Some Results for Feng-Liu type Mappings in Modular Metric Spaces

Abstract

In this paper we investigate some fixed point results of Feng and Liu type multi-valued mappings in modular metric spaces. We also give an example to show that these results are more general versions of Feng and Liu’s theorem.

Feng-Liu Type Fixed Point Results for Multivalued Mappings in GMMS

“…Following that, many authors expanded his approach through different metric spaces; for example in [27]. In addition, there exist an application of Caristi-type mappings in [28]. We examine Caristi-type mappings and state Feng-Liu-type results in GMMS in this section.…”

Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions

“…Umit et al [11] introduced Bogin type w-contractions and proved fixed-point theorems for such contractions in a w-complete modular metric space and provided application to antiperiodic boundary value problems. Furthermore, we see that Chaipunya et al [12] introduced Geraghty type theorems and Turkoglu and Kilinc [13] introduced Caristi type theorems in a modular metric space and gave its applications in integral equations. For more results of fixed-point theorems in modular metric space and some applications of fixed-point theorems, readers may refer to [14][15][16][17][18][19][20].…”

(φ, ψ)-Contractıon Condition for Multivalued Mappings in Complete Modular Metric Spaces

“…al. gave some fixed point results of multivalued mappings in modular meric spaces [26].Tukoglu and Kılınç [27]. gave modular metric versions of Khojasteh, Karapinar and Khandani's results.…”