A novel iteration algorithm for a hybrid pair of total asymptotically non-expansive single-valued and total asymptotically quasi-non-expansive multi-valued non-self mappings in Banach spaces

Agwu, Imo Kalu

doi:10.30697/rfpta-2020-007

Cited by 2 publications

(2 citation statements)

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“…1 ). (b) asymptotically nonexpansive (see [17], [1]) if for all x, y ∈ D(V ), there exists a sequence {µ n } ⊆ [1, ∞) with lim n→∞ µ n = 1 such that…”

Section: Introductionmentioning

confidence: 99%

A Modified Proximal Point Algorithm for Finite Families of Minimization Problems and Fixed Point Problems of Asymptotically Quasi-nonexpansive Multivalued Mappings

Agwu

Igbokwe

2022

Punjab Univ. j. math.

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ln this paper, a new iterative algorithm for ﬁnding common ele-ments of the set of ﬁxed points for a ﬁnite family of asymptotically quasi-nonexpansive multivalued mappings and the set of minimizers for a ﬁnite family of minimization problem is constructed. Under mild conditions on the control sequences, strong convergence of our algorithm was achieved without necessarily imposing any compactness condition on the space or the operator by using an independent approach. Our results improve, ex-tend and generalize many important results recently announced in current literature.

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“…1 ). (b) asymptotically nonexpansive (see [17], [1]) if for all x, y ∈ D(V ), there exists a sequence {µ n } ⊆ [1, ∞) with lim n→∞ µ n = 1 such that…”

Section: Introductionmentioning

confidence: 99%

A Modified Proximal Point Algorithm for Finite Families of Minimization Problems and Fixed Point Problems of Asymptotically Quasi-nonexpansive Multivalued Mappings

Agwu

Igbokwe

2022

Punjab Univ. j. math.

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“…(3) asymptotically quasi-nonexpansive mapping in [13], if F(∆) = ∅ and (3) holds; that is, if F(∆) = ∅ and for all ( × q) ∈ D(∆) × F(∆), there exists a sequence {µ n } ⊂ [1, +∞) with lim n→+∞ µ n = 1 such that…”

Section: Introductionmentioning

confidence: 99%

Approximating Common Solution of Minimization Problems Involving Asymptotically Quasi-Nonexpansive Multivalued Mappings

et al. 2022

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In this paper, an iterative scheme for finding common solutions of the set of fixed points for a pair of asymptotically quasi-nonexpansive mapping and the set of minimizers for the minimization problem is constructed. Using the idea of the jointly demicloseness principle, strong convergence results are achieved without imposing any compactness condition on the space or the operator. Our results improve, extend and generalize many important results in the literature.

show abstract

A novel iteration algorithm for a hybrid pair of total asymptotically non-expansive single-valued and total asymptotically quasi-non-expansive multi-valued non-self mappings in Banach spaces

Cited by 2 publications

References 0 publications

A Modified Proximal Point Algorithm for Finite Families of Minimization Problems and Fixed Point Problems of Asymptotically Quasi-nonexpansive Multivalued Mappings

A Modified Proximal Point Algorithm for Finite Families of Minimization Problems and Fixed Point Problems of Asymptotically Quasi-nonexpansive Multivalued Mappings

Approximating Common Solution of Minimization Problems Involving Asymptotically Quasi-Nonexpansive Multivalued Mappings

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