Resolvent function in Geodesic space
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I am middle of solving problem in CAT(1) space, and as we know $R_fx={f(y)+tanx.sinx}$ is the resolvent of f where f is proper lower semi-continuous.
so i just want to Know that resolvent function will be act like identity operate as same as in CAT(0) space,what i really mean does it holds in CAT(1) space $d(R_fx_n,q)leq d(x_n,q)$ as this inequality holds in CAT(0) space
if someone suggest me book from where i can clear stuff like that will be appreciated.
functional-analysis convex-optimization geodesic
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add a comment |
$begingroup$
I am middle of solving problem in CAT(1) space, and as we know $R_fx={f(y)+tanx.sinx}$ is the resolvent of f where f is proper lower semi-continuous.
so i just want to Know that resolvent function will be act like identity operate as same as in CAT(0) space,what i really mean does it holds in CAT(1) space $d(R_fx_n,q)leq d(x_n,q)$ as this inequality holds in CAT(0) space
if someone suggest me book from where i can clear stuff like that will be appreciated.
functional-analysis convex-optimization geodesic
$endgroup$
add a comment |
$begingroup$
I am middle of solving problem in CAT(1) space, and as we know $R_fx={f(y)+tanx.sinx}$ is the resolvent of f where f is proper lower semi-continuous.
so i just want to Know that resolvent function will be act like identity operate as same as in CAT(0) space,what i really mean does it holds in CAT(1) space $d(R_fx_n,q)leq d(x_n,q)$ as this inequality holds in CAT(0) space
if someone suggest me book from where i can clear stuff like that will be appreciated.
functional-analysis convex-optimization geodesic
$endgroup$
I am middle of solving problem in CAT(1) space, and as we know $R_fx={f(y)+tanx.sinx}$ is the resolvent of f where f is proper lower semi-continuous.
so i just want to Know that resolvent function will be act like identity operate as same as in CAT(0) space,what i really mean does it holds in CAT(1) space $d(R_fx_n,q)leq d(x_n,q)$ as this inequality holds in CAT(0) space
if someone suggest me book from where i can clear stuff like that will be appreciated.
functional-analysis convex-optimization geodesic
functional-analysis convex-optimization geodesic
asked Jan 20 at 19:15
Wakeel AhmedWakeel Ahmed
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