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Convergence theorem for fixed points of nearly uniformly $L$-Lipschitzian asymptotically generalized $\Phi$-hemicontractive mappings. (English) Zbl 1239.47055
From the summary: We introduce the new class of asymptotically generalized $\Phi$-hemicontractive mappings and establish a strong convergence theorem for the iterative sequence generated by these mappings in a general Banach space.
##### MSC:
 47J25 Iterative procedures (nonlinear operator equations) 47H09 Mappings defined by “shrinking” properties 47H10 Fixed-point theorems for nonlinear operators on topological linear spaces
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##### References:
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