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SETSCI - Volume 4 (6) (2019)
ISAS WINTER-2019 (ENS) - 4th International Symposium on Innovative Approaches in Engineering and Natural Sciences, Samsun, Turkey, Nov 22, 2019

FIXED POINT THEOREMS FOR MAPPINGS WHICH SATISFY (HRSC)-CONDITION
Nurcan Bilgili Güngör1*
1Amasya University, Amasya, Turkey
* Corresponding author: bilgilinurcan@gmail.com
Published Date: 2019-12-22   |   Page (s): 532-538   |    213     2
https://doi.org/10.36287/setsci.4.6.151

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.
KEYWORDS fixed point , C-condition, nonexpansive mappings, uniformly convex Banach space
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