• Title/Summary/Keyword: Common fixed point

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COMMON FIXED POINT THEOREM FOR OCCASIONALLY WEAKLY BAISED MAPPINGS AND ITS APPLICATION TO BEST APPROXIMATION

  • Deshpande, Bhavana;Chouhan, Suresh
    • East Asian mathematical journal
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    • v.28 no.5
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    • pp.543-552
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    • 2012
  • The aim of this paper is to prove a common fixed point theorem in normed linear spaces for discontinuous, occasionally weakly biased mappings without assuming completeness of the space. We give an example to illustrare our theorem. We also give an application of our theorem to best approximation theory. Our theorem improve the results of Gregus [9], Jungck [12], Pathak, Cho and Kang [22], Sharma and Deshpande [26]-[28].

On Common Fixed Point for Single and Set-Valued Maps Satisfying OWC Property in IFMS using Implicit Relation

  • Park, Jong Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.15 no.2
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    • pp.132-136
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    • 2015
  • In this paper, we introduce the notion of single and set-valued maps satisfying OWC property in IFMS using implicit relation. Also, we obtain common fixed point theorems for single and set-valued maps satisfying OWC properties in IFMS using implicit relation.

COMPATIBLE MAPS OF TWO TYPES AND COMMON FIXED POINT THEOREMS ON INTUITIONISTIC FUZZY METRIC SPACE

  • Park, Jong-Seo
    • Honam Mathematical Journal
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    • v.32 no.2
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    • pp.283-298
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    • 2010
  • In this paper, we introduce the concept of compatible mapping of type(${\alpha}$-1) and type(${\alpha}$-2), prove the some properties and common fixed point theorem for such maps in intuitionistic fuzzy metric space. Also, we give the example. Our research are an extension for the results of Kutukcu and Sharma[3] and Park et.al.[11].

A COMMON FIXED POINT THEOREM ON ORDERED PARTIAL S-METRIC SPACES AND APPLICATIONS

  • Soursouri, Sima;Shobkolaei, Nabi;Sedghi, Sahaban;Altun, Ishak
    • Korean Journal of Mathematics
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    • v.28 no.2
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    • pp.169-189
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    • 2020
  • A common fixed point result for weakly increasing mappings satisfying generalized contractive type in ordered partial S-metric spaces are derived. Also as an application of our results we consider a couple integral equations.to guarantee the existence of a common solution.

SOME COMMON FIXED POINT THEOREMS FOR GENERALIZED f-WEAKLY CONTRACTIVE MAPPINGS

  • Chandok, Sumit
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.257-265
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    • 2011
  • In this paper, we first prove a common fixed point theorem for generalized nonlinear contraction mappings in complete metric spaces there by generalizing and extending some known results. Then we present this result in the context of ordered metric spaces by using monotone non-decreasing mapping.

COMMON FIXED POINT THEOREMS FOR L-FUZZY MAPPINGS IN b-METRIC SPACES

  • ALI, JAVID;AHMED, M.A.;NAFADI, H.A.
    • Journal of applied mathematics & informatics
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    • v.35 no.3_4
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    • pp.231-239
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    • 2017
  • In this paper, we prove common fixed point theorems for $\mathcal{L}$-fuzzy mappings under implicit relation in b-metric spaces. Further, results obtained for an integral type contractive condition. These theorems generalize and improve previous corresponding results.

Stability of Iterative Sequences Approximating Common Fixed Point for a System of Asymptotically Quasi-nonexpansive Type Mappings

  • Li, Jun;Huang, Nan-Jing;Cho, Yeol Je
    • Kyungpook Mathematical Journal
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    • v.47 no.1
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    • pp.81-89
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    • 2007
  • In this paper, we introduce the concept of a system of asymptotically quasinonexpansive type mappings. Furthermore, we define a $k$-step iterative sequence approximating common fixed point for a system of asymptotically quasi-nonexpansive type mappings and study its stability in real Banach spaces.

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Fixed Point Theorems for Weakly Compatible Functions using (JCLR) Property in Intuitionistic Fuzzy Metric Space

  • Park, Jong Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.12 no.4
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    • pp.296-299
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    • 2012
  • In this paper, we give definitions for common limit in the range property of mappings and obtain common fixed point theorem for a pair of weakly compatible functions in intuitionistic fuzzy metric space using the joint common limit in the range property of mappings(shortly, (JCLR) property). Our results improve and generalize results of Chauhan et al[1].