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Öğe Enriched P-Contractions on Normed Space and a Fixed Point Result(Association of Mathematicians (MATDER), 2024) Altun, Ishak; Hançer, Hatice Aslan; Ateş, Merve DoğanThis paper introduces the concept of enriched P-contractions on linear normed spaces, and provides illustrative examples that highlight the differences between this new concept and its previous counterparts. It then gives a research result regarding the existence and uniqueness of the fixed point of this innovative type of contractions in Banach spaces. Finally, reminds us of the concept of enriched nonexpansive mappings and also offers a simple fixed point theorem for such mappings. © MatDer.Öğe On multivalued P-contractive mappings that belongs to class of weakly picard operators(House of the Book of Science, 2021) Hançer, Hatice AslanIn the present paper, by introducing the P-contractivity of a multivalued mapping, we give a new class of multivalued weakly Picard operators on complete metric spaces and show that the class of multivalued contractions is a proper subset of this new class. We also give a nontrivial example showing this fact. © 2021, House of the Book of Science. All rights reserved.Öğe ON TWO TYPES ALMOST (a; Fd)-CONTRACTIONS ON QUASI METRIC SPACE(2019) Hançer, Hatice AslanIn this paper, Örst we introduce two new types almost contractions on quasi metric space named as almost (a; Fd)-contraction of type (x) and of type (y). Then, taking into account both left and right completeness of quasi metric space, we present some Öxed point results for these contractions. We also provide some illustrative and comparative examples.