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2013•International Journal of AnalysisOpen access

Common Fixed Point Theorems for α - ψ -Contractive Type Mappings

Jalal Hassanzadeasl

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Abstract

Recently, Samet et al. (2012) introduced the notion of α - ψ -contractive type mappings. They established some fixed point theorems for these mappings in complete metric spaces. In this paper, we introduce the notion of a coupled α - ψ -contractive mapping and give a common fixed point result about the mapping. Also, we give a result of common fixed points of some coupled self-maps on complete metric spaces satisfying a contractive condition.

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What this paper is about

Recently, Samet et al. (2012) introduced the notion of α - ψ -contractive type mappings. They established some fixed point theorems for these mappings in complete metric spaces. In this paper, we introduce the notion of a coupled α - ψ -contractive mapping and give a common fixed point result about the mapping. Also, we give a result of common fixed points of some coupled self-maps on complete metric spaces satisfying a contractive condition.

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Available abstract

Recently, Samet et al. (2012) introduced the notion of α - ψ -contractive type mappings. They established some fixed point theorems for these mappings in complete metric spaces. In this paper, we introduce the notion of a coupled α - ψ -contractive mapping and give a common fixed point result about the mapping. Also, we give a result of common fixed points of some coupled self-maps on complete metric spaces satisfying a contractive condition.

Key concepts: Algorithm, Mathematics, Metric (unit), Computer science, Economics, Operations management

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