Common Fixed Points of a Subfamily of a Nonexpansive Periodic Evolution Family on a Strictly Convex Banach Space | Zendy

Gul Rahmat | Zendy; Tariq Shah | Zendy; Muhammad Sarwar | Zendy; Hassen Aydi | Zendy; Habes Alsamir | Zendy

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Common Fixed Points of a Subfamily of a Nonexpansive Periodic Evolution Family on a Strictly Convex Banach Space

Author(s) -

Gul Rahmat,

Tariq Shah,

Muhammad Sarwar,

Hassen Aydi,

Habes Alsamir

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6668305

Subject(s) - mathematics , banach space , fixed point , bounded function , sequence (biology) , regular polygon , operator (biology) , convergence (economics) , discrete mathematics , pure mathematics , combinatorics , mathematical analysis , biochemistry , chemistry , genetics , geometry , repressor , gene , transcription factor , economics , biology , economic growth

In this study, we establish some results for strong convergence of a sequence to a common fixed point of a subfamily of a nonexpansive and periodic evolution family of bounded linear operators acting on a closed and bounded subset J of a strictly convex Banach space X . In fact, we generalized the results from semigroups of the operator to an evolution family of operators.

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