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FIXED POINT THEOREMS FOR (α,p)-NONEXPANSIVE MAPPINGS IN CAT(0) SPACES
Mehdi Asadi,Shahrokh Ghasemzadehdibagi,Somayeh Haghayeghi,Naeem Ahmad 경남대학교 수학교육과 2021 Nonlinear Functional Analysis and Applications Vol.26 No.5
We present some fixed point theorems for ((α_1, α_2, · · · , α_n), 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 nonexpansivemapping T_α :=α_1 T ⊕ α_2 T^2 ⊕ ·· ·⊕ α_n T^n.