N-Coincidence and Common N-fixed Point for Hybrid Pair of Mappings in Partially Ordered Metric Spaces
R. A. Rashwan *
Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt.
I. M. Shimaa
Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt.
*Author to whom correspondence should be addressed.
Abstract
In present paper we introduce the concepts of mixed g-monotone property and △g-symmetric property, where g is single valued mapping, for multi-valued mapping under any number of variables and use it to obtain some existence and uniqueness fixed points for hybrid pair of mappings under general contractive conditions in partially ordered metric spaces. Our results are generalizations of several results in this direction. We equipped this paper with examples in order to illustrate the effectiveness of our generalizations.
Keywords: N-coincidence point, Common N-fixed point, Ordered metric spaces, Mixed g-monotone property, △g -symmetric property, W-compatible mappings