Geraghty and Ćirić type fixed point theorems in b-metric spaces

Rajendra Pant; R. Panicker

doi:10.22436/jnsa.009.11.03

Geraghty and Ćirić type fixed point theorems in b-metric spaces

Rajendra Pant
, R. Panicker

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

In this paper, we obtain some fixed point theorems for admissible mappings in b-metric spaces. Some useful examples are given to illustrate the facts. We also discuss an application to a nonlinear quadratic integral equation. Our results complement, extend and generalize a number of fixed point theorems including the well-known Geraghty [M. A. Geraghty, Proc. Amer. Math. Soc., 40 (1973), 604–608] and Ćirić [L. B. Ćirić, Proc. Amer. Math. Soc., 45 (1974), 267–273] theorems on b-metric spaces.

Original language	English
Pages (from-to)	5741-5755
Number of pages	15
Journal	Journal of Nonlinear Science and Applications
Volume	9
Issue number	11
DOIs	https://doi.org/10.22436/jnsa.009.11.03
Publication status	Published - 2016
Externally published	Yes

Keywords

(α, β)-Geraghty type contractive mapping
Fixed point
Generalized α-quasi-contraction
b-metric spaces

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.22436/jnsa.009.11.03

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title = "Geraghty and {\'C}iri{\'c} type fixed point theorems in b-metric spaces",

abstract = "In this paper, we obtain some fixed point theorems for admissible mappings in b-metric spaces. Some useful examples are given to illustrate the facts. We also discuss an application to a nonlinear quadratic integral equation. Our results complement, extend and generalize a number of fixed point theorems including the well-known Geraghty [M. A. Geraghty, Proc. Amer. Math. Soc., 40 (1973), 604–608] and {\'C}iri{\'c} [L. B. {\'C}iri{\'c}, Proc. Amer. Math. Soc., 45 (1974), 267–273] theorems on b-metric spaces.",

keywords = "(α, β)-Geraghty type contractive mapping, Fixed point, Generalized α-quasi-contraction, b-metric spaces",

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year = "2016",

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language = "English",

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T1 - Geraghty and Ćirić type fixed point theorems in b-metric spaces

AU - Pant, Rajendra

AU - Panicker, R.

PY - 2016

Y1 - 2016

N2 - In this paper, we obtain some fixed point theorems for admissible mappings in b-metric spaces. Some useful examples are given to illustrate the facts. We also discuss an application to a nonlinear quadratic integral equation. Our results complement, extend and generalize a number of fixed point theorems including the well-known Geraghty [M. A. Geraghty, Proc. Amer. Math. Soc., 40 (1973), 604–608] and Ćirić [L. B. Ćirić, Proc. Amer. Math. Soc., 45 (1974), 267–273] theorems on b-metric spaces.

AB - In this paper, we obtain some fixed point theorems for admissible mappings in b-metric spaces. Some useful examples are given to illustrate the facts. We also discuss an application to a nonlinear quadratic integral equation. Our results complement, extend and generalize a number of fixed point theorems including the well-known Geraghty [M. A. Geraghty, Proc. Amer. Math. Soc., 40 (1973), 604–608] and Ćirić [L. B. Ćirić, Proc. Amer. Math. Soc., 45 (1974), 267–273] theorems on b-metric spaces.

KW - (α, β)-Geraghty type contractive mapping

KW - Fixed point

KW - Generalized α-quasi-contraction

KW - b-metric spaces

UR - https://www.scopus.com/pages/publications/84998678113

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M3 - Article

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SN - 2008-1898

VL - 9

SP - 5741

EP - 5755

JO - Journal of Nonlinear Science and Applications

JF - Journal of Nonlinear Science and Applications

IS - 11

ER -

Geraghty and Ćirić type fixed point theorems in b-metric spaces

Abstract

Keywords

ASJC Scopus subject areas

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