Title of article :
Some approximate fixed point results and application on graph theory for partial (h-F)generalized convex contraction mappings with special class of functions on complete metric space
Author/Authors :
Jaradat ، M. M. M. - Qatar University , Mustafa ، Z. - Qatar University , Ansari ، A. H. - Islamic Azad University, Karaj Branch , Chandok ، S. - Thapar University , Dolicanin ، Cemal - State University of Novi Pazar
Abstract :
In this paper, we introduce a new concept called partial (h-F)generalized (and (h-F)subgeneralized) convex contractions of order 3 (and with rank 3) using some auxiliary functions. Also we present some approximate fixed point results in metric space and approximate fixed point results in metric space endowed with a graph. Some examples are provided to illustrate the main results and to show the essentiality of the given hypotheses.
Keywords :
Ɛ , fixed point , α , admissible , partial (h , F) , generalized convex contractions of order 3 , partial (h , F) , subgeneralized convex contractions of order 3 , α , complete metric spaces , graph
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
