Altering distances and fixed point results for tangential hybrid pairs of mappings
Abstract
The aim of this paper is to prove a general fixed point result by altering distances for two occasionally weakly compatible (owc) pairs of hybrid mappings and to reduce the study of fixed points of the pairs of mappings satisfying a contractive condition of integral type at the study of fixed points in metric spaces by altering distances satisfying a new type of implicit relations generalizing the result recently obtained by H.K. Pathak and Naseer Shahzad (see Bull. Belg. Math. Soc. Simon Stevin, 16 (2009), 1-12) which is of Gregus type.
Keywords
common fixed point; occasionally weakly compatible mappings; occasionally compatible hybrid pair of mappings; property (E.A); D-mappings; weak tangent points; tangential pairs of mappings; contractive condition of integral type; implicit relations; altering distances
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Département de Mathématiques, Faculté des Sciences-Semlalia, Université Cadi Ayyad, Morocco Morocco
Universitatea Vasile Alecsandri, Romania Romania
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