A Generalization of Suzuki and Ćirić Fixed point Theorems

Deepak Khantwal; Rajendra Pant

doi:10.22130/scma.2025.2063970.2229

A Generalization of Suzuki and Ćirić Fixed point Theorems

Mathematics and Applied Mathematics

Noida International University
National Institute for Theoretical and Computational Sciences (NITheCS)

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

Abstract

This paper aims to present a generalization of the main results of Suzuki [Proc. Amer. Math. Soc. 136(5):1861–1869, 2008] and Ćirić [Proc. Amer. Math. Soc. 45: 267–273, 1974]. We introduce a new class of mappings that contains several existing classes of contraction mappings as special cases. We then establish some fixed point results for this new class of mappings. We also provide illustrative examples to support our theoretical findings. Moreover, we discuss an application to delay differential equations.

Original language	English
Pages (from-to)	251-264
Number of pages	14
Journal	Sahand Communications in Mathematical Analysis
Volume	23
Issue number	3
DOIs	https://doi.org/10.22130/scma.2025.2063970.2229
Publication status	Published - 1 Jun 2026

Keywords

Cirić’s quasi-contraction
Fixed point
Semiquasi-contraction
Suzuki contraction

ASJC Scopus subject areas

Analysis
Numerical Analysis
Applied Mathematics

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10.22130/scma.2025.2063970.2229

Cite this

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abstract = "This paper aims to present a generalization of the main results of Suzuki [Proc. Amer. Math. Soc. 136(5):1861{\textendash}1869, 2008] and {\'C}iri{\'c} [Proc. Amer. Math. Soc. 45: 267{\textendash}273, 1974]. We introduce a new class of mappings that contains several existing classes of contraction mappings as special cases. We then establish some fixed point results for this new class of mappings. We also provide illustrative examples to support our theoretical findings. Moreover, we discuss an application to delay differential equations.",

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AU - Pant, Rajendra

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N2 - This paper aims to present a generalization of the main results of Suzuki [Proc. Amer. Math. Soc. 136(5):1861–1869, 2008] and Ćirić [Proc. Amer. Math. Soc. 45: 267–273, 1974]. We introduce a new class of mappings that contains several existing classes of contraction mappings as special cases. We then establish some fixed point results for this new class of mappings. We also provide illustrative examples to support our theoretical findings. Moreover, we discuss an application to delay differential equations.

AB - This paper aims to present a generalization of the main results of Suzuki [Proc. Amer. Math. Soc. 136(5):1861–1869, 2008] and Ćirić [Proc. Amer. Math. Soc. 45: 267–273, 1974]. We introduce a new class of mappings that contains several existing classes of contraction mappings as special cases. We then establish some fixed point results for this new class of mappings. We also provide illustrative examples to support our theoretical findings. Moreover, we discuss an application to delay differential equations.

KW - Cirić’s quasi-contraction

KW - Fixed point

KW - Semiquasi-contraction

KW - Suzuki contraction

UR - https://www.scopus.com/pages/publications/105043706454

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JO - Sahand Communications in Mathematical Analysis

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ER -

A Generalization of Suzuki and Ćirić Fixed point Theorems

Abstract

Keywords

ASJC Scopus subject areas

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