Fixed point approximation for S K C $SKC$ -mappings in hyperbolic spaces

In this paper, we establish the existence of a fixed point for generalized nonexpansive multivalued mappings in hyperbolic spaces and we prove some -convergence and strong convergence theorems for the iterative scheme proposed by Chang et al. (Appl Math Comp 249:535–540, 2014) to approximate a fixed point for generalized nonexpansive multivalued mapping under suitable conditions. Our results are the extension and improvements of the recent well-known results announced in the current literature.

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“…( 2014a ) (see the single valued version, Kim et al. 2015 ; Kim and Dashputre 2015 ; Agarwal et al. 2007 ).…”

Section: Resultsmentioning

confidence: 99%

Convergence theorems for generalized nonexpansive multivalued mappings in hyperbolic spaces

et al. 2016

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“…Many researchers attracted in the direction of approximating the fixed points of nonexpansive mapping and its generalized form [4,5,9,14,16,17,19,20,21,30] in a hyperbolic space.…”

Section: Preliminariesmentioning

confidence: 99%

On fixed point convergence results for class of nonexpansivemappings in hyperbolic spaces via PJ iteration process

Shrivas,

Verma,

Chandraker

2024

IJAMR

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In this paper, we provide certain fixed point results for a mean nonexpansive mapping, as well as a new iterative algorithm called PJ-iterationfor approximating the fixed point of this class of mappings in the setting of hyperbolic spaces. Furthermore, we establish strong and∆-convergence theorem for mean nonexpansive mapping in hyperbolic space. Finally, we present a numerical example to illustrate ourmain result and then display the efficiency of the proposed algorithm compared to different iterative algorithms in the literature. Our resultsobtained in this paper improve, extend and unify some related results in the literature.

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“…Teachers' teaching and students' learning are no longer limited to the classroom, The teaching mode of blackboard and chalk based on knowledge transfer will be changed to an intelligent learning environment based on exploration, collaboration, and personalization supported by intelligent devices. In recent years, many countries have been exploring new forms of schools, such as Vitra creative school, a "school without classrooms" in Sweden, and ALT school in the United States [1]. The intelligent learning environment is characterized by interaction, integration, and sharing.…”

Section: ) Ai Promotes An Intelligent Education Environmentmentioning

confidence: 99%

“…AI originated in the United States, McCarthy first proposed it at the Dartmouth conference and officially came out, in 1956 [1]. In recent years, with the rapid development of virtual reality, cloud computing, and big data, AI has been widely used in smart homes, smart campuses, intelligent transportation, intelligent medical care, and other fields.…”

Section: Introductionmentioning

confidence: 99%

Higher education worries and response in the era of artificial intelligence

Yang

2023

Education

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The rapid development of artificial intelligence (AI) has promoted the reform of higher education in the form of a technological revolution. The internal mechanism of the development of the higher education system and the intervention of the external environment have promoted the development of higher education with the times, and also brought opportunities and concerns for the development of higher education. In the era of AI, the thinking of teachers and students is weak, and the learning environment and mode change, resulting in moral problems and technical fanaticism. How does higher education develop well in the era of AI? Thinking and answering these deep-seated questions will be the key to determining how far AI will go in the field of education, and also the response of higher education to the era of AI.

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Fixed point approximation for S K C $SKC$ -mappings in hyperbolic spaces

Cited by 5 publications

References 23 publications

Convergence theorems for generalized nonexpansive multivalued mappings in hyperbolic spaces

Convergence theorems for generalized nonexpansive multivalued mappings in hyperbolic spaces

On fixed point convergence results for class of nonexpansivemappings in hyperbolic spaces via PJ iteration process

Higher education worries and response in the era of artificial intelligence

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