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CONTROL FUNCTION BASED COUPLED AND COMMON COUPLED FIXED POINT THEOREMS IN PARTIAL METRIC SPACES
H. K. Nashine,G.S. Saluja,G. V. V. J. Rao,W. H. Lim 경남대학교 수학교육과 2024 Nonlinear Functional Analysis and Applications Vol.29 No.2
In this paper, we aim to prove coupled and common coupled fixed point theorems for contractive type conditions in the context of partial metric spaces by means of a control function, and to provide some corollaries of the established results. This paper presents a number of results that generalize and extend previous work in the field. In order to better illustrate the process, we provide examples.
Coupled fixed point theorems for rational inequality in generalized metric spaces
Deepak Singh,Surjeet Singh Tomar,M.S.Rathore,Varsha Chauhan 영남수학회 2015 East Asian mathematical journal Vol.31 No.1
In modern times, coupled fixed point theorems have been rigorously studied by many researchers in the milieu of partially ordered G- metric spaces using different contractive conditions. In this note, some coupled fixed point theorems using mixed monotone property in partially ordered G-metric spaces are obtained. Furthermore some theorems by omitting the completeness on the space and continuity conditions on function, are obtained. Our results partially generalize some existing results in the present literature. To exemplify our results and to distinguish them from the existing ones, we equip the article with suitable examples.
COUPLED FIXED POINT THEOREMS FOR RATIONAL INEQUALITY IN GENERALIZED METRIC SPACES
Singh, Deepak,Tomar, Surjeet Singh,Rathore, M.S.,Chauhan, Varsha The Youngnam Mathematical Society 2015 East Asian mathematical journal Vol.31 No.1
In modern times, coupled fixed point theorems have been rigorously studied by many researchers in the milieu of partially ordered G-metric spaces using different contractive conditions. In this note, some coupled fixed point theorems using mixed monotone property in partially ordered G-metric spaces are obtained. Furthermore some theorems by omitting the completeness on the space and continuity conditions on function, are obtained. Our results partially generalize some existing results in the present literature. To exemplify our results and to distinguish them from the existing ones, we equip the article with suitable examples.
COMMON COUPLED FIXED POINT IN A PARTIALLY ORDERED b-METRIC SPACE
K. Kumara Swamy,T. Phaneendra 경남대학교 수학교육과 2020 Nonlinear Functional Analysis and Applications Vol.25 No.2
A common coupled fixed point theorem supported with an illustrative example,and a related problem of existence of solution of system of Fredhlom type integral equations,are presented for two mappings, which satisfy mixed weakly monotone property in a partiallyordered b-metric space.
COUPLED COMMON FIXED POINT RESULTS IN ORDERED S-METRIC SPACES
Mohammad Mahdi Rezaee,Shaban Sedghi,김경수 경남대학교 수학교육과 2018 Nonlinear Functional Analysis and Applications Vol.23 No.3
In this paper, we prove a coupled coincidence and common fixed point theorems for commutating with mixed g-monotone property in the setting of a partially ordered S-metric space. Examples are given to support the usability of our results and to distinguish them from the existing ones.
CHOUDHURY, BINAYAK S.,KONAR, PULAK,METIYA, NIKHILESH The Korean Society for Computational and Applied M 2019 Journal of applied mathematics & informatics Vol.37 No.1
In this paper we prove certain coupled coincidence point and coupled common fixed point results in partially ordered metric spaces for a pair of compatible mappings which satisfy certain rational inequality. The results are supported with two examples.