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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2017 / Cilt: 66 - Sayı: 2

Common fixed point results for a banach operator pair in cat(0) spaces with applications

Safeer Hussain KHAN
Mujahid ABBAS
Pages
195–204
Publication Date
2017-08-01
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Our results generalize various known results in contemporary literature

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, sufficient conditions for the existence of a common fixed point for a Banach operator pair of mappings satisfying generalized contractive conditions in the frame work of CAT(0) spaces are obtained.
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Key Findings & Data:As an application, related results on best approximation are derived.
💡
Conclusion & Impact:Our results generalize various known results in contemporary literature
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:CAT(0) space · common fixed point · best approximation

Abstract

In this paper, sufficient conditions for the existence of a common fixed point for a Banach operator pair of mappings satisfying generalized contractive conditions in the frame work of CAT(0) spaces are obtained. As an application, related results on best approximation are derived. Our results generalize various known results in contemporary literature

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Cite This Article

KHAN, S. H., ABBAS, M. (2017). Common fixed point results for a banach operator pair in cat(0) spaces with applications. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 66 - Sayı: 2, 195–204. https://ajindex.com/articles/747242

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