• 제목/요약/키워드: semi-compatible maps

검색결과 9건 처리시간 0.024초

SEMI-COMPATIBILITY AND FIXED POINTS OF EXPANSION MAPPINGS IN 2-METRIC SPACES

  • Singh, Bijendra;Jain, Shobha
    • 충청수학회지
    • /
    • 제17권2호
    • /
    • pp.125-136
    • /
    • 2004
  • This paper introduces the notion of semi-compatible self-maps in 2-metric spaces and establishes a fixed point theorem for four self-maps, satisfying an implicit relation through semi-compatibility of a pair of self-maps. This results in another fixed point theorem for four expansion maps which generalizes and improves many results of Kang et. al. [5] with an application.

  • PDF

SEMI-COMPATIBILITY, COMPATIBILITY AND FIXED POINT THEOREMS IN FUZZY METRIC SPACE

  • Singh, Bijendra;Jain, Shishir
    • 충청수학회지
    • /
    • 제18권1호
    • /
    • pp.1-22
    • /
    • 2005
  • The object of this paper is to introduce the concept of a pair of semi-compatible self-maps in a fuzzy metric space to establish a fixed point theorem for four self-maps. It offers an extension of Vasuki [10] to four self-maps under the assumption of semi-compatibility and compatibility, repsectively. At the same time, these results give the alternate results of Grebiec [5] and Vasuki [9] as well.

  • PDF

SEMI-COMPATIBILITY AND FIXED POINT THEOREM IN MENGER SPACE USING IMPLICIT RELATION

  • Singh, Bijendra;Jain, Shishir
    • East Asian mathematical journal
    • /
    • 제21권1호
    • /
    • pp.65-76
    • /
    • 2005
  • In this paper the concept of semi-compatibility has been introduced in Menger space and it has been applied to prove results on existence of unique common fixed point of four self maps satisfying an implicit relation. It results in a generalization of Banach contraction principle established by Sehgal and Bharucha-Reid in [8] All the result presented in this paper are new.

  • PDF

FIXED POINT THEOREMS IN FUZZY METRIC SPACES, FUZZY 2-METRIC SPACES AND FUZZY 3-METRIC SPACES USING SEMI-COMPATIBILITY

  • Singh, Bijendra;Jain, Shishir;Jain, Shobha
    • East Asian mathematical journal
    • /
    • 제23권2호
    • /
    • pp.175-195
    • /
    • 2007
  • The object of this paper is to introduce the notion of semi-compatible maps in fuzzy metric spaces, fuzzy 2-metric spaces and fuzzy 3-metric spaces and to establish three common fixed point theorems for these spaces for four self-maps. These results improve, extend and generalize the results of [16]. As an application, these results have been used to obtain translation and generalization of Grabeic's contraction principle in the new settings. All the result presented in this paper are new.

  • PDF

FIXED POINT THEOREMS VIA FAMILY OF MAPS IN WEAK NON-ARCHIMEDEAN MENGER PM-SPACES

  • Singh, Deepak;Ahmed, Amin
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제20권3호
    • /
    • pp.181-198
    • /
    • 2013
  • C. Vetro [4] gave the concept of weak non-Archimedean in fuzzy metric space. Using the same concept for Menger PM spaces, Mishra et al. [22] proved the common fixed point theorem for six maps, Also they introduced semi-compatibility. In this paper, we generalized the theorem [22] for family of maps and proved the common fixed point theorems using the pair of semi-compatible and reciprocally continuous maps for one pair and R-weakly commuting maps for another pair in Menger WNAPM-spaces. Our results extends and generalizes several known results in metric spaces, probabilistic metric spaces and the similar spaces.

SOME FIXED POINT THEOREMS AND EXAMPLE IN $\cal{M}$-FUZZY METRIC SPACE

  • Park, Jong-Seo
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제17권3호
    • /
    • pp.205-209
    • /
    • 2010
  • We introduce the concept of semi-compatible and weak-compatible in $\cal{M}$-fuzzy metric space, and prove some fixed point theorem for four self maps satisfying some conditions in $\cal{M}$-fuzzy metric space.

SEM-COMPATIBILITY AND FIXED POINT THEOREM IN MENGER SPACE

  • Singh, Bijendra;Jain, Shishir
    • 충청수학회지
    • /
    • 제17권1호
    • /
    • pp.1-17
    • /
    • 2004
  • In this paper, the concept of semi-compatibility in Menger space is introduced and it is used to prove results on the existence of a unique common fixed point of four self-maps. These results are a very wide improvement of Mishra [8], Dedeic and Sarapa [3, 4], Cain and Kasril [1], and Sehgal and Bharucha Reid [10].

  • PDF

농업 기후 정보 생산을 위한 미래 기후 자료 처리 GrADS 및 R 프로그램 구현 (Implementation of GrADS and R Scripts for Processing Future Climate Data to Produce Agricultural Climate Information)

  • 이규종;이세미;이변우;김광수
    • 대기
    • /
    • 제23권2호
    • /
    • pp.237-243
    • /
    • 2013
  • A set of scripts for GrADS (Grid Analysis and Display System) and R was implemented to produce agricultural climate information using the future climate scenarios based on the Representative Concentration Pathways. The GrADS script was used to calculate agricultural climate indices including growing degree days and cooling degree days. The script generated agricultural climate maps of these indices, which are compatible with common Geographic Information System (GIS) applications. To perform a statistical analysis using the agricultural climate maps, a script for R, which is open source statistical software, was used. Because a large number of spatial climate data were produced, parallel processing packages such as SNOW, doSNOW, and foreach were used to perform a simple statistical analysis in the R script. The parallel script of R had speedup on workstations with multi-CPU cores.