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Some fixed point theorems for weakly Picard operators in complete metric spaces and applications

Bui The Hung|Doan Trong Hieu
대한수학회 (The Korean Mathematical Society)|2022.01|대한수학회논문집 (Communications of the KMS)|제37권 제1호|pp. 75-89|DOI 10.4134/CKMS.c200411

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키워드

Fixed pointmetric spacesweakly Picard operator
주제분류수학

초록

In this paper, we prove new fixed point theorems for single-valued and multi-valued weakly Picard operators in complete metric \linebreak spaces and give several examples. As applications, we give several results to Fredholm integral equation.

Abstract

In this paper, we prove new fixed point theorems for single-valued and multi-valued weakly Picard operators in complete metric \linebreak spaces and give several examples. As applications, we give several results to Fredholm integral equation.

참고문헌 (13)

  1. Swati Anta, "Common fixed point for generalized multivalued mappings via simulation function in metric spaces", 대한수학회논문집, 35(4), pp.1107~1121 (2020), 대한수학회[DOI]
  2. Mădălina Berinde, "On a general class of multi-valued weakly Picard mappings", Journal of Mathematical Analysis and Applications, 326(2), pp.772~782 (2007), Elsevier BV[DOI]
  3. J. Caristi, "Fixed point theorems for mappings satisfying inwardness conditions", Trans. Amer. Math. Soc, 215, pp.241~251 (1976)[DOI]
  4. Lj. B. Ciric, "A Generalization of Banach's Contraction Principle", Proceedings of the American Mathematical Society, 45(2), pp.267~273 (1974), JSTOR[DOI]
  5. Long-Guang Huang, "Cone metric spaces and fixed point theorems of contractive mappings", Journal of Mathematical Analysis and Applications, 332(2), pp.1468~1476 (2007), Elsevier BV[DOI]
  6. Farshid Khojasteh, "A new approach to the study of fixed point theory for simulation functions", Filomat, 29(6), pp.1189~1194 (2015), National Library of Serbia[DOI]
  7. W.A. Kirk, "Fixed points of asymptotic contractions", Journal of Mathematical Analysis and Applications, 277(2), pp.645~650 (2003), Elsevier BV[DOI]
  8. S. B. Nadler, Jr., "Multi-valued contraction mappings", Pacic J. Math, 30, pp.475~488 (1969)[DOI]
  9. Murat OLGUN, "A new aspect to Picard operators with simulation functions", TURKISH JOURNAL OF MATHEMATICS, 40, pp.832~837 (2016), The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS[DOI]
  10. A. Padcharoen, "Generalized Suzuki type Z-contraction in complete metric spaces", Kragujevac Journal of Mathematics, 42(3), pp.419~430 (2018), University Library in Kragujevac[DOI]
  11. P. V. Subrahmanyam, "Remarks on some fixed-point theorems related to Banach's con-traction principle", J. Math. Phys. Sci, 8, pp.445~457 (1974)
  12. Tomonari Suzuki, "Generalized Distance and Existence Theorems in Complete Metric Spaces", Journal of Mathematical Analysis and Applications, 253(2), pp.440~458 (2001), Elsevier BV[DOI]
  13. T. Suzuki, "A generalized Banach contraction principle that characterizes metric com-pleteness", Proc. Amer. Math. Soc, 136, pp.1861~1869 (2007)

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