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Volume 55, Issue 4
A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces

Chao Wang & Honglei Fan

DOI: 10.4208/jms.v55n4.22.06

J. Math. Study, 55 (2022), pp. 432-444.

Published online: 2022-11

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  • Abstract

In uniformly convex metric spaces, we study the existence and uniqueness of a common fixed point for a pair of generalized nonexpansive mappings with some weak conditions. Meanwhile, we introduce a new Krasnoselskii type iterative algorithm for approximating the common fixed point. A numerical example is also given to demonstrate the main result. Our results generalize and improve some recent corresponding results.

  • Keywords

Common fixed point, a pair of generalized nonexpansive mappings, Krasnoselskii type iterative algorithm, uniformly convex metric spaces.

  • AMS Subject Headings

47H10, 47H17

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

wangchaosx@126.com (Chao Wang)

1359254452@qq.com (Honglei Fan)

  • BibTex
  • RIS
  • TXT
@Article{JMS-55-432, author = {Wang , Chao and Fan , Honglei}, title = {A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces}, journal = {Journal of Mathematical Study}, year = {2022}, volume = {55}, number = {4}, pages = {432--444}, abstract = {

In uniformly convex metric spaces, we study the existence and uniqueness of a common fixed point for a pair of generalized nonexpansive mappings with some weak conditions. Meanwhile, we introduce a new Krasnoselskii type iterative algorithm for approximating the common fixed point. A numerical example is also given to demonstrate the main result. Our results generalize and improve some recent corresponding results.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v55n4.22.06}, url = {http://global-sci.org/intro/article_detail/jms/21163.html} }
TY - JOUR T1 - A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces AU - Wang , Chao AU - Fan , Honglei JO - Journal of Mathematical Study VL - 4 SP - 432 EP - 444 PY - 2022 DA - 2022/11 SN - 55 DO - http://doi.org/10.4208/jms.v55n4.22.06 UR - https://global-sci.org/intro/article_detail/jms/21163.html KW - Common fixed point, a pair of generalized nonexpansive mappings, Krasnoselskii type iterative algorithm, uniformly convex metric spaces. AB -

In uniformly convex metric spaces, we study the existence and uniqueness of a common fixed point for a pair of generalized nonexpansive mappings with some weak conditions. Meanwhile, we introduce a new Krasnoselskii type iterative algorithm for approximating the common fixed point. A numerical example is also given to demonstrate the main result. Our results generalize and improve some recent corresponding results.

Chao Wang & Honglei Fan. (2022). A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces. Journal of Mathematical Study. 55 (4). 432-444. doi:10.4208/jms.v55n4.22.06
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