Fixed point theorems for cyclic contractive mappings via altering distance functions in metric-like spaces

Jianhua Chen; Xianjiu Huang; Shengjun Li

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 857-874
  • ISSN: 2391-5455

Abstract

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In this paper, we introduce two different contractive conditions and prove some new fixed point theorems for cyclic (ψ,ϕ,φ)α-contractive mappings and α-(κ,φ)g-contractive mappings in complete metric-like spaces via altering distance functions. Our results generalize and extend some existing results. Moreover, some examples are given to support the obtained results.

How to cite

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Jianhua Chen, Xianjiu Huang, and Shengjun Li. "Fixed point theorems for cyclic contractive mappings via altering distance functions in metric-like spaces." Open Mathematics 14.1 (2016): 857-874. <http://eudml.org/doc/287167>.

@article{JianhuaChen2016,
abstract = {In this paper, we introduce two different contractive conditions and prove some new fixed point theorems for cyclic (ψ,ϕ,φ)α-contractive mappings and α-(κ,φ)g-contractive mappings in complete metric-like spaces via altering distance functions. Our results generalize and extend some existing results. Moreover, some examples are given to support the obtained results.},
author = {Jianhua Chen, Xianjiu Huang, Shengjun Li},
journal = {Open Mathematics},
keywords = {α-admissible; (ψ,ϕ,φ)α-contractive; α-(κ,φ)g-contractive; Fixed point; Metric-like spaces; -admissible; $(\psi ,\phi ,\varphi )_\alpha $-contractive; $\alpha -(\kappa ,\varphi )_g$-contractive; fixed point; metric-like spaces},
language = {eng},
number = {1},
pages = {857-874},
title = {Fixed point theorems for cyclic contractive mappings via altering distance functions in metric-like spaces},
url = {http://eudml.org/doc/287167},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Jianhua Chen
AU - Xianjiu Huang
AU - Shengjun Li
TI - Fixed point theorems for cyclic contractive mappings via altering distance functions in metric-like spaces
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 857
EP - 874
AB - In this paper, we introduce two different contractive conditions and prove some new fixed point theorems for cyclic (ψ,ϕ,φ)α-contractive mappings and α-(κ,φ)g-contractive mappings in complete metric-like spaces via altering distance functions. Our results generalize and extend some existing results. Moreover, some examples are given to support the obtained results.
LA - eng
KW - α-admissible; (ψ,ϕ,φ)α-contractive; α-(κ,φ)g-contractive; Fixed point; Metric-like spaces; -admissible; $(\psi ,\phi ,\varphi )_\alpha $-contractive; $\alpha -(\kappa ,\varphi )_g$-contractive; fixed point; metric-like spaces
UR - http://eudml.org/doc/287167
ER -

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