The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying 41 – 60 of 137

Showing per page

On Diviccaro, Fisher and Sessa open questions

Ljubomir B. Ćirić (1993)

Archivum Mathematicum

Let K be a closed convex subset of a complete convex metric space X and T , I : K K two compatible mappings satisfying following contraction definition: T x , T y ) ( I x , I y ) + ( 1 - a ) max { I x . T x ) , I y , T y ) } for all x , y in K , where 0 < a < 1 / 2 p - 1 and p 1 . If I is continuous and I ( K ) contains [ T ( K ) ] , then T and I have a unique common fixed point in K and at this point T is continuous. This result gives affirmative answers to open questions set forth by Diviccaro, Fisher and Sessa in connection with necessarity of hypotheses of linearity and non-expansivity of I in their Theorem [3]...

Currently displaying 41 – 60 of 137