• 제목/요약/키워드: fixed-point

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COMMON FIXED POINT IN FUZZY METRIC SPACES

  • SHARMA SUSHIL;TIWARI JAYESH K.
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제12권1호
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    • pp.17-31
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    • 2005
  • In this paper we prove common fixed point theorems for three mappings under the condition of weak compatible mappings, without taking any function continuous in fuzzy metric space and then extend this result to fuzzy 2-metric space and fuzzy 3-metric space.

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COMMON FIXED POINTS WITHOUT CONTINUITY IN FUZZY METRIC SPACES

  • SHARMA SUSHIL;DESHPANDE BHAVANA
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제12권4호
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    • pp.289-306
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    • 2005
  • The aim of this paper is to prove some common fixed point theorems for six discontinuous mappings in non complete fussy metric spaces with condition of weak compatibility.

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Notes on common fixed point theorems in metric spaces

  • Kim, Kee-Hwan;Leem, Koung-Hee
    • 대한수학회논문집
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    • 제11권1호
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    • pp.109-115
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    • 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].

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FIXED-POINT-LIKE METHOD FOR A NEW TOTAL VARIATION-BASED IMAGE RESTORATION MODEL

  • WON, YU JIN;YUN, JAE HEON
    • Journal of applied mathematics & informatics
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    • 제38권5_6호
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    • pp.519-532
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    • 2020
  • In this paper, we first propose a new total variation-based regularization model for image restoration. We next propose a fixed-point-like method for solving the new image restoration model, and then we provide convergence analysis for the fixed-point-like method. To evaluate the feasibility and efficiency of the fixed-point-like method for the new proposed total variation-based regularization model, we provide numerical experiments for several test problems.

NONLINEAR CONTRACTIONS IN PARTIALLY ORDERED QUASI b-METRIC SPACES

  • Shah, Masood Hussain;Hussain, Nawab
    • 대한수학회논문집
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    • 제27권1호
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    • pp.117-128
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    • 2012
  • Using the concept of a g-monotone mapping we prove some common fixed point theorems for g-non-decreasing mappings which satisfy some generalized nonlinear contractions in partially ordered complete quasi b-metric spaces. The new theorems are generalizations of very recent fixed point theorems due to L. Ciric, N. Cakic, M. Rojovic, and J. S. Ume, [Monotone generalized nonlinear contractions in partailly ordered metric spaces, Fixed Point Theory Appl. (2008), article, ID-131294] and R. P. Agarwal, M. A. El-Gebeily, and D. O'Regan [Generalized contractions in partially ordered metric spaces, Appl. Anal. 87 (2008), 1-8].