Nonlinear Functional Analysis and Applications

  • 제26권5호
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  • Pages.903-915
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  • 2021
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  • 1229-1595(pISSN)
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  • 2466-0973(eISSN)
경남대학교 수학교육과 (Kyungnam University, Department of Mathematics Eduaction)
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APPLICATION AND FIXED POINT THEOREMS FOR ORTHOGONAL GENERALIZED F-CONTRACTION MAPPINGS ON O-COMPLETE METRIC SPACE

  • Mani, Gunaseelan (Department of Mathematics, Sri Sankara Arts and Science College(Autonomous) Affiliated to Madras University) ;
  • Prakasam, A. Leema Maria (PG and Research Department of Mathematics, Holy Cross College (Autonomous) Affiliated to Bharathidasan University) ;
  • Mishra, Lakshmi Narayan (Department of Mathematics, School of Advanced Sciences Vellore Institute of Technology (VIT) University) ;
  • Mishra, Vishnu Narayan (Department of Mathematics, Indira Gandhi National Tribal University)
  • 투고 : 2020.08.13
  • 심사 : 2021.04.10
  • 발행 : 2021.12.15
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초록

In this paper, we introduce the concepts of an orthogonal generalized F-contraction mapping and prove some fixed point theorems for a self mapping in an orthogonal metric space. The given results are generalization and extension some of the well-known results in the literature. An example to support our result is presented.

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참고문헌

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