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PROXIMITY POINTS FOR CYCLIC 2-CONVEX CONTRACTION MAPPINGS
M. S. Khan,M. Menaka,Geno Kadwin Jacob,M. Marudai 경남대학교 수학교육과 2020 Nonlinear Functional Analysis and Applications Vol.25 No.1
In this paper, the existence of proximity point for cyclic 2-convex contractionmappings, weakly cyclic 2-convex contraction mappings and M-weakly cyclic 2-convex con-traction mappings are proved in the metric space setting. Our result is an natural general-ization to result discussed in Istraescu [6].
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.
ON EXISTENCE OF FIXED POINT FOR PATA TYPE 2-CONVEX CONTRACTION MAPPINGS
M. S. Khan,D. Chellapillai,Geno Kadwin Jacob,M. Marudai 경남대학교 수학교육과 2018 Nonlinear Functional Analysis and Applications Vol.23 No.1
In this paper, existence of fixed point for Pata type 2-convex contraction mappingin complete metric space has been proved. This study is a natural continuation of Istraescu[3].
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
COMMON FIXED POINT THEOREMS UNDER RATIONAL CONTRACTIONS IN COMPLEX VALUED EXTENDED b-METRIC SPACES
V. Vairaperumal,J. Carmel Pushpa Raj,J. Maria Joseph,M. Marudai 경남대학교 수학교육과 2021 Nonlinear Functional Analysis and Applications Vol.26 No.4
In this paper, we discuss the existence and uniqueness of fixed point and common fixed point theorems in complex valued extended $b-$metric spaces for a pair of mappings satisfying some rational contraction conditions which generalized and unify some well-known results in the literature.