Well-posedness of the fixed point problem for certain asymptotically regular mappings
Abstract
We study the well-posedness of the fixed point problem for asymptotically regular self-mappings of a complete metric space (X,d) which satisfy the contractive condition (2.1) described below. This contractive condition is a variant of the contractive condition considered in [6]. The results of this paper provide some improvements and extensions to the results of Ciric [6], Sharma and Yuel [19], and Guay and Singh [7]. This work is inspired and motivated by the paper [6].
Keywords
well-posedness; fixed point problem; fixed points; self-mappings; asymptotically regular mappings; complete and non complete metric spaces; orbitally complete spaces
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Département de Mathématiques, Faculté des Sciences, Université Cadi Ayyad, Morocco Morocco
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