Contractive Mappings

Reich, Simeon; Zaslavski, Alexander J.

doi:10.1007/978-1-4614-9533-8_3

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2019

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“…The known work in fixed point theory is the Banach contraction principle which ensured the existence of a fixed point for a contractive self-mapping over a complete metric space. Numerous researchers have built up the existence of fixed points in many directions, see [1][2][3][4][5][6][7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

On Common Fixed Point Results for New Contractions with Applications to Graph and Integral Equations

et al. 2019

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The investigation of symmetric/asymmetric structures and their applications in mathematics (in particular in operator theory and functional analysis) is useful and fruitful. A metric space has the property of symmetry. By looking in the same direction and using the α -admissibility with regard to η and θ -functions, we demonstrate some existence and uniqueness fixed point theorems. The obtained results extend and generalize the main result of Isik et al. (2019). At the end, some illustrated applications are presented.

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