Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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FIXED POINT THEOREMS FOR (𝛼, p)-NONEXPANSIVE MAPPINGS IN CAT(0) SPACES

  • Received : 2020.09.12
  • Accepted : 2021.04.11
  • Published : 2021.12.15
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Abstract

We present some fixed point theorems for ((𝛼1, 𝛼2, ⋯, 𝛼n), p)-nonexpansive mappings in CAT(0) spaces. Moreover the properties of the fixed points set are studied. Many of them have been derived from new condition on these mappings, which makes the nonexpansive mapping T𝛼 := 𝛼1T ⊕ 𝛼2T2 ⊕ ⋯ ⊕ 𝛼nTn.

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Acknowledgement

The authors wish to thank the expert referee for his/her corrections and remarks.

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