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Approximate best proximity pair results on metric spaces using contraction operators
R. Theivaraman,P. S. SRINIVASAN,A. Herminau Jothy 강원경기수학회 2023 한국수학논문집 Vol.31 No.3
The aim of this paper is to prove some new approximate best proximity pair theorems on metric spaces using contraction mappings such as $P$-Bianchini contraction, $P-B$ contraction and so on. A few examples are provided to exemplify our findings. Finally, we discuss some applications that are related to the main results.
NEW APPROXIMATE FIXED POINT RESULTS FOR VARIOUS CYCLIC CONTRACTION OPERATORS ON E-METRIC SPACES
R. Theivaraman,P. S. SRINIVASAN,S. RADENOVIC,박춘길 한국산업응용수학회 2023 Journal of the Korean Society for Industrial and A Vol.27 No.3
In this paper, we investigate the existence and diameter of the approximate fixed point results on E-metric spaces (not necessarily complete) by using various cyclic contrac- tion mappings, including the B-cyclic contraction, the Bianchini cyclic contraction, the Hardy- Rogers cyclic contraction, and so on. Additionally, we prove the approximate fixed point results for rational type cyclic contraction mappings, which were discussed mainly in [35] and [37], in the setting of E-metric space. Also, a few examples are provided to demonstrate our findings. Subsequently, we discuss some applications of approximate fixed point results in the field of applied mathematics rigorously.
V. Anbukkarasi,R. Theivaraman,M. Marudai,P. S. SRINIVASAN 한국수학교육학회 2023 純粹 및 應用數學 Vol.30 No.4
The purpose of this paper is establish the existence of proximity point for the cyclic B-contraction mapping on metric spaces and uniformly convex Banach spaces. Also, we prove the common proximity point for the S-weakly cyclic B-contraction mapping. In addition, a few examples are provided to demonstrate our findings
Best proximity points for contractive mappings in generalized modular metric spaces
V. Anbukkarasi,M. Marudai,R. Theivaraman 강원경기수학회 2023 한국수학논문집 Vol.31 No.2
In this paper, we prove existence of best proximity points for 2-convex contraction, 2-sided contraction, and M-weakly cyclic 2-convex contraction mappings in the setting of complete strongly regular generalized modular metric spaces that generalize many results in the literature.
SOME RESULTS RELATED TO NON-DEGENERATE LINEAR TRANSFORMATIONS ON EUCLIDEAN JORDAN ALGEBRAS
K. Saravanan,V. Piramanantham,R. Theivaraman The Kangwon-Kyungki Mathematical Society 2023 한국수학논문집 Vol.31 No.4
This article deals with non-degenerate linear transformations on Euclidean Jordan algebras. First, we study non-degenerate for cone invariant, copositive, Lyapunov-like, and relaxation transformations. Further, we study that the non-degenerate is invariant under principal pivotal transformations and algebraic automorphisms.