FIXED POINT THEOREMS FOR (α,p)-NONEXPANSIVE MAPPINGS IN CAT(0) SPACES

Authors

  • Mehdi Asadi Department of Mathematics, Zanjan Branch, Islamic Azad University
  • Shahrokh Ghasemzadehdibagi Department of Mathematics, Hamedan Branch, Islamic Azad University
  • Somayeh Haghayeghi Department of Mathematics, Karaj Branch, Islamic Azad University
  • Naeem Ahmad Mathematics Department, College Of Science, Jouf’ University

Abstract

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.

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Published

2021-12-31

Issue

Volume 26, Number 5, December 2021 (Special Issue)

Section

Articles