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G. S. Saluja,Jong Kyu Kim,임원희 경남대학교 수학교육과 2021 Nonlinear Functional Analysis and Applications Vol.26 No.1
The aim of this paper is to establish common fixed point theorems under generalized (ψ-φ)-weak contractions in the setting of complete S-metric spaces and we support our result by some examples. Also an application of our results, we obtain some fixed point theorems of integral type. Our results extend Theorem 2.1 and 2.2 of Doric [5], Theorem 2.1 of Dutta and Choudhury [6], and many other several results from the existing literature.
Saluja, G.S. The Youngnam Mathematical Society 2013 East Asian mathematical journal Vol.29 No.1
The purpose of this paper is to study an implicit iteration process with errors and establish weak and strong convergence theorems to converge to common fixed points for a finite family of generalized asymptotically quasi-nonexpansive mappings in the framework of uniformly convex Banach spaces. Our results extend, improve and generalize some known results from the existing literature.
SALUJA, G.S.,KIM, JONG KYU,LIM, WON HEE The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.5-6
The purpose of this article is to establish some fixed point theorems, a common fixed point theorem and a coincidence point theorem via contractive type condition in the framework of complete partial metric spaces and give some examples in support of our results. As an application to the results, we give some fixed point theorems for integral type contractive conditions. The results presented in this paper extend and generalize several results from the existing literature.
GENERALIZED INTEGRAL TYPE F-CONTRACTION IN PARTIAL METRIC SPACES AND COMMON FIXED POINT
G.S. Saluja,현호근,김종규 경남대학교 수학교육과 2023 Nonlinear Functional Analysis and Applications Vol.28 No.1
In this work, we study generalized integral type $F$-contractions in partial metric spaces and establish some common fixed point theorems. Also, we give some consequences of the established result. Our results extend and generalize several results from the existing literature.
G. S. Saluja,Jong Kyu Kim 경남대학교 수학교육과 2020 Nonlinear Functional Analysis and Applications Vol.25 No.2
The purpose of this paper is to study newly proposed finite-step iteration schemein a convex metric space and establish some strong convergence theorems for two finitefamilies of total asymptotically nonexpansive mappings. Also, we give some applications ofour result. The results presented in this paper extend and generalize several results from thecurrent existing literature.
G. S. Saluja 영남수학회 2013 East Asian mathematical journal Vol.29 No.1
The purpose of this paper is to study an implicit iteration process with errors and establish weak and strong convergence theorems to converge to common xed points for a nite family of generalized asymptotically quasi-nonexpansive mappings in the framework of uni-formly convex Banach spaces. Our results extend, improve and generalize some known results from the existing literature.
G. S. Saluja 영남수학회 2012 East Asian mathematical journal Vol.28 No.1
The aim of this article is to study an implicit iteration process with errors for a nite family of non-Lipschitzian asymptotically non-expansive mappings in the intermediate sense in Banach spaces. Also we establish some strong convergence theorems and a weak convergence theorem for said scheme to converge to a common xed point for non-Lipschitzian asymptotically nonexpansive mappings in the intermediate sense. The results presented in this paper extend and improve the corre-sponding results of [1], [3]-[8], [10]-[11], [13]-[14], [16] and many others.
Saluja, G.S. The Youngnam Mathematical Society 2012 East Asian mathematical journal Vol.28 No.1
The purpose of this paper is to establish strong convergence of an implicit iteration process to a common fixed point for a finite family of asymptotically quasi-nonexpansive type mappings in CAT(0) spaces. Our results improve and extend the corresponding results of Fukhar-ud-din et al. [15] and some others from the current literature.
Saluja, G.S. The Youngnam Mathematical Society 2012 East Asian mathematical journal Vol.28 No.1
The aim of this article is to study an implicit iteration process with errors for a finite family of non-Lipschitzian asymptotically non expansive mappings in the intermediate sense in Banach spaces. Also we establish some strong convergence theorems and a weak convergence theorem for said scheme to converge to a common fixed point for non Lipschitzian asymptotically nonexpansive mappings in the intermediate sense. The results presented in this paper extend and improve the corresponding results of [1], [3]-[8], [10]-[11], [13]-[14], [16] and many others.
G. S. Saluja 영남수학회 2012 East Asian mathematical journal Vol.28 No.1
The purpose of this paper is to establish strong convergence of an implicit iteration process to a common xed point for a finite family of asymptotically quasi-nonexpansive type mappings in CAT(0) spaces. Our results improve and extend the corresponding results of Fukhar-ud-din et al. [15] and some others from the current literature.