Extensions and applications of ACF mappings

Jean Philippe Chancelier

doi:10.1016/j.jmaa.2013.03.065

Extensions and applications of ACF mappings

Jean Philippe Chancelier

Research output: Contribution to journal › Article › peer-review

Abstract

Using a definition of ASF sequences derived from the definition of asymptotic contractions of the final type of ACF, we give some new fixed point theorem for cyclic mappings and an alternating mapping which extend results from Suzuki (2007). [8,Theorem 2] and Zhang (2007). [10,Theorem 1].

Original language	English
Pages (from-to)	466-474
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	405
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2013.03.065
Publication status	Published - 15 Sept 2013

Keywords

ACF mappings
Fixed points
Meir-Keeler contraction
Nonexpansive mappings

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10.1016/j.jmaa.2013.03.065

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title = "Extensions and applications of ACF mappings",

abstract = "Using a definition of ASF sequences derived from the definition of asymptotic contractions of the final type of ACF, we give some new fixed point theorem for cyclic mappings and an alternating mapping which extend results from Suzuki (2007). [8,Theorem 2] and Zhang (2007). [10,Theorem 1].",

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AB - Using a definition of ASF sequences derived from the definition of asymptotic contractions of the final type of ACF, we give some new fixed point theorem for cyclic mappings and an alternating mapping which extend results from Suzuki (2007). [8,Theorem 2] and Zhang (2007). [10,Theorem 1].

KW - ACF mappings

KW - Fixed points

KW - Meir-Keeler contraction

KW - Nonexpansive mappings

UR - https://www.scopus.com/pages/publications/84878380759

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DO - 10.1016/j.jmaa.2013.03.065

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AN - SCOPUS:84878380759

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VL - 405

SP - 466

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Extensions and applications of ACF mappings

Abstract

Keywords

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