Some Convergence and Stability Results for Two New Kirk Type Hybrid Fixed Point Iterative Algorithms

We introduce Kirk-multistep-SP and Kirk-S iterative algorithms and we prove some convergence and stability results for these iterative algorithms. Since these iterative algorithms are more general than some other iterative algorithms in the existing literature, our results generalize and unify some...

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Main Authors: Faik Gürsoy, Vatan Karakaya
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/684191
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author Faik Gürsoy
Vatan Karakaya
author_facet Faik Gürsoy
Vatan Karakaya
author_sort Faik Gürsoy
collection DOAJ
description We introduce Kirk-multistep-SP and Kirk-S iterative algorithms and we prove some convergence and stability results for these iterative algorithms. Since these iterative algorithms are more general than some other iterative algorithms in the existing literature, our results generalize and unify some other results in the literature.
format Article
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-66002780208741709dacbe9dcaa92b8a2025-02-03T05:49:43ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/684191684191Some Convergence and Stability Results for Two New Kirk Type Hybrid Fixed Point Iterative AlgorithmsFaik Gürsoy0Vatan Karakaya1Department of Mathematics, Yıldız Technical University, Davutpasa Campus, Esenler, 34220 Istanbul, TurkeyDepartment of Mathematical Engineering, Yıldız Technical University, Davutpasa Campus, Esenler, 34210 Istanbul, TurkeyWe introduce Kirk-multistep-SP and Kirk-S iterative algorithms and we prove some convergence and stability results for these iterative algorithms. Since these iterative algorithms are more general than some other iterative algorithms in the existing literature, our results generalize and unify some other results in the literature.http://dx.doi.org/10.1155/2014/684191
spellingShingle Faik Gürsoy
Vatan Karakaya
Some Convergence and Stability Results for Two New Kirk Type Hybrid Fixed Point Iterative Algorithms
Journal of Function Spaces
title Some Convergence and Stability Results for Two New Kirk Type Hybrid Fixed Point Iterative Algorithms
title_full Some Convergence and Stability Results for Two New Kirk Type Hybrid Fixed Point Iterative Algorithms
title_fullStr Some Convergence and Stability Results for Two New Kirk Type Hybrid Fixed Point Iterative Algorithms
title_full_unstemmed Some Convergence and Stability Results for Two New Kirk Type Hybrid Fixed Point Iterative Algorithms
title_short Some Convergence and Stability Results for Two New Kirk Type Hybrid Fixed Point Iterative Algorithms
title_sort some convergence and stability results for two new kirk type hybrid fixed point iterative algorithms
url http://dx.doi.org/10.1155/2014/684191
work_keys_str_mv AT faikgursoy someconvergenceandstabilityresultsfortwonewkirktypehybridfixedpointiterativealgorithms
AT vatankarakaya someconvergenceandstabilityresultsfortwonewkirktypehybridfixedpointiterativealgorithms