Geodesic
Meir-Keeler condensing operators and applications
Filomat, Tome 35 (2021) no. 7, p. 2175

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DOI

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
DOI : 10.2298/FIL2107175H
Classification : 47H09, 47H10, 47H30
Keywords: Meir-Keeler condensing operators, measure of weak noncompactness, nonlinear hybrid linearly perturbed integral equations 
Sana Hadj Amor; Abdelhak Traiki. Meir-Keeler condensing operators and applications. Filomat, Tome 35 (2021) no. 7, p. 2175 . doi: 10.2298/FIL2107175H
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     title = {Meir-Keeler condensing operators and applications},
     journal = {Filomat},
     pages = {2175 },
     year = {2021},
     volume = {35},
     number = {7},
     doi = {10.2298/FIL2107175H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2107175H/}
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