z}$-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.

참고문헌 (23)

  1. A. S. S. Alharbi, "On the power of simulation and admissible functions in metric fixed point theory", J. Funct. Spaces, 2017, pp.2068163~2068169 (2017)[DOI]
  2. B. Alqahtani, "Fixed point results on ∆-symmetric quasimetric space via simulation function with an application to Ulam stability", Math, 6, pp.208~ (2018)[DOI]
  3. O. Alqahtani, "A bilateral contraction via simulation function", Filomat, 33(15), pp.4837~4843 (2019)[DOI]
  4. E. Ameer, "Common fixed point theorems of generalized multivalued (ψ, φ)-contractions in complete metric spaces with application", Math, 7, pp.194~ (2019)[DOI]
  5. H. Argoubi, "Nonlinear contractions involving simulation functions in a metric space with a partial order", J. Nonlinear Sci. Appl, 8(6), pp.1082~1094 (2015)[DOI]
  6. H. Aydi, "Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric spaces", Topology Appl, 159(14), pp.3234~3242 (2012)[DOI]
  7. H. Aydi, "Nonunique fixed point theorems on b-metric spaces via simulation functions", Jordan J. Math. Stat, 12(3), pp.265~288 (2019)
  8. S. Banach, "Sur les op´erations dans les ensembles abstraits et leur application aux ´equations int´egrales", Fund. Math, 3, pp.133~181 (1922)[DOI]
  9. M. Berinde, "On a general class of multi-valued weakly Picard mappings", J. Math. Anal. Appl, 326(2), pp.772~782 (2007)[DOI]
  10. L. Ciri´c, "Multi-valued nonlinear contraction mappings", Nonlinear Anal, 71(7-8), pp.2716~2723 (2009)[DOI]
  11. H. Covitz, "Multi-valued contraction mappings in generalized metric spaces", Israel J. Math, 8, pp.5~11 (1970)[DOI]
  12. E. Karapınar, "Fixed points results via simulation functions", Filomat, 30(8), pp.2343~2350 (2016)[DOI]
  13. E. Karapınar, "Interpolative Rus-Reich-Ciri´c type contractions via ´simulation functions", An. S¸tiint¸. Univ. “Ovidius” Constant¸a Ser. Mat., 27(3), pp.137~152 (2019)[DOI]
  14. F. Khojasteh, "A new approach to the study of fixed point theory for simulation functions", Filomat, 29(6), pp.1189~1194 (2015)[DOI]
  15. D. Klim, "Fixed point theorems for set-valued contractions in complete metric spaces", J. Math. Anal. Appl, 334(1), pp.132~139 (2007)[DOI]
  16. X. -L. Liu, "On some results in metric spaces using auxiliary simulation functions via new functions", J. Comput. Anal. Appl, 24(6), pp.1103~1114 (2018)
  17. J. T. Markin, "A fixed point theorem for set valued mappings", Bull. Amer. Math. Soc, 74, pp.639~640 (1968)[DOI]
  18. N. Mizoguchi, "Fixed point theorems for multivalued mappings on complete metric spaces", J. Math. Anal. Appl, 141(1), pp.177~188 (1989)[DOI]
  19. S. B. Nadler, Jr., "Multi-valued contraction mappings", Pacific J. Math., 30, pp.475~488 (1969)
  20. M. Olgun, "A new aspect to Picard operators with simulation functions", Turkish J. Math, 40(4), pp.832~837 (2016)[DOI]
  21. A. Padcharoen, "Generalized Suzuki type Zcontraction in complete metric spaces", Kragujevac J. Math, 42(3), pp.419~430 (2018)[DOI]
  22. S. Radenovi´c, "Simulation type functions and coincidence points", Filomat, 32(1), pp.141~147 (2018)[DOI]
  23. A. -F. Rold´an-L´opez-de-Hierro, "Coincidence point theorems on metric spaces via simulation functions", J. Comput. Appl. Math, 275, pp.345~355 (2015)[DOI]

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