본문 바로가기
KERD
논문KCI 등재

Fixed point theorem via Meir-Keeler contraction in rectangular $M_b$-metric space

Mohammad Asim|Meenu
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2022.03|한국수학논문집 (Korean Journal of Mathematics)|제30권 제1호|pp. 161-173

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Fixed pointMeir-Keeler contractionrectangular $M_{b}$-metric space.
주제분류수학

초록

In this paper, we present a fixed point theorem for Meir-Keeler contraction in the framework of Rectangular $M_b$-metric Space. Our main result improves some existing results in literature. An example is also adopted to exhibit the utility of our main result.

Abstract

In this paper, we present a fixed point theorem for Meir-Keeler contraction in the framework of Rectangular $M_b$-metric Space. Our main result improves some existing results in literature. An example is also adopted to exhibit the utility of our main result.

참고문헌 (38)

  1. A.H. Ansari, "Some fixed point results on complex valued Gb-metric spaces, Revista de la Real Academia de Ciencias Exactas", Fisicas y Naturales, Seria A. Matematicas, 112(2), pp.463~472 (2018)
  2. M. Arshad, "Some Common Fixed Point Results in Rectangular Metric Spaces", International Journal of Analysis, 2013, pp.1~7 (2013)
  3. M. Asadi, "New extension of p-metric spaces with some fixed-point results on M-metric spaces", J. Inequal. Appl, 18, pp.1~9 (2014)
  4. M. Asim, "Fixed point results in extended rectangular b-metric spaces with an application", U.P.B. Sci. Bull., Series A, 81(2), pp.1~8 (2019)
  5. M. Asim, "Rectangular Mb-metric space and fixed point results", J. of Mathematical Analysis, 10, pp.10~18 (2019)
  6. M. Asim, "Meir-Keeler Contraction In Rectangular M-Metric Space", Topol. Algebra Appl, 9, pp.96~104 (2021)
  7. H. Aydi, "Nemytzki-Edelstein-Meir-Keeler Type Results in b-metric Spaces", Discrete Dynamics in Nature and Society, 7, pp.1~7 (2018)
  8. I. A. Bakhtin, "The contraction mapping principle in almost metric spaces", Funct. Anal., Gos. Ped. Inst. Unianowsk, 30, pp.26~37 (1989)
  9. S. Banach, "Sur les operations dans les ensembles abstraits et leur application aux equations integrals", Fund. Math, 3, pp.133~181 (1922)
  10. A. Branciari, "A fixed point theorem of Banach–Caccioppoli type on a class of generalized metric spaces", Publ. Math., 57, pp.31~37 (2000)
  11. S. Czerwik, "Contraction mappings in b-metric spaces", Acta Mathematica et Informatica Universitatis Ostraviensis, 1(1), pp.5~11 (1993)
  12. H.S. Ding, "On some fixed point results in b-metric, rectangular and b-rectangular metric spaces", Arab Journal of Mathematical Sciences, 22(2), pp.151~164 (2016)
  13. O. Ege, "Complex valued rectangular b-metric spaces and an application to linear equations", Journal of Nonlinear Science and Applications, 8(6), pp.1014~1021 (2015)
  14. O. Ege, "Complex valued Gb-metric spaces", Journal of Computational Analysis and Applications, 21(2), pp.363~368 (2016)
  15. O. Ege, "Some fixed point theorems in complex valued Gb-metric spaces", Journal of Nonlinear and Convex Analysis, 18(11), pp.1997~2005 (2017)
  16. O. Ege, "Common fixed point results on complex valued Gb-metric spaces", Thai Journal of Mathematics, 16(3), pp.775~787 (2018)
  17. Ozgur Ege, "A different approach to complex valued Gb-metric spaces", Advances in Difference Equations, 2020(1), pp.1~13 (2020), Springer Science and Business Media LLC[DOI]
  18. M. R. Frechet, "Sur quelques points du calcul fonctionnel", Rendic. Circ. Mat. Palermo, 22, pp.1~74 (1906)
  19. R George, "Rectangular b-metric space and cont Rectangular b-metric space and contraction principles", J. Nonlinear Sci. Appl, 1(8), pp.1005~1013 (2015)
  20. N. Gholamian, "Fixed points of generalized Meir-Keeler contraction mappings in b-metric-like spaces", Fixed Point Theory and Applications, 2016(34) (2016)
  21. A. Gholidahneh, "The Meir-Keeler type contractions in extended modular b-metric spaces with an application", AIMS Mathematics, 6(2), pp.1781~1799 (2021)
  22. S. G¨ulyaz, "Generalized α-Meir-Keeler contraction mappings on Branciari b-metric spaces", Filomat, 17(31), pp.5445~5456 (2017)
  23. M. Iqbal, "Fixed point of almost contraction in b-metric spaces", Journal of Mathematics, 2020, pp.1~6 (2020)
  24. M. Iqbal, "Fixed point of generalized weak contraction in b-metric spaces", Journal of Function Spaces, 2021(8), pp.1~8 (2021)
  25. Z. Kadelburg, "Pata-type common fixed point results in b-metric and brectangular metric spaces", Journal of Nonlinear Analysis and Applications, 8, pp.944~954 (2015)
  26. Tayyab Kamran, "A Generalization of b-Metric Space and Some Fixed Point Theorems", Mathematics, 5(2), pp.19~ (2017), MDPI AG[DOI]
  27. E. Karapinar, "(α, ϕ)-Meir-Keeler Contraction Mappings in Generalized b-Metric Spaces", Journal of Function Spaces, 2018(4), pp.3264620~ (2018)
  28. S. G. Matthews, "Partial metric topology", Annals of the New York Academy of Sciences, 728, pp.183~197 (1994)
  29. A. Meira, "A Theorem on Contraction Mappings", J. of Mathematical Analysis and Applications, 28, pp.326~369 (1969)
  30. Z. D. Mitrovic, "A note on a Banachs fixed point theorem in b-rectangular metric space and b-metric space", Mathematica Slovaca, 68(5), pp.1113~1116 (2018)
  31. Z. D. Mitrovi, "On Meir-Keeler contraction in Branciari b-metric spaces", Trans. A. Razmadze Math. Inst, 173, pp.83~90 (2019)
  32. N. Mlaiki, "Meir-Keeler contraction mappings in Mb-metric Spaces", J. Computational Analysis and applications, 4(27) (2019)
  33. N. Mlaiki, "Fixed Point Theorems in Mb-metric spaces", J. Math. Anal, 7, pp.1~9 (2016)
  34. N. Y. Ozg¨ur, "A new generalization of metric spaces: rectan- ¨gular M-metric spaces", Mathematical Sciences, 12, pp.223~233 (2018)
  35. B. Samet, "A fixed point theorem for a Meir-Keeler type contraction through rational expression", J. Nonlinear Sci. Appl., 6, pp.162~169 (2013)
  36. T. L. Shateri, "Common fixed point on the bv(s)-metric space of function-valued mappings", AIMS Mathematics, 6(1), pp.1065~1074 (2021)
  37. S. Shukla, "Partial b metric Spaces and Fixed Point Theorems", Mediterranean Journal of Mathematics, 11(2), pp.703~711 (2014)
  38. Satish Shukla, "Partial Rectangular Metric Spaces and Fixed Point Theorems", The Scientific World Journal, 2014, pp.1~7 (2014), Hindawi Limited[DOI]

