Fixed point theorems of Rothe and Altman types about convex-power condensing operator and application

Motivated by the open question posed by H. K. XU in [39] (Question 2:8), Belhadj, Ben Amar and Boumaiza introduced in [5] the concept of Meir-Keeler condensing operator for self-mappings in a Banach space via an arbitrary measure of weak noncompactness. In this paper, we introduce the concept of Meir- Keeler condensing operator for nonself-mappings in a Banach space via a measure of weak noncompactness and we establish fixed point results under the condition of Leray-Schauder type. Some basic hybrid fixed point theorems involving the sum as well as the product of two operators are also presented. These results generalize the results on the lines of Krasnoselskii and Dhage. An application is given to nonlinear hybrid linearly perturbed integral equations and an example is also presented.

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ON THE RANDOM FIXED POINT THEOREMS IN ABSTRACT SPACE

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30707-0 ◽

1981 ◽

Vol 1 (2) ◽

pp. 133-144 ◽

Cited By ~ 2

Author(s):

Shaozhong Chen ◽

Zuoshu Liu

Keyword(s):

Fixed Point ◽

Fixed Point Theorems ◽

Abstract Space ◽

Random Fixed Point

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Carsitis Fixed Point Theorems On Complete Partial Metric Space

10.33329/aus.2019.n26.4.16 ◽

2019 ◽

Vol 26 (4) ◽

pp. 124-129

Keyword(s):

Fixed Point ◽

Metric Space ◽

Fixed Point Theorems ◽

Partial Metric Space ◽

Partial Metric

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Common fixed point theorems via common limit range property in symmetric spaces under generalized F-contractions

Nonlinear Analysis Modelling and Control ◽

10.15388/na.2015.3.2 ◽

2015 ◽

Vol 20 (3) ◽

pp. 331-347

Author(s):

Hemant Kumar Nashine ◽

◽

Zoran Kadelburg ◽

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Symmetric Spaces ◽

Fixed Point Theorems ◽

Common Limit ◽

Common Fixed Point Theorems ◽

Common Limit Range Property

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Some Common Fixed Point Theorem in Complete Metric Space of Integral Type

International Journal of Emerging Research in Management and Technology ◽

10.23956/ijermt.v6i8.155 ◽

2018 ◽

Vol 6 (8) ◽

pp. 297

Author(s):

Jagdish C. Chaudhary ◽

Shailesh T. Patel

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Complete Metric Space ◽

Contractive Condition ◽

Integral Type ◽

Complete Metric Spaces ◽

Common Fixed Point Theorems ◽

Common Fixed Point Theorem

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral type.

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