Nonlinear Functional Analysis and Applications

  • 제29권1호
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  • Pages.1-14
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  • 2024
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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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CONVERGENCE THEOREMS FOR GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY HYPERBOLIC SPACES

  • J. K. Kim (Department of Mathematics Education, Kyungnam University) ;
  • Samir Dashputre (Department of Mathematics, Shahid Durwasha Nishad, Govt. College Arjunda) ;
  • Padmavati (Department of Mathematics, Govt. V.Y.T. Autonomous P.G. College) ;
  • Rashmi Verma (Department of Applied Mathematics, Shri Shankaracharya Institute of Professional Management and Technology)
  • 투고 : 2023.01.15
  • 심사 : 2023.06.02
  • 발행 : 2024.03.15
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초록

In this paper, we establish strong and ∆-convergence theorems for new iteration process namely S-R iteration process for a generalized α-nonexpansive mappings in a uniformly convex hyperbolic space and also we show that our iteration process is faster than other iteration processes appear in the current literature's. Our results extend the corresponding results of Ullah et al. [5], Imdad et al. [16] in the setting of uniformly convex hyperbolic spaces and many more in this direction.

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참고문헌

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