On constrained minimization, variational inequality and split feasibility problem via new iteration scheme in Banach spaces

Garodia, Chanchal; Uddin, Izhar; Băleanu, Dumitru

doi:10.1007/s41980-021-00596-6

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Lemma 7 ([31]1

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Cited by 9 publications

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“…Khunpanuk et al [36] worked on a proximal point algorithm for solving common fixed-point problems and convex minimization problems in Geodesic spaces with positive curvature. Garodia et al [37] worked on constrained minimization, variational inequality and a split feasibility problem via a new iteration scheme in Banach spaces. Abass et al [38] worked on a common solution of the family of minimization problems and fixedpoint problems for multivalued type-one demicontractive mappings.…”

Section: Lemma 7 ([31]mentioning

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.

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Section: Lemma 7 ([31]mentioning

confidence: 99%