관련 논문AI추천

Fixed point theorems in controlled rectangular metric spacesAbdelkarim Kari, Mohamed Rossafi한국수학교육학회 · 이론수학과 교직수학2023 · 제30권 제2호δ-­convex Structure on Rectangular Metric Spaces concerning Kannan­-type Contraction and Reich­-type ContractionDileep Kumar Sharma, Jayesh Tiwari한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제4호COMMON FIXED POINT THEOREMS OF MEIR-KEELER TYPE ON MULTIPLICATIVE METRIC SPACESBhavana Deshpande, Sajad Ahmad Sheikh한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제2호Common fixed point theorems for cyclic \'Ciri\'c-Reich-Rus contraction mappings in quasi-partial $\it{b}$-metric spaceKomal Negi, Pragati Gautam, VISHNU NARAYAN MISHRA기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제20권 제2호A common fixed point theorem for T-contractions on generalized cone \lowercase{b}-metric spacesManhala Rangamma, Pagidi Mallikarjun Reddy대한수학회 · 대한수학회논문집2017 · 제32권 제1호Almost $\zeta$- contraction on $M$- metric spaceK. Saravanan, M. Pitchaimani강원경기수학회 · 한국수학논문집2020 · 제28권 제2호

이 간행물의 다른 논문 (16건)

Certain results on three-dimensional $f$-Kenmotsu manifolds with conformal Ricci solitonsTarak Mandalpp. 1-10Pseudo - complementation on generalized almost distributive fuzzy latticesYohannes Gedamu Wondifrawpp. 11-23Character analogues of infinite series identities related to generalized non-holomorphic Eisenstein series임성근pp. 25-42Radau quadrature for a rational almost quasi-Hermite-Fej{\'e}r-type interpolationVishnu Narayan Mishra, Shrawan Kumar, Neha Mathur, Pankaj Mathur, Laxmi Rathourpp. 43-51Line graphs of unit graphs associated with the direct product of ringsS. Pirzada, Aaqib Altafpp. 53-60
원문 보기