%0 Journal Article
%T Multivalued relation-theoretic graph contraction principle with applications
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Khantwal, Deepak
%A Aneja, Surbhi
%A Prasad, Gopi
%A Joshi, B. C.
%A Gairola, U.C.
%D 2022
%\ 07/01/2022
%V 13
%N 2
%P 2961-2971
%! Multivalued relation-theoretic graph contraction principle with applications
%K Fixed point
%K Coupled fixed point
%K contraction mapping
%K Binary relation
%R 10.22075/ijnaa.2022.22536.2381
%X 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.
%U https://ijnaa.semnan.ac.ir/article_6770_ba322272d7ec997e177410f2a9e72c47.pdf