Common new fixed point results on b-cone Banach spaces over Banach algebras

Afshari, Hojjat; Shojaat, Hadi; Fulga, Andreea

doi:10.4995/agt.2022.15571

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Cited by 2 publications

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“…The results proved in this article generalized the results present in [26][27][28][29]. For some more related results, see [30][31][32][33][34].…”

Section: Remarksupporting

confidence: 78%

Strong Convergence Theorems for a Finite Family of Enriched Strictly Pseudocontractive Mappings and ΦT-Enriched Lipschitizian Mappings Using a New Modified Mixed-Type Ishikawa Iteration Scheme with Error

et al. 2022

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In this paper, we introduce two new classes of mappings known as λ-enriched strictly pseudocontractive mappings and ΦT-enriched Lipshitizian mappings in the setup of a real Banach space. In addition, a new modified mixed-type Ishikawa iteration scheme was constructed, and it was proved that our iteration method converges strongly to the common fixed points of finite families of the above mappings in the framework of a real uniformly convex Banach space. Moreover, we provided a non-trivial example to support our main result. Our results extend and generalize several results existing in the literature.

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“…The results proved in this article generalized the results present in [26][27][28][29]. For some more related results, see [30][31][32][33][34].…”

Section: Remarksupporting

confidence: 78%

Strong Convergence Theorems for a Finite Family of Enriched Strictly Pseudocontractive Mappings and ΦT-Enriched Lipschitizian Mappings Using a New Modified Mixed-Type Ishikawa Iteration Scheme with Error

et al. 2022

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Self similarity sets via fixed point theory with lack of convexity

Hadj Amor,

Remadi

2023

Filomat

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A well-known theorem of fractal geometry, presented by J. Hutchinson ([16]), says that there exists a unique compact self similar set with respect to any finite set of contractions on a complete metric space. Motivated by this result, in this paper, we prove fixed set theoretical theorems in order to obtain useful variations of this important result for Meir-Keeler operators and using the technique of measure of weak-noncompactness for operators acting in Banach spaces and Banach algebras.

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Common new fixed point results on b-cone Banach spaces over Banach algebras

Cited by 2 publications

References 26 publications

Strong Convergence Theorems for a Finite Family of Enriched Strictly Pseudocontractive Mappings and ΦT-Enriched Lipschitizian Mappings Using a New Modified Mixed-Type Ishikawa Iteration Scheme with Error

Strong Convergence Theorems for a Finite Family of Enriched Strictly Pseudocontractive Mappings and ΦT-Enriched Lipschitizian Mappings Using a New Modified Mixed-Type Ishikawa Iteration Scheme with Error

Self similarity sets via fixed point theory with lack of convexity

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