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Discussions on Recent Results for α‐ψ‐Contractive Mappings

N. Hussain, M. A. Kutbi, S. Khaleghizadeh and P. Salimi

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We establish certain fixed point results for α‐η‐generalized convex contractions, α‐η‐weakly Zamfirescu mappings, and α‐η‐Ćirić strong almost contractions. As an application, we derive some Suzuki type fixed point theorems and certain new fixed point theorems in metric spaces endowed with a graph and a partial order. Moreover, we discuss some illustrative examples to highlight the realized improvements.

Date: 2014
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https://doi.org/10.1155/2014/456482

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