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LetX be a real Banach space, letA:D(A) ⊆X →X be anm-dissipative operator, letI a nonempty, bounded interval And letK:I →D(A) be a given multi-valued function. By using the concept ofA-quasi-tangent set introduced by CârjĂ, Necula, Vrabie [8] And [9] And using a tangency condition expressed in the terms of this concept, we establish a necessary And sufficient condition forC0-viability referring to...
Let X be a real Banach space, let A: D(A) ⊆ X ⇝ X be an m-dissipative operator, let I a nonempty, bounded interval And let K: $$ K:I \rightsquigarrow \overline {D(A)} $$ be a given multi-valued function. By using the concept of A-quasi-tangent set introduced by Cârjă, Necula, Vrabie [8] And [9] And using a tangency condition expressed in the terms of this concept, we establish a necessary And...
In this paper, we introduce common approximate $$f$$ -endpoint property for multi-valued mapping $$T:X\rightarrow P_{cl,bd}(X)$$ to obtain a necessary and sufficient condition for existence of a unique common $$f$$ -endpoint for such multi-valued mappings. Our results extend and unify comparable results in existing literature (see for example, Kamran in Nonlinear Anal (TMA) 67:2289–2296,...
Our purpose in this paper is to construct Ishikawa iterative scheme formulti-valued non-self mappings in CAT(0) spaces. Then we obtain strong convergence of the scheme to a fixed point of multi-valued hemicontractive non-self mapping in a complete CAT(0) space. In addition, we define pseudocontractive mapping in CAT(0) spaces and show that a pseudocontractive mapping T with $$F(T)\not =\emptyset...
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