• 제목/요약/키워드: Fixed point theorems

검색결과 436건 처리시간 0.023초

A Coupled Fixed Point Theorem for Mixed Monotone Mappings on Partial Ordered G-Metric Spaces

  • Lee, Hosoo
    • Kyungpook Mathematical Journal
    • /
    • 제54권3호
    • /
    • pp.485-500
    • /
    • 2014
  • In this paper, we establish coupled fixed point theorems for mixed monotone mappings satisfying nonlinear contraction involving a pair of altering distance functions in ordered G-metric spaces. Via presented theorems we extend and generalize the results of Harjani et al. [J. Harjani, B. L$\acute{o}$pez and K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to integral equations, Nonlinear Anal. 74 (2011) 1749-1760] and Choudhury and Maity [B.S. Choudhury and P. Maity, Coupled fixed point results in generalized metric spaces. Math. Comput. Model. 54 (2011), 73-79].

Fixed point theorems for fuzzy mappings and applications

  • Lee, Byung-Soo;Cho, Yeol-Je;Jung, Jong-Soo
    • 대한수학회논문집
    • /
    • 제11권1호
    • /
    • pp.89-108
    • /
    • 1996
  • In this paper we obtain common fixed point theorems for sequences of fuzzy mappings on Menger probabilistic metric spaces, including common fixed point theorems for sequences of multi-valued mappings, which generalize and improve some results of Lee et al. [8] and Chang [2].

  • PDF

Notes on common fixed point theorems in metric spaces

  • Kim, Kee-Hwan;Leem, Koung-Hee
    • 대한수학회논문집
    • /
    • 제11권1호
    • /
    • pp.109-115
    • /
    • 1996
  • A number of authors have generalized contraction mapping theorems in metric spaces. In this paper, we give some common fixed point theorems related with the diameter of the orbit on metric spaces. We generalize the results of M. Ohta and G. Nikaido [6], also Taskovic [8].

  • PDF

FIXED POINT THEOREMS FOR FUZZY MAPPINGS

  • CHO SEONG-HOON
    • Journal of applied mathematics & informatics
    • /
    • 제19권1_2호
    • /
    • pp.485-492
    • /
    • 2005
  • In this paper, we obtain some common fixed point theorems for fuzzy mappings in complete metric linear spaces.

COMMON FIXED POINT THEOREMS FOR HYBRID MAPS IN NON-ARCHIMEDEAN FUZZY METRIC SPACES

  • Samanta, T.K.;Mohinta, Sumit
    • Journal of applied mathematics & informatics
    • /
    • 제31권1_2호
    • /
    • pp.155-164
    • /
    • 2013
  • In this paper, we have established some common fixed point theorems for two pairs of occasionally weakly compatible hybrid maps sat-isfying a strict contractive condition in a non-archimedean fuzzy metric space. Our result extend, generalized and fuzzify several fixed point theo-rems on metric space.

COINCIDENCE AND COMMON FIXED POINT THEOREMS FOR SINGLE-VALUED AND SET-VALUED MAPPINGS

  • Pant, Badri Datt;Samet, Bessem;Chauhan, Sunny
    • 대한수학회논문집
    • /
    • 제27권4호
    • /
    • pp.733-743
    • /
    • 2012
  • In the present paper, we prove common fixed point theorems for single-valued and set-valued occasionally weakly compatible mappings in Menger spaces. Our results improve and extend the results of Chen and Chang [Chi-Ming Chen and Tong-Huei Chang, Common fixed point theorems in Menger spaces, Int. J. Math. Math. Sci. 2006 (2006), Article ID 75931, Pages 1-15].

FIXED POINT THEOREMS IN MENGER SPACES AND APPLICATIONS TO METRIC SPACES

  • Chauhan, Sunny;Kumar, Suneel
    • Journal of applied mathematics & informatics
    • /
    • 제30권5_6호
    • /
    • pp.729-740
    • /
    • 2012
  • In this paper, we prove common fixed point theorems for occasionally weakly compatible maps in Menger spaces with a continuous t-norm of H-type. As application to our results, we obtain the corresponding fixed point theorems in metric spaces. Our results improve and generalize many known results in Menger spaces as well as in metric spaces.

MULTIVARIATE COUPLED FIXED POINT THEOREMS ON ORDERED PARTIAL METRIC SPACES

  • Lee, Hosoo;Kim, Sejong
    • 대한수학회지
    • /
    • 제51권6호
    • /
    • pp.1189-1207
    • /
    • 2014
  • A partial metric, also called a nonzero self-distance, is motivated by experience from computer science. Besides a lot of properties of partial metric analogous to those of metric, fixed point theorems in partial metric spaces have been studied recently. We establish several kinds of extended fixed point theorems in ordered partial metric spaces with higher dimension under generalized notions of mixed monotone mappings.

ON FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS OF FENG-LIU TYPE

  • ALTUN, ISHAK;MINAK, GULHAN
    • 대한수학회보
    • /
    • 제52권6호
    • /
    • pp.1901-1910
    • /
    • 2015
  • In the present paper, considering the Jleli and Samet's technique we give many fixed point results for multivalued mappings on complete metric spaces without using the Pompeiu-Hausdorff metric. Our results are real generalization of some related fixed point theorems including the famous Feng and Liu's result in the literature. We also give some examples to both illustrate and show that our results are proper generalizations of the mentioned theorems.