Approximation of the Fixed Point for Unified Three-Step Iterative Algorithm with Convergence Analysis in Busemann Spaces

Almusawa, Hassan; Hammad, Hasanen A.; Sharma, Nisha

doi:10.3390/axioms10010026

Cited by 6 publications

(2 citation statements)

References 32 publications

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“…We could not predict rapid convergence from the sequence of iterations due to the linear convergence rate of the Picard iteration. We could apply a suitable accelerative approach to overcome this problem (for details, see [38][39][40]).…”

Section: Resultsmentioning

confidence: 99%

Analysis of a Class of Stochastic Animal Behavior Models under Specific Choice Preferences

et al. 2022

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The behavior of animals can be studied in two ways: experimentally, in labs or in the field, or theoretically, via modeling. Extensive research on animal behavior in probabilistic learning circumstances has produced findings that are consistent with so-called occurrence studies. However, such cases can be classified into four different events, depending on the location of the food and the side chosen by the animals. This article sought to overcome these limitations by offering a generic stochastic model under these conditions that can be utilized to analyze the broad range of models that have been reported in the literature. We explored the existence, uniqueness, and stability results of the proposed model using well-known fixed-point methods. Additionally, we present some examples to highlight the significance of our results.

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Section: Resultsmentioning

confidence: 99%

Analysis of a Class of Stochastic Animal Behavior Models under Specific Choice Preferences

et al. 2022

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“…Many researchers considered the functionals related to Jensen's inequality and tried to find properties and bound for these functionals (for example, see [23][24][25][26][27][28][29][30]). In the sequel, the set of all nonnegative n-tuples b � (b 1 , .…”

Section: Definition 4 a Function Hmentioning

confidence: 99%

Properties and Bounds of Jensen-Type Functionals via Harmonic Convex Functions

Mughal

Almusawa

Haq

et al. 2021

Journal of Mathematics

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Dragomir introduced the Jensen-type inequality for harmonic convex functions (HCF) and Baloch et al. studied its different variants, such as Jensen-type inequality for harmonic h -convex functions. In this paper, we aim to establish the functional form of inequalities presented by Baloch et al. and prove the superadditivity and monotonicity properties of these functionals. Furthermore, we derive the bound for these functionals under certain conditions. Furthermore, we define more generalized functionals involving monotonic nondecreasing concave function as well as evince superadditivity and monotonicity properties of these generalized functionals.

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Unified Iteration Scheme in CAT(0) Spaces and Fixed Point Approximation of Mean Nonexpansive Mappings

Sharma¹,

Kumar²,

Rathour³

et al. 2022

Trends in Mathematics

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Approximation of the Fixed Point for Unified Three-Step Iterative Algorithm with Convergence Analysis in Busemann Spaces

Cited by 6 publications

References 32 publications

Analysis of a Class of Stochastic Animal Behavior Models under Specific Choice Preferences

Analysis of a Class of Stochastic Animal Behavior Models under Specific Choice Preferences

Properties and Bounds of Jensen-Type Functionals via Harmonic Convex Functions

Unified Iteration Scheme in CAT(0) Spaces and Fixed Point Approximation of Mean Nonexpansive Mappings

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