논문KCI 등재
Fixed points for $\varphi$-contraction in Menger probabilistic generalized metric spaces
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In this paper, we establish some fixed point theorems for $\varphi$-contraction in Menger probabilistic generalized metric spaces by introducing a new type of gauge function. With this introduced guage function, we discuss several important lemmas to prove our main results. An example is given in the support of obtained results.
Abstract
In this paper, we establish some fixed point theorems for $\varphi$-contraction in Menger probabilistic generalized metric spaces by introducing a new type of gauge function. With this introduced guage function, we discuss several important lemmas to prove our main results. An example is given in the support of obtained results.
참고문헌 (27)
- S. M. Alsulami, "φ-contraction in generalized probabilistic metric spaces", Fixed Point Theory Appl, 151, pp.9~ (2015)
- S. Chauhan, "Fixed point theorems for compatible and subsequentially contin-uous mappings in Menger spaces", J. Nonlinear Sci. Appl, 7, pp.78~89 (2014)
- B. S. Choudhury, "A new contraction principle in Menger spaces", Acta Math. Sin. Engl. Ser, 24(8), pp.1379~1386 (2008)
- B. S. Choudhury, "Some φ-contraction results using CLRg proprty in probabilistic and fuzzy metric spaces", Ann. Fuzzy Math. Inform, 12(3), pp.387~395 (2016)
- L. Ciric, "Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces", Nonlinear Anal, 72, pp.2009~2018 (2010)
- K. Das, "A common fixed point theorem for cyclic contractive mappings in fuzzy metric spaces", Ann. Fuzzy Math. Inform, 9(4), pp.581~592 (2015)
- B. C. Dhage, "Generalized metric spaces and mappings with fixed point", Bull. Calcutta Math. Soc, 84, pp.1833~1843 (2009)
- P. N. Dutta, "Some fixed point results in Menger spaces using a control function", Surv. Math. Appl, 4, pp.41~52 (2009)
- J. -X. Fang, "On φ-contractions in probabilistic and fuzzy metric spaces", Fuzzy Sets and Systems, 267, pp.86~99 (2015)
- O. Hadzic, "Some theorems on the fixed points in probabilistic metric and random normed spaces", Boll. Unione Mat. Ital. Sez. B, 1, pp.381~391 (1982)
- J. Jachymski, "On probabilistic φ-contractions on Menger spaces", Nonlinear Anal, 73, pp.2199~2203 (2010)
- M. A. Kutbi, "Further generalization of fixed point theorems in Menger PM-spaces", Fixed Point Theory Appl, 32(1) (2015)
- K. Meneger, "Statistical metrics", Proc. Nat. Acad. Sci. USA, 28, pp.535~537 (1942)
- Z. Mustafa, "Existence of fixed point results in G-metric spaces", Int. J. Math. Comput. Sci (2009)
- Z. Mustafa, "Fixed point theorems for contractive mappings in complete G-metric spaces", Fixed Point Theory Appl (2009)
- Z. Mustafa, "A new approach to generalized metric spaces", J. Nonlinear Convex Anal, 7, pp.289~297 (1991)
- R. saadati, "Generalized distance and common fixed point theorems in Menger probabilistic metric spaces", Bull. Iran. Math. Soc, 35, pp.97~117 (2009)
- B. Schweizer, "Probabilistic Metric Spaces" (1983), Elsevier
- B. Schweizer, "The metrization of statistical metric spaces", Pac. J. Math, 10, pp.673~675 (1960)
- V. M. Sehgal, "Fixed points of contraction mappings on PM-spaces", Math. Syst. Theory, 6, pp.97~102 (1972)
- W. Sintunavarat, "Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces", J. Appl. Math (2011)
- W. Sintunavarat, "Common fixed point theorems in intuitionistic fuzzy metric spaces using concept of occasionally weakly compatible self mappings", Chiang Mai J. Sci, 42, pp.512~522 (2015)
- W. Sintunavarat, "Some fixed point results in modified intuition-istic fuzzy metric spaces", Afrika Matematika, 25, pp.461~473 (2014)
- J. F. Tiana, "Fixed point results for probabilistic φ-contractions in generalized probabilistic metric spaces", Journal of Nonlinear Science and Application, 8, pp.1150~1165 (2015)
- J. Z. Xiao, "Common coupled fixed point results for probabilistic '-contractions in Menger spaces", Nonlinear Anal, 74, pp.4589~4600 (2011)
- C. Zhou, "Generalized probabilistic metric spaces and fixed point theorems", Fixed Point Theory Appl, 91, pp.15~ (2014)
- C. X. Zhu, "Some fixed point theorems in generalized probabilistic metric spaces", Abstr. Appl. Anal (2014)
관련 논문AI추천
Compatible maps and common fixed points in Menger probabilistic metric spacesServet Kutukcu, Sushil Sharma대한수학회 · 대한수학회논문집2009 · 제24권 제1호Fixed points of generalized Kannan type mappings in generalized Menger spacesBinayak Samadder Choudhury, Krishnapada Das대한수학회 · 대한수학회논문집2009 · 제24권 제4호Some results on common best proximity point and common fixed point theorem in probabilistic Menger spaceHamid Shayanpour대한수학회 · 대한수학회지2016 · 제53권 제5호Fixed point theorems in fuzzy metric spaces for mappings with some contractive type conditionsBijoy Patir, Lakshmi Narayan Mishra, Nilakshi Goswami강원경기수학회 · 한국수학논문집2018 · 제26권 제2호Fixed Point Theorems for (φ, F)-contraction in Generalized Asymmetric Metric Spaces이정례, Abdelkarim Kari, Mohamed Rossafi한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제4호Common fixed point theorems for two mappings in M-fuzzy metric spaces임정화, Nabi Shobe, Shaban Sedghi영남수학회 · East Asian Mathematical Journal2011 · 제27권 제3호
이 간행물의 다른 논문 (7건)
Some notes on compact sets in soft metric spacesCigdem Gunduz Aras, Murat Ibrahim Yazar, Sadi Bayramovpp. 331-341The inclusion measure and information energy for hesitant fuzzy sets and their application in decision makingZhaohao Wang, Feng Zhangpp. 343-357A novel generalization of fuzzy subsemigroupsG. Muhiuddin, Mehmet Ali Ozturk, 전영배pp. 359-370Fuzzy ideals of almost distributive latticesU. M. Swamy, Ch. Santhi Sundar Raj, Natnael Teshale A.pp. 371-379Some hypergroups on general complex fuzzy automataM. Horrypp. 381-391
