Powered by OpenAIRE graph
Found an issue? Give us feedback
addClaim

SOME COMMON FIXED POINTS THEOREMS FOR OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS IN MENGER SPACE

Authors: A.K. Chaudhary; K. Jha; K.B. Manandhar; D. Mihet;

SOME COMMON FIXED POINTS THEOREMS FOR OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS IN MENGER SPACE

Abstract

The fixed point theory as a part of the non-linear analysis is the study of function in metric or non-metric settings. K. Menger in1942 introduced the notion of probabilistic metric space (or statistical space or Menger Space) which is an important generalization of metric space and the study of this space was expanded rapidly with the pioneering work of B. Schweizer and A. Skalar [21] in 1960 and the work of V.M. Sehgal and A.T. Bharucha Reid [23] in 1972. This space broadens in weakly compatible in Menger space by Singh and Jain [24], B.D. Pant et. al [16] and this notion also extend to occasionally weakly compatible by AI. Thapagi and Shahzad [27]. The purpose of this paper is to establish a common fixed point result in Menger space in two pairs and three pairs of mappings by using occasionally weakly compatible mappings. Our first theorem generalizes the theorem of Sharma and Shahu [28] and B. Fisher et.al [29] and both theorems deduce some similar results in the literature.

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!