Multivalued relation-theoretic graph contraction principle with applications
نویسندگان
1 Department of Mathematics, Graphic Era (Deemed to be) University, Dehradun, Uttarakhand, India
2 Department of Mathematics, HNB Garhwal University, Campus Pauri, Uttarakhand, India
3 Department of Mathematics, Graphic Era Hill University, Uttarakhand, India
4 Government Degree college, Purwala Dogi, Uttarakhand, India
5 Department of Mathematics, HNB Garhwal University, Srinagar(Garhwal), Uttarakhand, India
doi
10.22075/ijnaa.2022.22536.2381چکیده
In this paper, we present a new generalization of Nadler's fixed point theorem for multivalued relation-theoretic graph contractions on relational metric spaces. Our results extend and generalize the result of Shukla and Rodriguez-Lopez (Questiones Mathematiae, (2019) 1-16), Nadler (Pacific J. Math. 30 (1969), 475-488), Alam and Imdad (J. Fixed Point Theory and Appl., 17(4) (2015), 693-702) and many others in the existing literature of fixed point theory. Some illustrative examples are also provided to illustrate the usefulness of our main results. Moreover, we have an application to generalized coupled fixed point problems.
