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New fixed point results for maps satisfying implicit relations on ordered metric spaces and application

โœ Scribed by Nashine, Hemant Kumar; Altun, Ishak

Book ID
124110225
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
440 KB
Volume
240
Category
Article
ISSN
0096-3003

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Let (X, ) be a partially ordered set and d be a complete metric on X . Let F , G be two setvalued mappings on X . We obtained sufficient conditions for the existence of common fixed point of F and G satisfying an implicit relation in partially ordered set X .

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โœ Hemant Kumar Nashine; Bessem Samet ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 232 KB

We establish coincidence fixed point and common fixed point theorems for mappings satisfying (ฯˆ, ฯ•)-weakly contractive condition in an ordered complete metric space. Some applications of our obtained results are given.