• Home
  • Seyed Jalaledin Hosseini Ghoncheh
  • OpenAccess
    • List of Articles Seyed Jalaledin Hosseini Ghoncheh

      • Open Access Article

        1 - Some fi xed points for J-type multi-valued maps in CAT(0) spaces
        S. Jalal Hosseini Ghoncheh H. Salahi fard
        In this paper, we prove the existence of fi xed point for J-type multi-valuedmap T in CAT(0) spaces and also we prove the strong convergence theoremsfor Ishikawa iteration scheme without using the xed point of involving map.
        In this paper, we prove the existence of fi xed point for J-type multi-valuedmap T in CAT(0) spaces and also we prove the strong convergence theoremsfor Ishikawa iteration scheme without using the xed point of involving map. Manuscript profile
      • Open Access Article

        2 - Approximating xed points of generalized non-expansive non-self mappings in CAT(0) spaces
        Saeed Saeed Shabani S.J. Hoseini Ghoncheh
        Suppose K is a nonempty closed convex subset of a complete CAT(0) spaceX with the nearest point projection P from X onto K. Let T : K →X be anonself mapping, satisfying condition (C) with F(T) :={ x εK : Tx = x}≠Φ.Suppose fxng is generated iterativel More
        Suppose K is a nonempty closed convex subset of a complete CAT(0) spaceX with the nearest point projection P from X onto K. Let T : K →X be anonself mapping, satisfying condition (C) with F(T) :={ x εK : Tx = x}≠Φ.Suppose fxng is generated iteratively by x1εK, xn+1 = P((1- αn)xn+αnTP[(1- αn)xn+β nTxn]),n≥1, where {αn}and {βn} are real sequences in[ε,1-ε] for some  ε in(0,1). Then {xn} is Δ-􀀀convergence to some point x* inF(T). This work extends a result of Laowang and Panyanak [5] to the case ofgeneralized nonexpansive nonself mappings. Manuscript profile