A Relation-Theoretic Matkowski-Type Theorem in Symmetric Spaces

Axioms

Mohammad Imdad¹  Based Ali¹  Salvatore Sessa² 

[1] Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India;Dipartimento di Architettura, Universitá Degli Studi di Napoli Federico II, 80134 Napoli, Italy;

关键词: fixed points;    symmetric spaces;    binary relations;    T-transitivity;    regular spaces;   

DOI  :  10.3390/axioms10020050

来源: DOAJ

【 摘 要 】

In this paper, we present a fixed-point theorem in $\mathcal{R}$-complete regular symmetric spaces endowed with a locally T-transitive binary relation $\mathcal{R}$ using comparison functions that generalizes several relevant existing results. In addition, we adopt an example to substantiate the genuineness of our newly proved result. Finally, as an application of our main result, we establish the existence and uniqueness of a solution of a periodic boundary value problem.

【 授权许可】

Unknown