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FIXED POINT THEOREMS FOR MAPPINGS WHICH SATISFY (HRSC)-CONDITION

1Amasya University
✉ Corresponding author: Nurcan Bilgili Güngör · bilgilinurcan@gmail.com
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Abstract

In 2008 Suzuki introduced C-condition for mappings which defined  on a subset of a Banach space and presented fixed point theorems. And in 2010 Khan and Suzuki gave a reich type convergence theorem for generalized nonexpansive mappings in uniformly convex Banach space. Also in 2013 Karapinar introduced generalized C-conditions for mappings which defined  on a subset of a Banach space and proved related  fixed point theorems. And then in 2015 Thakur, Singh Thahur and Postolache proved fixed point theorems for mapping which satisfy RCSC-condition. In this paper fixed point theorems for mappings spaces which satisfy (HRSC)-condition are proved.

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Cite this article

Bilgili Güngör, N. (2019). FIXED POINT THEOREMS FOR MAPPINGS WHICH SATISFY (HRSC)-CONDITION. In 4th International Symposium on Innovative Approaches in Engineering and Natural Sciences (pp. 532–538). SET Technology. https://doi.org/10.36287/setsci.4.6.151

Article History

Published
22 Dec 2019

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© 2019 SET Technology. This article is distributed under the terms of the CC BY 4.0.

Research Contributions (2019+)Peer reviewed by at least two reviewers
Open AccessCC BY 4.0
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