Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak convergence of the iterations for asymptotically $G$-nonexpansive
  maps on Banach spaces with a graph   We have derived that on certain Banach spaces having a graph structure $G$,
the iterations for asymptotically $G$-nonexpansive map will converge weakly
towards a fixed point. This result unifies and extends several theorems on
fixed points proved by various authors for class of nonexpansive and
asymptotically nonexpansive maps. As an application of this result, we derive
that for maps satisfying the nonexpansive condition locally on special Banach
spaces, the successive approximations converge weakly towards a fixed point.

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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex