International Journal of Statistics and Applied Mathematics
2017, Vol. 2, Issue 5, Part A
A general approach to defining a contractive like multi-valued mappingAuthor(s):
The objective of this work is to illustrate a new concept to examine the existence of fixed points for multivalued F
-contraction in the. In this generalize approach, we present the idea of multivalued F
-contraction and also proved corresponding fixed point theorems in overall modular metric space with some specific assumption. We justify fixed point theorems for F-contractions of Hardy–Rogers type involving self-mappings characterized on metric spaces as well as ordered metric spaces. Then we implement our findings to create the existence of solutions for non-linear integral equations of certain type. An example as well as its application to multistage decision processes are illustrated to describe the usability of the derived theorems.Pages: 58-64 | Views: 642 | Downloads: 20Download Full Article: Click Here
How to cite this article:
Sanyogita. A general approach to defining a contractive like multi-valued mapping. International Journal of Statistics and Applied Mathematics. 2017; 2(5): 58-64.