논문KCI 등재
Some coupled best proximity point results for weak GKT cyclic ø-contraction mappings on metric spaces
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper we define a generalization of GKT cyclic ø-contraction mappings [18] in a metric space. Some existence results of coupled best proxim- ity point for such mappings are derived with suitable examples. An application for the existence of the solution to an initial value problem through fixed point formulation is also discussed.
Abstract
In this paper we define a generalization of GKT cyclic ø-contraction mappings [18] in a metric space. Some existence results of coupled best proxim- ity point for such mappings are derived with suitable examples. An application for the existence of the solution to an initial value problem through fixed point formulation is also discussed.
참고문헌 (24)
- M. Abbas, "Coupled fixed point in partially ordered G-metric spaces", Fixed Point Theory Appl, 31 (2012)[DOI]
- A. Abkar, "Coupled best proximity point theorems for proximally g-Meir-Keeler type mappings in partially ordered metric spaces", Fixed Point Theory Appl, 107 (2015)[DOI]
- M. A. Al-Thagafi, "Convergence and existence results for best proximity point", Nonlinear Anal, 70, pp.3665~3671 (2009)
- S. Banach, "Sur les operations dans les ensembles abstraits et leur application aux equations integrales", Fundam. Math, 3, pp.133~181 (1922)
- C. Chen, "Best proximity point theorems of cyclic Meir-Keeler-Kannan-Chatterjea contractions", Results in Nonlinear Anal, 2, pp.83~91 (2019)
- B. S Choudhury, "Best proximity results: optimization by approximate solutions", Fixed Poiont Theory Appl, 79 (2016)[DOI]
- D. Das, "Some results on the projective cone normed tensor product spaces over Banach algebras", Bol. Soc. Parana. Mat, 38, pp.197~220 (2020)
- D. Das, "Some fixed point theorems on sum and product of operators in tensor product spaces", Int. J. Pure Appl. Math, 109(3), pp.651~663 (2016)
- N. Goswami, "F -contractive type mappings in b-metric spaces and some related fixed point results", Fixed Point Theory Appl, 13 (2019)[DOI]
- D. Guo, "Coupled fixed points of nonlinear operators with applications", Nonlinear Anal, 11, pp.623~632 (1987)
- N. Haokip, "Some fixed point theorems for generalized Kannan type mappings in b-metric spaces", Proyecciones J. Math, 4, pp.763~702 (2019)
- B. Hazarika, "coupled fixed point theorem in partially ordered metric spaces via mixed g-monotone property", Fixed Point Theory Appl, 1 (2019)[DOI]
- Y. Luo, "Multivariate best proximity point theorems in metric spaces", J. Nonlinear Sci. Appl, 9, pp.5756~5765 (2016)
- A. Meir, "A theorem on contraction mappings", J. Math. Anal. Appl, 28, pp.326~329 (1969)
- B. Patir, "Some results on fixed point theory for a class of generalized nonexpansive mappings", Fixed Point Theory Appl, 19 (2018)[DOI]
- V. Pragadeeswarar, "The existence and unique-ness of coupled best proximity point for proximally coupled contraction in a complete ordered metric space", Abstr. Appl. Anal (2014)[DOI]
- V. S. Raj, "A best proximity point theorem for weakly contractive nonself mappings", Nonlinear Anal, 74(14), pp.4804~4808 (2011)
- R. Roy, "Some results on best proximity points for generalized Kannan type cyclic-contraction mappings on metric spaces", Bull. Cal. Math. Soc, 111, pp.99~112 (2019)
- W. Shatanawi, "Best proximity point and best proximity coupled point in a complete metric space with (P)-property", Filomat, 29, pp.63~74 (2015)
- V. M. Sehgal, "A generalization to multifunctions of Fan's best approximation theo-rem", Proc. Am. Math. Soc, 102, pp.534~537 (1988)
- W. Sintunavarat, "coupled best proximity point theorem in metric spaces", Fixed point theorem and appl, 93 (2012)[DOI]
- T. Suzuki, "Fixed point theorems and convergence theorems for some generalized nonexpansive mappings", J. Math. Anal. Appl, 340, pp.1088~1095 (2008)
- T. Suzuki, "The existence of the best proximity points in metric spaces with property UC", Nonlinear Anal, 71, pp.2918~2926 (2009)
- K. Fan, "Extensions of two fixed point theorems of F. E. Browder", Mathematische Zeitschrift, 112, pp.234~240 (1969)
관련 논문AI추천
Approximate best proximity pair results on metric spaces using contraction operatorsA. Herminau Jothy, P. S. SRINIVASAN, R. Theivaraman강원경기수학회 · 한국수학논문집2023 · 제31권 제3호Best Proximity Point Theorems for Cyclic θ-φ-contraction on Metric Spaces이정례, Abdelkarim Kari, Mohamed Rossafi한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제4호Common coupled fixed point results for hybrid pair of mapping under generalized (ψ, θ, ϕ)-contraction with applicationAmrish Handa한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제3호Some Results on Best Proximity Point for Cyclic B-contraction and S-weakly Cyclic B-contraction MappingsM. Marudai, P. S. SRINIVASAN, R. Theivaraman, V. Anbukkarasi한국수학교육학회 · 이론수학과 교직수학2023 · 제30권 제4호Coupled fixed point results in $G$-fuzzy metric spaces for weakly compatible mappingsKrishna Kanta Sarkar, Krishnapada Das강원경기수학회 · 한국수학논문집2021 · 제29권 제3호Best Proximity Point Theorems for ψ-ϕ-contractions in Metric SpacesSatish Shukla, Shilpa Rahurikar, Varsha Pathak한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제3호
이 간행물의 다른 논문 (14건)
A family of associated sequences and their representations by Appell polynomials이현석, 김태균, 김대산, 장이채, 김한영pp. 445-458Level operators over index matrices. part 1: Index matrices with real non-negative elementsK. Atanassovpp. 459-464On (3,4)-regular bipartitions with designated summandsY. VEERANNA, M. S. MAHADEVA NAIKA, HARISHKUMAR T.pp. 465-478NOTE ON DIFFERENT KINDS OF SCHUR CONVEXITIES OF HEINZ TYPE MEANK. Sridevi, K. M. Nagaraja, P. S. K. Reddypp. 479-484A new cryptographic method by means of Molecular graphsI. N. Cangul, L. Shobana, J. B. Babujeepp. 503-507
